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HIGH PERFORMANCE CMOS WITHMETAL INDUCED LATERAL CRYSTALLIZATION
OF AMORPHOUS SILICON
A DISSERTATION
SUBMITTED TO THE DEPARTMENT OF
ELECTRICAL ENGINEERING
AND THE COMMITTEE ON GRADUATE STUDIES
OF STANFORD UNIVERSITY
IN PARTIAL FULFILLMENT OF THE REQUIREMENTS
FOR THE DEGREE OF
DOCTOR OF PHILOSOPHY
Amol Ramesh Joshi
March 2003
c© Copyright by Amol Ramesh Joshi 2003
All Rights Reserved
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I certify that I have read this dissertation and that, in my opinion, it is fully adequate
in scope and quality as a dissertation for the degree of Doctor of Philosophy.
Krishna Saraswat(Principal Advisor)
I certify that I have read this dissertation and that, in my opinion, it is fully adequate
in scope and quality as a dissertation for the degree of Doctor of Philosophy.
James Plummer(Associate Advisor)
I certify that I have read this dissertation and that, in my opinion, it is fully adequate
in scope and quality as a dissertation for the degree of Doctor of Philosophy.
Michael Deal
Approved for the University Committee on Graduate Studies.
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Abstract
Depending on the circuit architecture, the performance of VLSI chips is dominated by in-
terconnects and it will get even worse in the future. With every generation, as the transistor
size keeps shrinking, the chip size is increasing. As a result, the interconnect cross sections
are shrinking but the lengths are increasing. Fabricating an integrated circuit using multi-
ple layers of transistors is a promising approach towards improving chip performance. In a
multiple layer integrated circuit (3-D IC) scheme, blocks of circuits are arranged in differ-
ent layers of Si on the same chip, instead of placing them side by side, and then connected
by short, vertical interconnects. This has an advantage of reducing lengths as well as the
number of long interconnects so that the chip can operate at higher speeds.
For a 3-D IC, it is desirable to have the performance of transistors, fabricated on upper
layers, close to that of bulk-Si transistors. However, a significant reduction in fabrica-
tion temperatures may be needed in order to preserve the lower layers of transistors and
interconnects. In this thesis, we present high performance CMOS devices with a peak
processing temperature of 500C which constitute a promising step towards realizing 3-
D integrated circuits. The lowering of processing temperature is achieved by using metal
induced crystallization (MIC) of silicon. Needle-like crystal growth during metal induced
lateral crystallization (MILC) is used to obtain a MOS channel free of grain boundaries.
Using this MOS channel with the dopant activation during MIC, high performance, submi-
cron CMOS devices are obtained.
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A physical model for crystal growth during nickel induced crystallization is discussed in
detail and compared with the experimental observations of crystal growth from literature.
The model makes use of two regimes of crystal growth: diffusion limited and surface
reaction limited. It also attempts to compare MIC and solid phase crystallization (SPC).
Dopant activation has been found to occur during MIC. An interesting application of
MIC for dopant activation in MOS gate electrode is demonstrated and its effects on the
reliability of gate oxide are analyzed.
MIC may enable us to build transistors needed for 3-D integrated circuits at lower
temperatures and therefore help relieve problems that may be faced by many VLSI chips
in the future.
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Acknowledgments
I would like to thank my advisor, Prof. Krishna Saraswat for his support and guidance even
when things were not working out. It was a pleasure to work with him.
I also thank Prof. James Plummer and Dr. Michael Deal for being on my orals as well as
reading committee. I thank Prof. Piero Pianetta for being the Chair of my orals committee.
Funding for my Ph.D. work was provided by DARPA and MARCO Interconnect Focus
Center. I thank them for keeping my research going.
Irene Sweeney helped me a lot during my Ph.D. She took care of the administrative
hurdles very efficiently.
Throughout my Ph.D. career, Dr. James McVittie was very resourceful. He offered lots
of relevant advice and helped me with finding old and rare references in a short time. He
also helped me with getting approval for introducing Nickel in the fabrication facility.
The experimental work of transistor fabrication was mostly done at Stanford Nanofabri-
cation Facility (SNF). I would like to thank the people who maintain the facility especially
Gladys Sarmiento, Bob Wheeler, Nancy Latta, Keith Gaul, Len Booth, Mark McCord,
Paul Jerabek, Margaret Prisbe and Robin King. Dr. Eric Perozziello provided important
information on special lab processes.
Some critical work with ebeam was done at UC Santa Barbara Nanofab. I thank Bill
Mitchell and Ernie Caine for accepting my work at a short notice and for finishing my long
pending work in two days.
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I am thankful to Prof. Tsu-Jae King of UC Berkeley and her students, especially Dr. Nick
Lindert and Dr. Wen-Chin Lee for Ni deposition.
At Stanford, I got a lot of help for TEM from Dr. Ann Marshall, Yaocheng Liu and
Rohit Shenoy. Chi On Chui helped me obtain lots of SEM pictures.
My research and thesis would not be complete without help from Saraswat group mem-
bers. I am most thankful to Dr. Vivek Subramanian who was my mentor when I joined
Saraswat group. He also got me started on my project on Metal Induced Crystallization.
Tejas Krishnamohan coauthored my paper on theory of metal induced crystallized. In the
process I received valuable understanding of MILC which I would have probably missed
otherwise. I interacted a lot with Chi On Chui about devices for 3-D ICs and other experi-
ments on MIC. Other past and present members from whom I got a lot of help through stim-
ulating discussions on different topics are Dr. Albert Wang, Dr. Navakant Bhat, Dr. Steve
Jurichich, Dr. Mayur Joshi, Dr. Shahram Alibeik, Dr. Tien-Chun Yang, Dr. Pawan Kapur,
Dr. Ben Shieh, Dr. Ting-Yen Chiang, Dr. Shukri Souri, Dr. Nabeel Ibrahim, Dr. Pranav
Kalavade, Rohit Shenoy, Gaurav Chandra, Ali Okyay and Ammar Nayfeh.
People from various other groups also helped me through discussions. I would like
to mention Yaocheng Liu, Sameer Jain, Kailash Gopalakrishnan, Dr. Niranjan Talwalkar,
Omer Oralkan, Richard and Lalit.
During my stay at Stanford, my life was made enjoyable by a number of friends but this
space is too small to list all of them.
I would like to acknowledge my wife Anuradha for her love and encouragement. She
read my papers and thesis carefully and corrected grammatical errors.
No amount of thanks are enough for three people. They are my parents and my younger
brother, Ashish. It is due to their love, encouragement and sacrifice, was I able to reach this
milestone. It must have been difficult for them to accommodate me for 17 years and then
let me stay away for next 10 years. This thesis is dedicated to them.
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Contents
Abstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v
Acknowledgments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vii
List of Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xiii
List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xiv
1 Introduction 1
1.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 Objectives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
1.3 Thesis Organization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
2 Background 4
2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
2.2 Motivation for 3-D ICs . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2.2.1 VLSI Performance Limitations due to Interconnects . . . . . . . . 5
2.2.2 Limitations of Cu Interconnects . . . . . . . . . . . . . . . . . . . 6
2.2.3 3-D IC Architecture . . . . . . . . . . . . . . . . . . . . . . . . . 7
2.3 Performance Comparison of 2-D and 3-D ICs . . . . . . . . . . . . . . . . 9
2.4 Realizing 3-D ICs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
2.4.1 Si Recrystallization with Laser Beams . . . . . . . . . . . . . . . . 13
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2.4.2 Wafer Bonding . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
2.4.3 Epitaxial Regrowth from Substrate . . . . . . . . . . . . . . . . . . 14
2.4.4 Seeded Crystallization of Silicon . . . . . . . . . . . . . . . . . . . 15
2.5 Low Temperature Crystallization of Silicon . . . . . . . . . . . . . . . . . 16
2.6 Ge Seeding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
2.7 Metal Induced Crystallization . . . . . . . . . . . . . . . . . . . . . . . . . 18
2.8 Dopant Activation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
2.9 Fabrication of MOS Transistor with MIC . . . . . . . . . . . . . . . . . . 20
2.10 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
3 A Model for Crystal Growth during Metal Induced Lateral Crystallization of
Amorphous Silicon 22
3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
3.2 Relation between MILC Growth Rate and NiSi2 Thinning Rate . . . . . . . 26
3.3 Diffusion Limited Regime . . . . . . . . . . . . . . . . . . . . . . . . . . 30
3.4 Surface Reaction Limited Regime . . . . . . . . . . . . . . . . . . . . . . 33
3.4.1 Surface Reaction Rate Unchanged with Time . . . . . . . . . . . . 34
3.4.2 Surface Reaction Rate Decreases with Time . . . . . . . . . . . . . 35
3.5 Combined Model for MILC Growth Estimation . . . . . . . . . . . . . . . 37
3.5.1 Large Values ofτ1 . . . . . . . . . . . . . . . . . . . . . . . . . . 38
3.5.2 Small Values ofτ1 . . . . . . . . . . . . . . . . . . . . . . . . . . 39
3.6 Results and Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
3.7 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
4 Crystallization and Dopant Activation with Metal Induced Crystallization 46
4.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46
4.2 Experimental Details . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48
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4.2.1 Dopant Activation . . . . . . . . . . . . . . . . . . . . . . . . . . 48
4.2.2 TEM Study of Crystal Growth During MILC . . . . . . . . . . . . 48
4.3 Results and Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
4.3.1 Dopant Activation Results with Spreading Resistance Analysis . . . 50
4.3.2 TEM Results for MILC . . . . . . . . . . . . . . . . . . . . . . . . 50
4.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55
5 Nickel Induced Crystallization of α-Si Gate Electrodes at 500C and MOS
Capacitor Reliability 57
5.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
5.2 Experimental . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
5.3 Results and Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . 58
5.3.1 SIMS and Spreading Resistance Analysis . . . . . . . . . . . . . . 58
5.3.2 TEM Studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62
5.3.3 C-V Measurements . . . . . . . . . . . . . . . . . . . . . . . . . . 63
5.3.4 I-V Measurements . . . . . . . . . . . . . . . . . . . . . . . . . . 66
5.3.5 Oxide Reliability with QBD Measurements . . . . . . . . . . . . . . 68
5.3.6 Zerbst Plots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68
5.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
6 High Performance Submicron CMOS with Metal Induced Lateral
Crystallization of Amorphous Silicon 73
6.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
6.2 CMOS Transistor Fabrication . . . . . . . . . . . . . . . . . . . . . . . . . 74
6.3 Results and Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76
6.3.1 Performance of CMOS with MILC at 500C . . . . . . . . . . . . 76
6.3.2 Performance of CMOS with MILC at 450C . . . . . . . . . . . . 78
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6.3.3 Effect of Device Width . . . . . . . . . . . . . . . . . . . . . . . . 81
6.4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85
7 Conclusions 86
7.1 Contributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86
7.1.1 A Model for MILC . . . . . . . . . . . . . . . . . . . . . . . . . . 86
7.1.2 Metal Induced Crystallization and Dopant Activation . . . . . . . . 87
7.1.3 MIC Dopant Activation and MOS Capacitor Reliability . . . . . . . 87
7.1.4 High Performance CMOS with MILC . . . . . . . . . . . . . . . . 87
7.2 Recommendations for Future Work . . . . . . . . . . . . . . . . . . . . . . 88
Bibliography 89
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List of Tables
2.1 A Summary of Metal Induced Crystallization observations. Source: Ob-
tained in part from Konnoet al.[36]. . . . . . . . . . . . . . . . . . . . . . 19
3.1 Lattice constants of some silicides. . . . . . . . . . . . . . . . . . . . . . . 24
5.1 Annealing conditions for crystallization of the gateα-Si on experimental
and control wafers. Wafers B and C do not have any silicide. . . . . . . . . 59
6.1 Performance of submicron MILC transistors. . . . . . . . . . . . . . . . . 78
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List of Figures
2.1 Comparison of gate and interconnect delays (longest global wire) using the
2001 ITRS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
2.2 Schematic of a 3-D IC showing devices on separate Si layers and VILICs.
Source: Derived from Fig. 11 in Banerjeeet al.[3]. . . . . . . . . . . . . . 8
2.3 Schematic of 3-D IC with heterogeneous technologies on different layers.
Source: Derived from Fig. 12 in Banerjeeet al.[3]. . . . . . . . . . . . . . 9
2.4 Wire length distributions for 2-D and 3-D ICs. Source: Banerjeeet al.[3]. . 11
2.5 Wire limited chip area as a function of semi-global pitch for 3-D chip.
Operating frequency is 3 GHz. Source: Banerjeeet al.[3]. . . . . . . . . . 12
2.6 Comparison of 2-D and 3-D ICs with respect to operating frequency. Source:
Banerjeeet al.[3]. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
2.7 Epitaxial lateral overgrowth for 3-D IC. . . . . . . . . . . . . . . . . . . . 15
2.8 Simplified schematic cross section of TFT. Interlayer oxide and metal are
not shown. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21
3.1 Molar free energy of a mixture of Ni and Si. Ni has a lower free energy at
the NiSi2/α-Si interface while Si has a lower free energy at the NiSi2/c-Si
interface. Source: Derived from Fig. 14 in Hayzeldenet al.[51]. . . . . . . 24
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3.2 Schematic diagram showing NiSi2 precipitate orientations favorable (〈110〉)
and unfavorable (〈100〉, 〈111〉) for MILC. The 〈100〉 and〈111〉 oriented
precipitates have normals which will intersect either the top or bottom sur-
face. Source: Derived from Fig. 12 in Hayzeldenet al.[51]. . . . . . . . . . 25
3.3 Illustration of MILC starting from a long line of Ni. . . . . . . . . . . . . . 27
3.4 Schematic diagram showing 1-D NiSi2 mediated crystallization ofα-Si. . . 28
3.5 Diagram showing Ni concentrations in different regions during MILC. . . . 31
3.6 Comparison of model and experimental results for MILC length. . . . . . . 41
3.7 Comparison of model and experimental results for MILC rate. The tran-
sitions between diffusion limited and surface reaction limited regimes are
marked by circles. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
3.8 Results of numerical calculations of MILC length for combined model. . . 43
3.9 Results of numerical calculations of MILC growth rate for the combined
model. The transitions between diffusion limited and surface reaction lim-
ited regimes are marked by circles. . . . . . . . . . . . . . . . . . . . . . . 44
4.1 Effects of grain boundaries on transistor performance. Source: Subrama-
nianet al.[29] . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47
4.2 Schematic of dopant activation experiment. . . . . . . . . . . . . . . . . . 49
4.3 Spreading resistance measurement profiles of the samples for dopant acti-
vation experiment. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
4.4 (a) Plan view TEM of MILC region; (b) selective area diffraction pattern
of MILC poly-Si; and (c) selective area diffraction pattern ofα-Si. . . . . . 53
4.5 (a) TEM of transistor structure; (b) selective area diffraction pattern; and
(c) boundary ofα-Si and crystallized Si. . . . . . . . . . . . . . . . . . . . 54
4.6 Illustration of MILC growth in wide and narrow channel regions. . . . . . . 55
5.1 Schematic cross section of MIC capacitor. . . . . . . . . . . . . . . . . . . 60
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5.2 SIMS profiles: (a) Ni and P in the gate stack; and (b) Ni in the substrate. . . 61
5.3 Spreading resistance profiles in the gate stack. . . . . . . . . . . . . . . . . 62
5.4 Cross section TEM of the gate stack: (a) wafer A; and (b) wafer B. . . . . . 64
5.5 C-V plot overlay: (a) low frequency; and (b) high frequency. . . . . . . . . 65
5.6 I-V characteristics for capacitors: (a) inversion; and (b) accumulation. . . . 67
5.7 QBD for gate and substrate injection of electrons. . . . . . . . . . . . . . . 69
5.8 Schematic band diagrams for wafer A (with Ni) and B (no Ni). . . . . . . . 70
5.9 Zerbst plots for wafers A and B. . . . . . . . . . . . . . . . . . . . . . . . 71
6.1 Schematic 3-D view of transistor channel island before gate electrode de-
position and patterning. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
6.2 Schematic cross section of transistor showing MILC process. . . . . . . . . 76
6.3 ID vs. VG for 500C crystallized devices: (a) NMOS; and (b) PMOS. . . . 79
6.4 ID vs. VD for 500C crystallized devices: (a) NMOS; and (b) PMOS. . . . 80
6.5 ID vs. VG for 450C crystallized devices: (a) NMOS; and (b) PMOS. . . . 82
6.6 ID vs. VD for 450C crystallized devices: (a) NMOS; and (b) PMOS. . . . 83
6.7 ION and IOFF as a function of device width for 500C crystallized devices:
(a) NMOS; and (b) PMOS. . . . . . . . . . . . . . . . . . . . . . . . . . . 84
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Chapter 1
Introduction
1.1 Motivation
As transistor scaling progresses more or less as predicted by the International Technology
Roadmap for Semiconductors (ITRS) [1] roadmap, the number and length of interconnects
also increases. Since the scaled down transistors have smaller delays than those of long
interconnect lines, the speed of typical VLSI chips such as microprocessors is currently
limited by interconnect delay. Since there is a practical limit to improving conductivity of
interconnect metals by using new materials like copper, new methods of circumventing this
obstacle are being explored by various research groups.
One of the ways of achieving improved chip speed is by arranging transistors in multiple
layers instead of a conventional single layer. These transistors on different layers are then
connected using short, vertical, interlayer interconnects (VILICs) [2]. As a result of this
arrangement, long interconnects are replaced by shorter interconnects and the chip speed
is improved. Multiple layer integrated circuits (3-D ICs) can be built by wafer bonding or
by fabricating transistors in deposited layers of silicon. In this thesis, the latter approach is
1
2 Chapter 1 : Introduction
explored.
Device fabrication in a 3-D IC may face processing temperature limitations in order to
preserve underlying interconnects and devices. With that in mind, metal induced crystal-
lization (MIC) has been used in this work to reduce the peak processing temperature. In
MIC, a thin layer of amorphous silicon (α-Si) is deposited over already fabricated devices
and interconnects. In order to lower the crystallization temperature, metals like Ni are
deposited in lithographically defined areas ofα-Si films. Upon annealing, crystallization
occurs from these areas. In the crystallized regions, MOS transistors can then be fabricated.
1.2 Objectives
The goals of this thesis are:
1. To gain a theoretical understanding of MIC process and obtain a model for crystal
growth.
2. To study crystallization and dopant activation using MIC.
3. To explore effects of Ni on reliability of MOS capacitors when used to activate
dopants in gate electrode.
4. To fabricate high performance MOS transistors with the help of metal induced lateral
crystallization (MILC) of silicon.
1.3 Thesis Organization
Chapter 2 starts with an introduction to 3-D ICs and also goes into the background work on
low temperature crystallization of amorphous silicon including metal induced crystalliza-
tion. It will give some theoretical basis for the MIC/MILC process. This is then continued
1.3 : Thesis Organization 3
with a physical model for crystal growth during MILC which is proposed in Chapter 3,
based on crystal growth data available in the literature. Crystallization and dopant activa-
tion using nickel induced crystallization are described in Chapter 4. The effects of using Ni
for gate dopant activation on MOS capacitor reliability are presented in Chapter 5. Chap-
ter 6 describes fabrication of submicon CMOS with MILC and the results. Finally, the
conclusions of this work and recommendations for future work are stated in Chapter 7.
Chapter 2
Background
2.1 Introduction
With advancing transistor technology and growth of the electronics industry, there are de-
mands on VLSI chips for increased functionality and reduced power and cost. The delays
of transistors have reduced with scaling but at the same time interconnect delays have
increased rapidly. In addition, a big fraction of chip power is being dissipated in intercon-
nects. Increasing demands for integration of different technologies are being realized with
System-on-Chip (SoC) designs which may become difficult to achieve in a conventional
2-D IC. Recently, it has been shown that 3-D ICs may present a method to alleviate some
of the problems mentioned above [3]. The motivation for 3-D ICs will be discussed in the
beginning of this chapter. After the discussion of different techniques for obtaining 3-D
ICs, background work on low temperature crystallization of silicon and related topics will
be presented.
4
2.2 : Motivation for 3-D ICs 5
2.2 Motivation for 3-D ICs
2.2.1 VLSI Performance Limitations due to Interconnects
With growing demands for increased functionality and complexity of modern VLSI chips,
the area and density of transistors is increasing with every generation. In order to fit more
and more transistors in same area, transistor dimensions are being scaled aggressively.
While this scaling has successfully reduced the gate delays, interconnect performance has
degraded significantly. Due to the reduction in width and height of wires and increased
lengths, the resistance and capacitance of these wires have increased. This has resulted in
a significant increase in RC delay which is much larger than the gate delay. Depending on
the circuit architecture, the performance of VLSI chips may be dominated by interconnects
and it will get even worse in the future. Fig. 2.1 shows a comparison of interconnect RC
delays vs. gate delays based on the 2001 ITRS [1]. The numbers for the gate delay were
taken from the ITRS. The longest interconnect delays were optimized with repeaters. They
were calculated from the following formula given in Banerjeeet al.[3].
τd = 3.24L√
2.4rr0ccNMOS (2.1)
τd is the delay of the interconnect with repeaters.L is the total length of the interconnect.
r andc are the interconnect resistance and capacitance per unit length.cNMOS is the gate
capacitance of the minimum sized NMOS andr0 is its resistance. The calculations for
RC delay in Fig. 2.1 were done assuming ideal Cu resistivity. As explained below, Cu
resistivity and hence the RC delay will be even higher in reality.
6 Chapter 2 : Background
10-4
10-3
10-2
10-1
100
101
20 30 40 50 60 70 80 90
Del
ay (n
s)
Feature Size (nm)
Interconnect RC Delay
Gate Delay
Figure 2.1: Comparison of gate and interconnect delays (longest globalwire) using the 2001 ITRS.
2.2.2 Limitations of Cu Interconnects
Cu with low-κ dielectric was introduced to alleviate the problems of increasing interconnect
RC delays [4–7]. Cu is one of the best conductors available at temperatures close to 100C.
Due to its low resistivity, it can be expected to reduce the RC delays. Limitations for
Cu interconnect result mainly from two factors; (i) increase in the resistivity of Cu with
decreasing wire cross section and (ii) barrier layer thickness [8].
Because of increased electron scattering from interconnect walls, the effective resis-
tivity of Cu will increase as interconnect dimensions shrink. The surface scattering effect
depends on a parameterk which is given byk = d/λmfp whered is the smallest dimension
of the wire andλmfp is the mean free path of electrons. The effect of surface scattering on
2.2 : Motivation for 3-D ICs 7
resistivity was calculated by Campbell [9]
ρs
ρ0=
1
1− 3(1−P )λmfp
2d
∫∞1 ( 1
x3 − 1x5)
1−e−kx
1−Pe−kx dx(2.2)
ρs andρ0 are resistivities with and without surface scattering. ParameterP indicates the
extent of specular scattering from the surface.P lies between 0 and 1. A value of 1
indicates complete specular reflection while a value of 0 indicates diffuse scattering.
The second component which adds to the resistivity is the barrier layer which is put
down to prevent Cu diffusion from interconnects. Since the barrier layer thickness does
not scale rapidly with technology, it occupies a higher and higher fraction of the wire cross
sectional area. IfAb is the area occupied by barrier, AR is the aspect ratio of wire and
W is the width, then the effective resistivityρb can be calculated using a simple resistivity
formula to beρb
ρ0=
AR×W 2
AR×W 2 − Ab=
1
1− AbAR×W 2
(2.3)
As the wire cross section shrinks, Joule heating in wires increases due to the increasing
current density. Due to the two components mentioned above, the resistivity of intercon-
nects will keep increasing with scaling which aggravates the problem of Joule heating. Due
to the temperature increase, the resistance of wires increases further. This problem cannot
simply be solved by having wider wires because it will lead to an increase in the number
of interconnect layers and also increase complexity of design. Therefore, we can see that
conventional 2-D ICs will face serious limitations in the future due to interconnects.
2.2.3 3-D IC Architecture
In a 3-D architecture, a 2-D circuit is divided into many logic and memory blocks. As
shown in fig. 2.2 they are arranged in multiple stacked layers of Si. Each Si layer can
8 Chapter 2 : Background
Figure 2.2: Schematic of a 3-D IC showing devices on separate Silayers and VILICs. Source: Derived from Fig. 11 inBanerjeeet al.[3].
have its own interconnect layers and the connections between different layers are made by
VILICs. This 3-D structure offers flexibility in system design and interconnect routing. The
blocks on critical paths can be rearranged into different layers so that RC delay is reduced.
Using this method, some long, global interconnects can be converted to short VILICs to
reduce the negative impact of scaling on interconnect performance.
3-D ICs also offers the possibility of building an SoC with heterogeneous technolo-
gies arranged on different Si layers as illustrated in fig. 2.3. Conventional 2-D SoC chips
2.3 : Performance Comparison of 2-D and 3-D ICs 9
Figure 2.3: Schematic of 3-D IC with heterogeneous technologies ondifferent layers. Source: Derived from Fig. 12 inBanerjeeet al.[3].
will face limitations arising from noise due to interference between analog and digital cir-
cuits [10] as well as from increasing delays and power dissipation due to long wires con-
necting different circuit blocks. Using a 3-D architecture can alleviate these problems by
reducing interconnect lengths (by using VILICs) and by isolating different technologies.
2.3 Performance Comparison of 2-D and 3-D ICs
As seen in the previous section, 3-D ICs can be made by putting some circuit blocks on
a separate Si layers and connecting two or more layers with VILICs. Depending on the
10 Chapter 2 : Background
configuration this can result in different advantages in chip performance. It is assumed that
wire width is half of the pitch.
1. Due to VILICs, the 3-D architecture reduces the number of long wires as well as the
total wiring requirement. Fig. 2.4 shows wire length distributions of 2-D and 3-D ICs
which have the same number of gates. The interconnect density functioni(l) shown
in Fig. 2.4 indicates the number of wires of lengthl. Herel is expressed in terms of
gate pitches. The cumulative interconnect density functionI(l) shown below gives
the number of interconnects with lengths equal to or less thanl.
I(l) =
∫ l
1
i(x)dx (2.4)
LSemi-global and LLocal are the lengths of the longest wires on semi-global and local
tiers respectively.
2. If the operating frequency of the chip is to be kept the same, then the area of a
3-D chip optimized for wiring pitches and total wiring length, with two Si layers
is smaller than conventional 2-D chip. This reduction in area results from reduced
global/semi-global pitch and reduced wiring requirement. In the example shown in
fig. 2.5, the 3-D chip has gates equally divided between two Si layers. The optimum
3-D chip has 35% smaller area than 2-D for operating frequency of 3 GHz [3].
3. In addition to a reduction in area, interconnect delays can be reduced by increasing
the pitch of global/semi-global wires. Increasing the pitch reduces resistance as well
as line-to-line capacitance. In fig. 2.6, a 2-D chip with operating frequency of 3 GHz
is compared with 3-D chip with increasing semi-global pitch. It can be noticed that
optimum 3-D chip area increases with operating frequency but it remains less than
that of 2-D case even when the frequency for 3-D is 4 GHz.
2.4 : Realizing 3-D ICs 11
Figure 2.4: Wire length distributions for 2-D and 3-D ICs. Source:Banerjeeet al.[3].
4. Using simulations, van Hijningenet al.[10] have shown two orders of magnitude
reduction in noise when a mixed signal chip is converted from 2-D to 3-D.
2.4 Realizing 3-D ICs
So far we have seen that a 3-D architecture promises to alleviate interconnect problems
that are going to be faced by conventional 2-D IC technology. Now we discuss methods for
fabricating these structures. If a 3-D IC is to be built layer by layer, the maximum process
temperature must be limited in order to preserve prefabricated device/interconnect layers.
This limitation of temperature arises from at least three components: (a) interconnect met-
als such as Al can melt or react with other materials and those like Cu can diffuse through
barriers and eventually reach device regions where they will cause traps, (b) the interlayer
12 Chapter 2 : Background
Figure 2.5: Wire limited chip area as a function of semi-global pitch for3-D chip. Operating frequency is 3 GHz. Source:Banerjeeet al.[3].
dielectrics and gate dielectrics may fail, and (c) the dopants in already fabricated devices
may diffuse excessively causing punchthroughs or deeper junctions. The maximum allow-
able temperature will be different based on the materials used during fabrication. An 8 nm
thick TaN barrier has been shown to be good enough to prevent Cu diffusion for 30 minutes
during a 600C anneal [11] and approximately 64 hours during a 450C anneal [12]. The
interlayer dielectric can be stable for temperatures of 400C or higher [13] depending on
the material used while high-κ gate dielectrics such as HfO2 have been shown to be stable
up to 600C [14, 15]. Dopant diffusion in Si will typically occur at temperatures exceed-
ing 600C. So a good process for building devices for 3-D ICs should have a maximum
temperature close to 500C or even lower.
2.4 : Realizing 3-D ICs 13
Figure 2.6: Comparison of 2-D and 3-D ICs with respect to operatingfrequency. Source: Banerjeeet al.[3].
2.4.1 Si Recrystallization with Laser Beams
During the early 1980’s several research groups [16–21] fabricated 3-D IC structures in
polycrystalline silicon (poly-Si) layers which was recrystallized using laser beams. Cir-
cuits, especially for imaging and A/D conversion were reported. Laser beam crystalliza-
tion works by melting Si locally and regrowing crystals but it is a serial process and takes
a long time. Also, the laser process raises the temperature of the chip so there is a risk
of damaging the lower layers of devices. Many of the reports cited above used a layer of
poly-Si to prevent damage from heating and some of them also used WSix based intercon-
nects for thermal stability. Since current ICs are using Cu interconnects, heating due to a
14 Chapter 2 : Background
laser is likely to be unacceptable and also adding a poly-Si buffer will complicate process-
ing. Also, there can be grain boundaries in devices which can lead to statistical variation
in device properties [22]. This variation results from the number as well as position of
grain boundaries in the channel, especially when the grain size is comparable to transistor
dimensions [23].
2.4.2 Wafer Bonding
In wafer bonding, full circuits with interconnects are fabricated in different Si substrates.
Then a fewµm thick surface layer containing devices from one of the wafers is separated
from the bulk and bonded to the second wafer. This way high quality transistors can be
obtained for both Si layers and high performance can be expected. However, alignment
accuracy with which the two chips are bonded may be a problem. In a wire pitch limited
chip, one cannot afford to waste too much space in order to allow for alignment errors.
Recently, applications related to imaging were reported using wafer bonded 3-D ICs [24,
25].
2.4.3 Epitaxial Regrowth from Substrate
In this method, after one device layer is complete, an insulator like SiO2 is deposited and
trenches are made which reach the Si substrate. Using selective epitaxy, Si is epitaxially
grown starting from the trench and continuing laterally in adjacent areas over the oxide
where devices are built [26]. The epitaxy conditions are such that Si does not deposit on
the oxide. While epitaxial regrowth yields good crystal quality, the temperatures needed
are often close to 900C which is much higher than acceptable for interconnects. As a
result, it may be used only for chips where there are no interconnects between the two Si
layers and is therefore limited in its application. An illustration of epitaxial regrowth is
2.4 : Realizing 3-D ICs 15
SiO
c−Si Substrate
Selective EpitaxialGrowth of Si
2
c−Si IslandSi Seed forNext SEG Layer
c−Si Substrate
AfterCMP
Figure 2.7: Epitaxial lateral overgrowth for 3-D IC.
shown in fig. 2.7.
2.4.4 Seeded Crystallization of Silicon
In seeded crystallization, the idea is to build the circuit layer by layer. So after the first
device layer is complete, the Si film is deposited in amorphous form. Using crystallization
agents like Ge [27] or Ni [28] to reduce the crystallization temperature, poly-Si is obtained
in desired areas and devices are made followed by their own interconnect layers and VIL-
ICs. This process can be repeated to build further layers of devices. The main problem is
16 Chapter 2 : Background
that the device quality is not as good as in bulk-Si devices. However, for chips like micro-
processors which are limited by wires, only a small fraction of the chip area is occupied
by devices. So in the upper layers, it is possible to use bigger devices for more current and
place them without increasing the wiring pitch and hence the chip area. The devices in the
upper layer have potential applications like repeaters for long interconnects. If the repeaters
are instead placed in the lowermost layer, interconnects to which they are connected must
be brought down to the lowermost layer. This will cause obstacles for the intermediate lay-
ers and reduce their density. As a result of the reduced density, the chip area will increase
in order to accommodate all the wires.
For building a true 3-D IC architecture, reduction in processing temperature is abso-
lutely necessary. High temperatures can cause problems such as interconnect melting,
diffusion of metals like Cu through barriers into devices, instability of low-κ or high-κ
materials etc. High temperatures can also ruin devices in the lower Si layers due to excess
diffusion of dopants. So the maximum process temperature should be limited to approxi-
mately 500C. This limit is somewhat arbitrary and a lower limit will work better.
Due to the advantages of seeded crystallization like low temperature, the ability to
achieve good alignment for devices in different layers and the flexibility it offers in terms
of placement of devices, seeded crystallization of silicon can be used in order to fabricate
transistors with low processing temperatures.
2.5 Low Temperature Crystallization of Silicon
In order to fabricate MOS devices at low temperatures in the upper layers of a circuit,
silicon needs to be deposited and crystallized at low temperatures. Polysilicon deposition
usually occurs at high temperature (≥ 550 C) and results in rough films. Therefore, it is
preferable to deposit Si in amorphous form and crystallize it. Two important methods for
2.6 : Ge Seeding 17
crystallization are solid phase crystallization and seeded crystallization. In thermal solid
phase crystallization (SPC),α-Si is annealed in a furnace and the film is crystallized with
processes of nucleation and crystal growth. Using this method, the crystal size obtained is
roughly on the order of the Si film thickness. The nuclei usually form first at the interface
of theα-Si film and the substrate and dominate crystal growth.
Large crystals can be obtained if unwanted nucleation is kept at a minimum during
crystal growth. Fortunately, for silicon, the nucleation activation energy is higher than the
crystallization energy. In other words, a high temperature is needed to form nuclei while
a lower temperature is sufficient to cause their growth into a crystal. So keeping a low
number of nuclei during a low temperature anneal allows crystal growth but suppresses
additional homogeneous nucleation and nucleation at theα-Si/substrate interface. External
agents like Ge or metals can be used to cause nucleation at controlled locations using low
temperature. This process is known as seeding.
2.6 Ge Seeding
In an attempt to reduce nucleation temperature and achieve control of nuclei locations,
Subramanianet al.[27, 29] introduced Ge seeding.α-Si films were deposited at 500C on
an insulating substrate. Oxide was deposited as a mask and seeding holes were opened. Ge
was deposited in these seeding holes using selective LPCVD. The films were annealed at
550C to form nuclei in the seeding holes. After this, the crystallization was continued at
500C. Thin Film Transistors (TFTs) fabricated in these seeded poly-Si films were shown
to have good I-V characteristics. However, temperatures used in the process were still
higher than desired.
18 Chapter 2 : Background
2.7 Metal Induced Crystallization
In MIC of α-Si, certain metals are used to lower the crystallization temperature below what
would otherwise be required. In 1970, Bosnellet al.[30] observed MIC ofα-Si at 180C.
Since then many researchers have reported crystallization ofα-Si with Al, Au and Ag. All
of these metals form a eutectic with Si. Liuet al.[31] reported selective area crystallization
of α-Si with Pd. In their experiment,α-Si was deposited on top of a thin and discontinuous
Pd layer. Pd2Si formed where Pd and Si came in contact andα-Si started crystallizing
using the Pd2Si template. In 1987, Cammarataet al.[32] implantedα-Si films with Ni and
annealed them at 400C. They observed that octahedral precipitates of NiSi2 formed inside
the film.
In 1992, Hayzeldenet al.[33] formed NiSi2 by a Ni implant and 400C anneal. Upon
further annealing of films at 500C, they observed a silicide mediated phase transforma-
tion of amorphous to crystalline silicon (c-Si). NiSi2 precipitates migrated through the
α-Si leaving a trail of c-Si and growth occurred parallel to the〈111〉 direction. The crys-
tals obtained with this method were long along the direction of growth but quite narrow
in directions perpendicular to it. This was the first observation of MILC. Following this
observation, Leeet al.[34] started crystallization ofα-Si using a patterned thin film of Pd
on top. At 500C, crystals started growing from the edges of the Pd pattern. The crystals
were tens of microns long and about a micron wide. Similar to Ni MILC observations, the
growth direction was〈111〉. MILC using Co has been reported by Parket al.[35].
A summary of various MIC experiments from previous research is given in Table 2.1
2.8 : Dopant Activation 19
Table 2.1: A Summary of Metal Induced Crystallization observations.Source: Obtained in part from Konnoet al.[36].
System Crystallization Analysis Referencetemperature (C) technique
α-Si/Al 180 ED [30]325–350 RBS [37]
355 P-TEM [38]200 C-TEM [39]157 P-TEM,AES [40, 41]167 C-TEM [42]
180–220 C-TEM,DSC,XRD [43]α-Si/Ag 300 ED [30]
540 P-TEM [38]400 RBS [44–46]410 DSC,C-TEM [36]
α-Si/Au 100 ED [30]68–124 P-TEM [47]
250 P-TEM [48]175 P-TEM [49]
α-Si/In 535 P-TEM [50]α-Si/Ni 500–600 P-TEM [33, 51]α-Si/Co 500 P-TEM [35]α-Si/Pd 500–700 P-TEM [31]
2.8 Dopant Activation
Dopant activation is an important component of CMOS fabrication processes. In order to
obtain high on-currents, it is important to have good dopant activation in the source/drain
as well as the channel. Conventional methods of dopant activation in Si typically require
temperatures in excess of 800C. For a low temperature CMOS fabrication process, the
temperature at which this activation takes place is limited and poses a significant challenge.
20 Chapter 2 : Background
Dopant activation during MILC was first demonstrated by Leeet al.[52]. They doped
α-Si films with varying doses of phosphorus ion implants and then used Ni to crystallize
theα-Si. It was observed that approximately 10% of the dopant atoms were activated at
500 C upon annealing for 5 hours. Additionally, the sheet resistivity dropped as a larger
and larger fraction of the Si film became crystalline. They used this dopant activation in
the channel as well as gate electrode of a TFT.
2.9 Fabrication of MOS Transistor with MIC
MILC provides two key components viz. crystallization and dopant activation, for MOS
transistor fabrication at low (≤ 500 C) temperature. Putting these two factors together
gives a good MOS TFT but in order to improve further, more work was needed. This is
where a significant part of this thesis comes in. Based on a TEM study of crystal growth in
MILC, transistor design was improved to gain performance.
In a typical TFT (shown schematically in fig. 2.8), poly-Si is deposited over a glass
substrate at temperatures lower than 600C and a MOS transistor is fabricated in this Si
layer. The doping is done by ion implantation and processing steps like dopant activation
are completed at or below 600C so that the substrate is not damaged. A typical application
of TFTs has been active matrix liquid crystal displays (AMLCD). However, good quality
thin film CMOS device have potential application in 3-D ICs as well.
In 1993, Liu et al.[53] deposited thinα-Si films on a layer of Pd and crystallized it
using Pd induced crystallization [31]. For the first time, transistors were built in this layer
of MIC Si. However, in these devices, Pd was present all over the film and since Pd was
the lowermost layer, there was a possibility of source/drain shorts within a device as well
as between different devices. So this method had to be improved. Leeet al.[34] used Pd
induced lateral crystallization to crystallizeα-Si thin films and fabricated a TFT for the first
2.10 : Summary 21
DrainSource
Substrate
Channel
Gate
Gate Oxide
Figure 2.8: Simplified schematic cross section of TFT. Interlayer oxideand metal are not shown.
time using MILC. Later on TFTs were reported with MILC using Ni [28, 54] and Co [35].
Wanget al.[55] used Ni-MILC at 560C which yielded poly-Si film with a grain length
of about 1µm and a width smaller than 1µm. Then they annealed the samples at 900C in
order to increase the crystal size to about 10µm in length as well as width. The quality of
c-Si also improved due to the 900C annealing. Transistors fabricated in this film showed
performance close to that of SOI transistors of similar dimensions.
2.10 Summary
In this chapter, we gave a brief introduction to 3-D ICs and their relevance to IC technology
as transistor scaling progresses aggressively. An overview of different technologies which
are used to make devices for 3-D ICs was presented. Metal induced crystallization is a
promising technology for 3-D IC, with an advantage of low temperature of fabrication. In
the following chapter, a model for estimating crystal growth with MILC will be presented
in detail along with a theory for the MIC process.
Chapter 3
A Model for Crystal Growth during
Metal Induced Lateral Crystallization of
Amorphous Silicon
3.1 Introduction
Amorphous silicon has a higher free energy than crystalline silicon. As a result,α-Si
will be converted to more stable c-Si or poly-Si upon annealing. This is the driving force
behind the crystallization ofα-Si. Upon annealingα-Si, small organized clusters of atoms
known as nuclei start forming. This process is known as nucleation. The nuclei can grow
into crystals upon further annealing. In silicon, the activation energy for nucleation is
larger than that for crystallization. If low temperature annealing is used for crystal growth,
nucleation can be kept low and crystal growth can be started from the existing nuclei.
Since number of nuclei is small, large grains of c-Si can be obtained. For metals like Au
or Ag which form a eutectic with Si, the mechanism of crystallization involves lowering
22
3.1 : Introduction 23
the nucleation activation energy. The metal atoms weaken the bonds in Si and makeα-Si
more unstable [42]. As a result, its conversion to poly-Si or c-Si is more favorable. So
with the use of metals, heterogeneous nuclei can be formed at low temperature where the
homogeneous nucleation rate is small. These nuclei can then be grown into crystals at a
low temperature without significant increase in nucleation. In addition to increasing grain
size, it is also important to start nucleation at controlled locations. So a seeding agent like
Ge, Al or Au should be limited to certain areas of device like contact holes.
Metals which form silicides such as Ni, Co or Pd also cause a reduction of the crys-
tallization temperature. The silicide acts as a medium for the transport of atoms. Using
a system ofα-Si/Pd2Si/c-Si, Tuet al.[56] showed that dissociation of Pd2Si occurs at its
interface with c-Si and Pd diffuses through Pd2Si towardsα-Si. A similar mechanism was
suggested by Hayzeldenet al.[51] for NiSi2 mediated growth.
Kawazuet al.[57] suggested that at least in the case of Ni, the silicide which forms on
α-Si acts as a nucleus for Si crystallization. The lattice constants of different silicides are
indicated in Table 3.1. Growth of c-Si can occur using the silicide as a template. It can
be seen that Pd2Si does not have a good lattice match with silicon but Pd still enhances
crystallization. NiSi2 has a 0.4% and CoSi2 has a 1.2% lattice mismatch compared to c-Si.
So NiSi2 will be the best template for MILC and will yield the best quality of c-Si. After
inital work in Pd, almost all recent reports on MILC have used Ni.
The exact driving force behind MILC is not clear. Using the free energy diagram for a
mixture of Ni and Si shown in Fig. 3.1, Hayzeldenet al.[51] suggested that the chemical
potential of Ni is lower at the NiSi2/α-Si interface, whereas the chemical potential of Si
atoms is lower at the NiSi2/c-Si interface. So there is a driving force for Ni to move toward
α-Si to reduce its free energy. This Ni moving forward in turn reacts withα-Si to form new
NiSi2 and the process repeats. The Si atoms remaining behind attach to the NiSi2 template
to form c-Si since their chemical potential is lower at the NiSi2/c-Si interface.
24 Chapter 3 : A Model for Crystal Growth during MILC
Table 3.1: Lattice constants of some silicides.
Silicide Structure Latticeconstant (A)
CoSi2 Fluorite 5.364NiSi2 Fluorite 5.406Pd2Si Hexagonal 6.493
Si Diamond 5.430
0 20 40 60 80 100
Mol
ar F
ree
Ene
rgy
Percentage of Si(in Ni/Si Mixture)
← µNiNiSi2/c-Si
← µNiNiSi2/α-Si
µSiNiSi2/α-Si
µSiNiSi2/c-Si
(Ni) (Si)
NiSi2
Figure 3.1: Molar free energy of a mixture of Ni and Si. Ni has a lowerfree energy at the NiSi2/α-Si interface while Si has a lowerfree energy at the NiSi2/c-Si interface. Source: Derivedfrom Fig. 14 in Hayzeldenet al.[51].
3.1 : Introduction 25
[111][100] [110]
α−Si
NiSi Precipitates2
Figure 3.2: Schematic diagram showing NiSi2 precipitate orientationsfavorable (〈110〉) and unfavorable (〈100〉, 〈111〉) for MILC.The〈100〉 and〈111〉 oriented precipitates have normalswhich will intersect either the top or bottom surface.Source: Derived from Fig. 12 in Hayzeldenet al.[51].
Hayzeldenet al.[51] showed that octahedral NiSi2 precipitates form after Ni implanta-
tion in α-Si film and annealing at 400C for 3 hours. Upon further annealing at 500C,
c-Si nucleates on one or more faces of the octahedral NiSi2. Migration of these NiSi2 pre-
cipitates leads to growth of needles of c-Si which are parallel to〈111〉 directions. Fig. 3.2
shows NiSi2 precipitates oriented in〈100〉, 〈110〉 and〈111〉 in anα-Si film bounded only
by upper and lower surfaces. The shaded area in each represents the face on which MILC
starts and the arrow indicates the normal to the face which is also the direction along which
crystal growth takes place. So it can be seen that for the〈100〉 and 〈111〉 oriented pre-
cipitates, all of the face normals are such that crystal growth which starts on them will be
stopped soon because of either the upper or lower surface of the film. However, the〈110〉
oriented precipitate will have a better chance of causing extensive c-Si growth because four
of the111 planes exhibit normals within the plane of film.
The observations by Hayzeldenet al.[51] showed that c-Si needles often fan out with
26 Chapter 3 : A Model for Crystal Growth during MILC
a consequent reduction in NiSi2 thickness and increase in growth velocity. They showed
that the growth velocity is inversely proportional to the NiSi2 thickness which agrees with
diffusion limited growth. However, observations by Jinet al.[58] showed that the MILC
rate decreases with time which apparently does not match with diffusion-limited growth.
In this chapter we present a model to predict MILC crystal growth as a function of time. It
also reconciles the two observations by Hayzeldenet al.and Jinet al.
For 3-D integrated circuits where the thermal budget and maximum process temperature
are constrained to keep underlying interconnects and devices intact, this model will be
helpful in choosing a proper annealing temperature and time. If the maximum length of
transistors to be fabricated is known, the crystallization length need not exceed that length
and the time required for MILC can be calculated with the model.
In a typical MILC process used for making TFTs,α-Si is deposited on SiO2 surface
and covered with SiO2 deposited at a low temperature. After gate electrode deposition and
definition, a low temperature oxide is deposited as an interlayer dielectric. Contact holes
are opened over the source/drain and Ni is deposited. Upon annealing at a temperature
close to 400C, NiSi2 forms in the contact holes. Ni induced crystallization occurs when
theα-Si film is annealed at 500C as part of the original NiSi2 moves towardα-Si in the
channel leaving behind a trail of c-Si. While the NiSi2 front moves intoα-Si, about 0.02
atomic % Ni is left behind in the crystallized silicon [59].
3.2 Relation between MILC Growth Rate and NiSi2
Thinning Rate
The shape of crystals observed by Hayzeldenet al.[51] and Jinet al.[58] is needle-like.
Hayzeldenet al. made observations on isolated crystals of Si obtained with MILC where
3.2 : Relation between MILC Growth Rate and NiSi2 Thinning Rate 27
X
Y
Line of Ni
Needle−like Crystals
MILC Front
Figure 3.3: Illustration of MILC starting from a long line of Ni.
the growth can be essentially considered 1-D. In samples considered by Jinet al., when
MILC starts from a Ni covered region, Ni will go downward as well as sideways. Since
the sample is a thin film ofα-Si, we can ignore the downward movement of Ni. That
leaves us two dimensions to consider in the plane of the film. The lateral growth starts
out from a line of Ni with many needle-like crystals growing side by side and continues
uniformly into surroundingα-Si regions. As illustrated in Fig. 3.3 the resultant MILC front
is a straight line parallel to the starting line of Ni. Since there is no variation in the direction
perpendicular to crystal growth, we are again left with the 1-D case.
For simplifying calculations, throughout this model we have assumed that the initial
NiSi2 in the contact holes has been removed after a short anneal at a temperature close to
500 C. This short annealing will move the NiSi2 front away from the contact hole. With
28 Chapter 3 : A Model for Crystal Growth during MILC
ΓL1
NiSi2
2c−Siα
t
−SiΓ
t1 2
Figure 3.4: Schematic diagram showing 1-D NiSi2 mediatedcrystallization ofα-Si.
the initial NiSi2 removed, the Ni concentration in the c-Si region (Cc-Si) comes entirely from
the NiSi2 front. Therefore,
Cc-Si = 2× 10−4 × 5× 1022 = 1× 1019/cm3 (3.1)
Assume that the NiSi2 layer is of thicknessΓ1 at time t1 which has moved a distanceL
and has thicknessΓ2 at timet2 as shown in Fig. 3.4. The concentration of Ni (CNiSi2)in the
NiSi2 layer is approximately,
CNiSi2 = 2.5× 1022/cm3 (3.2)
Since theCc-Si in newly crystallized region of lengthL must come from the portion of
3.2 : Relation between MILC Growth Rate and NiSi2 Thinning Rate 29
NiSi2 front which was lost,
(Γ1 − Γ2)CNiSi2 = LCc-Si (3.3)
This equation also gives us the maximum crystal growth,Lmax. The maximum growth will
be reached when the NiSi2 thickness goes to zero. If we start with initial NiSi2 thickness
of Γ0 at timet = 0, Lmax is
Lmax = Γ0CNiSi2
Cc-Si(3.4)
For convenience, we defineη as the ratio of Ni concentration in NiSi2 and that in newly
formed c-Si.
η =CNiSi2
Cc-Si(3.5)
From Wonget al.[59], c-Si left behind is 0.02 atomic % (Cc-Si ≈ 1× 1019/cm3). In this
caseη is close to 2500. However, variation is possible in this value since it is derived using
a rough estimate of Ni concentration in c-Si. Another variable in the determination ofη is
the sample preparation and the condition in which crystal growth is carried out. To get a
feel for someLmax values, we can assumeΓ0 to be 10 nm which givesLmax value of 25µm.
This is about a factor of 2 smaller than the observed MILC length in Jinet al.[58]. So we
will adopt a value of 5000 for all calculations to get better estimates of crystal length and
growth rate.
Differentiating equation (3.3) with respect to time gives
−dΓ
dtCNiSi2 =
dL
dtCc-Si (3.6)
Denoting the growth rate byν, we rewrite the equation above as
ν = −dΓ
dt
CNiSi2
Cc-Si= −η
dΓ
dt≈ −5× 103 dΓ
dt(3.7)
30 Chapter 3 : A Model for Crystal Growth during MILC
From experimental observations [51, 58],ν ≈ 1 µm/hr so thatdΓ/dt ≈ −0.2 nm/hr which
makes sense given that the NiSi2 layer is a few nm thick.
Equations (3.3)–(3.7) apply regardless of the mechanism of c-Si growth but they are
not enough to predict how far the crystals will grow at a timet. In order to do that, we
need to consider how Ni atoms are moving and what is the growth limiting process. We
propose that the migration of the NiSi2 front in α-Si has two regimes depending on its
thickness. The first regime is diffusion limited growth when NiSi2 is thick at the beginning.
The second regime is reaction limited growth where the reaction of Ni andα-Si forms new
NiSi2. Both of these regimes are considered in separate sections that follow.
3.3 Diffusion Limited Regime
When the c-Si begins to grow behind the moving NiSi2 precipitate, it has been observed that
in the initial period of growth, the rate of growth is inversely proportional to the thickness
of the NiSi2 layer, which suggests a diffusion limited growth regime [51]. In this regime,
growth is limited by the diffusion flux of Ni and whatever amount of Ni reaches theα-Si,
reacts with it. We start by assuming the diffusivity,D, of Ni in NiSi2, a concentration
difference,∆C (= Cback−Cfront), between the back and front surfaces of the NiSi2 front as
shown in Fig. 3.5. It is also assumed thatD and∆C are constant during the process. With
a thickness of NiSi2 layer,Γ, the diffusion flux is
F1 =D∆C
Γ(3.8)
3.3 : Diffusion Limited Regime 31
NiSi2
∆C
Γ
α−Si c−Si
C c−Si
CC front
back
Cα −Si
C NiSi2
Figure 3.5: Diagram showing Ni concentrations in different regionsduring MILC.
This flux is responsible for the growth of new NiSi2 near theα-Si interface. IfN (=
2.5× 1022/cm3) is the number of Ni atoms needed to grow a unit volume of NiSi2 andν is
the crystal growth rate, we can write
F1 =D∆C
Γ= Nν = −Nη
dΓ
dt(3.9)
−D∆C
Nηdt = ΓdΓ (3.10)
32 Chapter 3 : A Model for Crystal Growth during MILC
Integration of equation (3.10) with respect to time gives
Γ(t) =
√2D∆C
Nη(τ0 − t) (3.11)
where,
τ0 =Γ2
0Nη
2D∆C(3.12)
Therefore, the crystal growth rate is
ν(t) = −ηdΓ
dt=
√D∆Cη
2N(τ0 − t)(3.13)
The growth at timet can be estimated by integratingν with time and usingΓ(0) = Γ0.
L(t) =
∫ t
0ν(t) dt = −η
∫ Γ(t)
Γ(0)
dΓ = η (Γ0 − Γ(t)) = ηΓ0
(1−
√1− t
τ0
)(3.14)
We can put some numbers in the equation above and see howL(t) behaves. Hayzeldenet
al. [51] have calculated the effective diffusivity (= D∆C/N ) to be 2.5× 10−14 cm2/s at
507 C. In another study by Hayzeldenet al.[33], the initial NiSi2 precipitate thickness
was 10 nm att = 0. Also Jinet al.[58] have used 5 nm thick Ni which is expected to give
close to 10–15 nm thick NiSi2. So we can assume the initial thickness to beΓ0 = 10 nm.
Therefore,
τ0 =Γ2
0Nη
2D∆C= 1× 105 s = 27.78 hr (3.15)
Γ(t) =
√2D∆C
Nη(τ0 − t) = 1× 10−6
√(1− 10−5t) cm (3.16)
ν(t) =
√D∆Cη
2N(τ0 − t)=
2.5× 10−8√(1− 10−5t)
cm/s (3.17)
3.4 : Surface Reaction Limited Regime 33
and
L(t) = ηΓ0
(1−
√1− t
τ0
)= 5× 10−3(1−
√1− 10−5t) cm (3.18)
3.4 Surface Reaction Limited Regime
As the NiSi2 layer thins down, the diffusion flux through it increases and after a point is
no longer a limiting factor. Now the growth is limited by the surface reaction between Ni
andα-Si. If the reaction rate constant isks and the Ni concentration at the interface isCα-Si
then we can write the reaction flux as
F2 = ksCα-Si = Nν (3.19)
and by expressingν in terms ofΓ,
ksCα-Si = −NηdΓ
dt(3.20)
Here we will consider two cases depending onks variation with time. In the first one,
the surface reaction rate is assumed to be constant while the second one considers it to be
exponentially decreasing with time. Another kind of time dependence may exist in which
case the equations can be solved in the same way as here. At this point it is not known
which one of these cases is physically correct. The proper choice ofks dependence on time
may depend on experimental conditions.
34 Chapter 3 : A Model for Crystal Growth during MILC
3.4.1 Surface Reaction Rate Unchanged with Time
Using the fluxF2,
−ksCα-Sidt = NηdΓ (3.21)
which, upon integration gives
Γ(t) =ksCα-Si
Nη(τ2 − t) (3.22)
and the growth rate (fort < τ2) as
ν =ksCα-Si
N(3.23)
Equation (3.22) indicates that the NiSi2 thickness will go to zero at a timeτ2 and crystal
growth will stop. The transition between the diffusion limited and surface reaction limited
regimes will occur at timettr when the crystal growth velocities of the two regimes match.
√D∆Cη
2N(τ0 − ttr)=
ksCα-Si
N(3.24)
ttr = τ0 −D∆Cη
2N
(ksCα-Si
N
)−2
(3.25)
Since the NiSi2 thicknesses must also match atttr,
Γ(ttr) = Γtr =
√2D∆C
Nη(τ0 − ttr) =
D∆C
N
(ksCα-Si
N
)−1
=ksCα-Si
Nη(τ2 − ttr) (3.26)
From equations (3.25) and (3.26),
τ2 = τ0 +D∆Cη
2N
(ksCα-Si
N
)−2
(3.27)
3.4 : Surface Reaction Limited Regime 35
Using equations (3.14) and (3.22), the crystal growth at timet can be calculated.
L(t) = η (Γ0 − Γ(t)) = η
(Γ0 −
D∆C
2N
(ksCα-Si
N
)−1
+ksCα-Si
Nη(t− τ0)
)(3.28)
At this point we can put some numbers in this equation and get values ofτ2, ttr and
crystal growth. From Hayzeldenet al.[51], at 507C,
D∆C
N= Γν = 2.5× 10−14 cm2/s (3.29)
and from Jinet al.[58], at 500C,
ksCα-Si
N= ν ≈ 1.5µm/hr = 4.17× 10−8 cm/s (3.30)
ttr = τ0 −D∆Cη
2N
(ksCα-Si
N
)−2
= 6.4× 104 s = 17.89 hr (3.31)
τ2 = τ0 +D∆Cη
2N
(ksCα-Si
N
)−2
= 1.36× 105 s = 37.8 hr (3.32)
Γ(t) =ksCα-Si
Nη(τ2 − t) = 1.13× 10−6(1− 7.35× 10−6t) cm (3.33)
L(t) = η (Γ0 − Γ(t)) = −6.71× 10−4 + 4.17× 10−8t cm (3.34)
Equations (3.33) and (3.34) are valid forttr < t < τ2.
3.4.2 Surface Reaction Rate Decreases with Time
Jin et al.[58] reported that the rate of MILC growth goes down significantly with an an-
nealing time of 70 hours at 500C and the primary reason they gave was rearrangement
of atoms inα-Si film. Sinceα-Si has a higher free energy than c-Si, it will convert to
36 Chapter 3 : A Model for Crystal Growth during MILC
more stable c-Si upon annealing. This process of conversion starts with the formation of
small clusters of atoms known as nuclei which grow into crystals on further annealing. So
the rearrangement of atoms suggested by Jinet al. can be considered as progress towards
homogeneous nucleation in the Si film. This will exponentially reduce the amount ofα-Si
available for reaction with Ni. Kosteret al.[60] indicated that the nucleation rate is ex-
ponential with time. Jinet al. also state that the rearrangement of atoms can reduce the
driving force for reaction between Ni andα-Si atoms in order to go fromα-Si to c-Si. As
far as this model is concerned, both of these effects can be included by considering aks(t)
exponentially decreasing with time.
ks(t) = ks0e−t/τ1 (3.35)
−ks0Cα-Sie−t/τ1dt = NηdΓ (3.36)
Integrating equation (3.36) gives the dependence ofΓ on time. Also considering thatΓ is
zero att = ∞,
Γ(t) =ks0Cα-Si
Nητ1e
−t/τ1 (3.37)
and growth rate is
ν(t) =ks0Cα-Si
Ne−t/τ1 (3.38)
L(t) = η (Γ0 − Γ(t)) = η
(Γ0 −
ks0Cα-Si
Nητ1e
−t/τ1
)(3.39)
When the transition occurs from diffusion limited growth to surface reaction limited
growth at timettr, the crystal length and growth velocities must match. So
√D∆Cη
2N(τ0 − ttr)=
ks0Cα-Si
Ne−ttr/τ1 (3.40)
3.5 : Combined Model for MILC Growth Estimation 37
Γ(ttr) = Γtr =
√2D∆C
Nη(τ0 − ttr) =
D∆C
N
(ks0Cα-Si
N
)−1
ettr/τ1 =ks0Cα-Si
Nητ1e
−ttr/τ1
(3.41)
Using equations (3.40) and (3.41),
τ1e−2ttr/τ1 =
D∆Cη
N
(ks0Cα-Si
N
)−2
(3.42)
τ1 = 2(τ0 − ttr) (3.43)
Starting with equations (3.29) and (3.30) we can obtain values forτ1, ttr andL(t). Solving
equations (3.42) and (3.43) iteratively,
τ1 = 1.28× 105 s = 35.56 hr (3.44)
ttr = 3.6× 104 s = 10 hr (3.45)
ν(t) =ks0Cα-Si
Ne−t/τ1 = 4.17× 10−8e−7.8×10−6t cm/s (3.46)
Γ(t) =ks0Cα-Si
Nητ1e
−t/τ1 = 1.07× 10−6e−7.8×10−6t cm (3.47)
L(t) = η(Γ0 − Γ(t)) = 5× 10−3 − 5.33× 10−3e−7.8×10−6t cm (3.48)
3.5 Combined Model for MILC Growth Estimation
The two cases discussed so far can be described by a combined model which takes into
account a certain range ofτ1 values. It can be further expanded toτ1 values not considered
earlier. In the following two subsections we describe each case.
38 Chapter 3 : A Model for Crystal Growth during MILC
3.5.1 Large Values ofτ 1
We start with the same equation (3.36) as before but include a negative constant of integra-
tion. So new expression ofΓ(t) is
Γ(t) =ks0Cα-Si
Nητ1e
−t/τ1 − β (3.49)
The expression for the growth rate will remain as in equation (3.38).β can be rewritten as
β =ks0Cα-Si
Nητ1e
−τ2/τ1 (3.50)
whereτ2 is the time at which the NiSi2 front thickness will go to zero and MILC will stop.
τ2 will depend onτ1 but the value has to be obtained by numerical calculations. In order to
getτ2 numerically, we make the following rearrangement of equations.
At t = ttr, NiSi2 thickness is
Γtr =D∆C
N
(ks0Cα-Si
N
)−1
ettr/τ1 =ks0Cα-Si
Nητ1(e
−ttr/τ1 − e−τ2/τ1) (3.51)
which gives
1− e−(τ2−ttr)/τ1 =D∆C
N
(ks0Cα-Si
N
)−2η
τ1e2ttr/τ1 (3.52)
From the growth rate equation (3.40), we can obtainttr and also simplify equation (3.52)
as
1− e−(τ2−ttr)/τ1 =2(τ0 − ttr)
τ1(3.53)
So
τ2 = ttr − τ1 ln
[1− 2(τ0 − ttr)
τ1
](3.54)
Γ(t) andL(t) = η(Γ0 − Γ(t)) can be obtained fromτ2.
3.5 : Combined Model for MILC Growth Estimation 39
It is easy to see that whenτ1 →∞,
τ2 = ttr − τ1
[−2(τ0 − ttr)
τ1
]= 2τ0 − ttr (3.55)
which agrees with the case of constant surface reaction rate in section 3.4.1. On the other
hand, asτ1 → 2(τ0 − ttr), τ2 → ∞ which agrees with the case of an exponentially de-
creasing surface reaction rate as discussed in section 3.4.2. So both the cases discussed in
section 3.4 are extreme cases of this general case.
3.5.2 Small Values ofτ 1
If τ1 < 2(τ0 − ttr), the earlier discussion does not apply. We have to start with equa-
tion (3.36) and use a positive constant of integration.
Γ(t) =ks0Cα-Si
Nητ1e
−t/τ1 + β (3.56)
Physically,β now represents the final thickness of NiSi2. As a result, not all of the Ni can
be used for MILC and the maximum extent of crystallization is now given by
Lmax = η(Γ0 − β) (3.57)
At t = ttr, the NiSi2 thickness is given by
Γtr =D∆C
N
(ks0Cα-Si
N
)−1
ettr/τ1 =ks0Cα-Si
Nητ1e
−ttr/τ1 + β (3.58)
β =ks0Cα-Si
Nητ1
(D∆C
N
(ks0Cα-Si
N
)−2η
τ1e2ttr/τ1 − 1
)e−ttr/τ1 (3.59)
40 Chapter 3 : A Model for Crystal Growth during MILC
ttr can be obtained from equation (3.40) and equation (3.59) can be simplified to
β =ks0Cα-Si
Nητ1
(2(τ0 − ttr)
τ1− 1
)e−ttr/τ1 (3.60)
Upon calculatingβ, Γ(t) andL(t) can be obtained. Asτ1 → 2(τ0 − ttr), β → 0 which
is same as theτ2 → ∞ case discussed in the section on largeτ1. At the other extreme, as
τ1 → 0, ν → 0, ttr → 0 andβ → Γ0 which means that MILC does not occur at all.
3.6 Results and Discussion
In order to see how the model compares with experimental data, the predictions of our
model in section 3.4 were plotted along with data from Jinet al.[58]. Fig. 3.6 and 3.7 show
the length of the crystallized region and MILC rate respectively at 500C as a function
of time. The transition between diffusion limited and surface reaction limited regimes is
marked by circles. Fig. 3.7 shows a diffusion limited growth regime at smaller times as
observed by Hayzeldenet al.[51]. Unfortunately, they only state that growth rate increases
with time but apart from a mention of 5A/s (1.8µm/hr) average growth rate, no details
of its increase with time were found. It can be noted that rate of 1.8µm/hr is somewhat
higher than our model predicts. This is probably due to a higher value ofη (owing to
lower levels of Ni in c-Si) in the sample. After a period of 10 to 18 hours, growth becomes
surface reaction limited. The differences between the model and experiment may have
arisen because in the experiment by Jinet al.[58], the initial NiSi2 was removed after a
3 hour anneal at 500C. This short anneal may have introduced more Ni into the c-Si region
than assumed by our model. The agreement between experimental data and exponentially
decreasing reaction rate is better than that with constant reaction rate.
3.6 : Results and Discussion 41
0
10
20
30
40
50
60
70
80
0 10 20 30 40 50 60 70 80
MIL
C L
engt
h (µ
m)
Annealing Time (hr)
Data from Jin et al. [58]
Reaction rate is constantReaction rate exponentially decreasing
Figure 3.6: Comparison of model and experimental results for MILClength.
The concept of decreasing reaction rate constant,ks, with time was adopted to con-
sider the reduction in the amount ofα-Si available for reaction with Ni due to competing
processes of nucleation and crystallization. Another factor which may contribute is the re-
duction of driving force due to atomic rearrangement inα-Si after extended annealing [58].
The model was then expanded to consider cases of differentτ1 values. Theτ1 value indi-
cates how fast homogeneous nucleation of theα-Si film is occurring or how fast the driving
force for reaction is decreasing. At any temperature there is a competition between MILC
and SPC. Forτ1 > 2(τ0−ttr), it was shown that the MILC growth will occur until all of the
Ni from the NiSi2 front is consumed. At low temperatures (about 500C or below), homo-
geneous nucleation and crystallization ofα-Si is quite slow and MILC wins against SPC.
So τ1 and the extent of crystallization,Lmax are expected to be large. Ifτ1 < 2(τ0 − ttr),
42 Chapter 3 : A Model for Crystal Growth during MILC
0
0.5
1
1.5
2
0 10 20 30 40 50 60 70 80
MIL
C R
ate
(µm
/hr)
Annealing Time (hr)
Data from Jin et al. [58]
Reaction rate is constant
Reaction rate exponentially decreasing
Data from Jin et al. [58]
Reaction rate is constantReaction rate exponentially decreasing
Regime transition point
Figure 3.7: Comparison of model and experimental results for MILCrate. The transitions between diffusion limited and surfacereaction limited regimes are marked by circles.
MILC growth will stop before all of the Ni from the NiSi2 front is consumed indicating
that SPC is getting faster. This is expected to occur at high temperatures where the ho-
mogeneous nucleation and crystallization ofα-Si is rapid. At very high temperatures,τ1
will go to zero, indicating no MILC growth. The plots in Fig. 3.8 and 3.9 show the re-
sults of numerical calculations at 500C for the combined model for small as well as large
values ofτ1. It can be seen that a reasonable match with MILC growth and MILC rate
data is obtained withτ1 = 41.7 hr. The time constant obtained by extrapolating data in
Kosteret al.[60] is about 694 hours at 500C. The discrepancy arises because the time
dependence we assumed may not be exact. The choice of time dependence found in the lit-
erature [60–62] varies with the method of Si film deposition and later processing. Also, our
3.6 : Results and Discussion 43
0
10
20
30
40
50
60
70
80
0 10 20 30 40 50 60 70 80
MIL
C L
engt
h (µ
m)
Annealing Time (hr)
τ1 = ∞
τ1 = 41.7 hr
τ1 = 27.8 hrτ1 = 13.9 hr
Data from Jin et al. [58]
Large τ1 caseSmall τ1 case
Figure 3.8: Results of numerical calculations of MILC length forcombined model.
simple model does not take into account all factors affecting nucleation and crystallization
processes as well as the presence of impurities.
The model is able to predict the results of MILC growth at 500C when the initial
supply or NiSi2 seed for MILC has been removed. Due to the lack of the data at temper-
atures other than 500C, the model could not be verified for those temperatures. It has
been assumed that the concentration difference∆C in the NiSi2 moving front remains un-
changed during diffusion limited growth and its magnitude is not known. Similarly,Cα-Si
is not known. Based on the data of Ni diffusivity in silicon [63] at 500C we can take
D ≈ 1× 10−11 cm2/s. Then we find∆C = 6.25× 1019/cm3. This excess∆C is small
compared to the amount of Ni in the NiSi2 and may be due to the segregation coefficient
between silicon and NiSi2.
44 Chapter 3 : A Model for Crystal Growth during MILC
0
0.5
1
1.5
2
0 10 20 30 40 50 60 70 80
MIL
C R
ate
(µm
/hr)
Annealing Time (hr)
τ1 = ∞
τ1 = 41.7 hr
τ1 = 27.8 hr
τ1 = 13.9 hr
Data from Jin et al. [58]
Large τ1 caseSmall τ1 case
Regime transition point
Figure 3.9: Results of numerical calculations of MILC growth rate forthe combined model. The transitions between diffusionlimited and surface reaction limited regimes are marked bycircles.
When it comes to predicting MILC rates for the cases where the original Ni source is
not removed, this model faces difficulties explaining the higher observed growth rates [58].
However, we can suggest a qualitative explanation. Since the Ni source also supplies Ni to
the newly formed c-Si, the Ni loss from NiSi2 moving front is expected to be smaller which
will give us a higher value ofη. Another reason may be that due to an additional flux of Ni
from the original Ni source, levels of Ni concentrationCα-Si, Cc-Si, Cback andCfront may all
rise and provide an increased Ni flux for reaction withα-Si.
3.7 : Summary 45
3.7 Summary
We have proposed a comprehensive, physical model for predicting MILC growth as a func-
tion of time with the initial Ni seed removed and compared with experimental data. This
model incorporates competition between MILC and SPC through a time-varying reaction
rate constant.
L(t) obtained from the case of a surface reaction rate decreasing exponentially has a
better match with the experimental data than the constant reaction rate case. As long as
the surface reaction rate is decreasing slowly (largeτ1), MILC will dominate and with the
initial NiSi2 removed, the maximum MILC growth is going to be the same regardless of
the surface reaction rate. However, the time needed to reach the final growth will depend
on surface reaction rate. If the surface reaction rate is decreasing rapidly (smallτ1), as it
is typically at high temperatures due to homogeneous nucleation, MILC does not achieve
its maximum growth. Since the model enables us to find outL(t), the time and the ther-
mal budget for a crystallization anneal can be estimated based on the dimensions of the
transistor to be fabricated.
In the next chapter, we will describe experiments for the study of dopant activation
and crystal growth during the MIC process. Understanding of both of these processes is
important for good quality CMOS devices.
Chapter 4
Crystallization and Dopant Activation
with Metal Induced Crystallization
4.1 Introduction
The presence of grain boundaries in MOS transistor channels can cause the following ef-
fects (a) reduction in on-current, (b) degradation of subthreshold slope, and (c) an increase
in leakage current. All of these are illustrated in fig. 4.1. As the number of grain bound-
aries increased from 0 to 1 or more, the on-current of the device shown in fig. 4.1 reduced
by more than a factor of 10 and the subthreshold slope decreased. Also, for more than 4
grain boundaries, the leakage current increased. For fabricating a good CMOS transistor,
therefore, grain boundaries inside the transistor channel need to be avoided. This means
that the method of crystallization used should yield large grains of Si. Since MILC occurs
at low temperatures there is a possibility that large crystals can be obtained without causing
excess homogeneous nucleation. In this chapter, we are going to study different methods
for starting MILC and see which method is better for eliminating the grain boundaries from
46
4.1 : Introduction 47
Figure 4.1: Effects of grain boundaries on transistor performance.Source: Subramanianet al.[29]
the channel.
Dopant activation is crucial for obtaining high performance transistors. Since series
resistance in transistors is one of the major hurdles in improving drive current, demands
on dopant activation to obtain low sheet resistance and contact resistivity will be more
severe as scaling continues more or less as predicted by ITRS [1]. Conventional thermal
activation of dopant requires high temperatures. Using MIC for dopant activation is one of
the ways to achieve dopant activation at low temperature [52, 64] where it is a byproduct of
crystallization. Here we present a comparison of nickel induced dopant activation and high
temperature activation along with some thought on the mechanism of activation during the
MIC process.
48 Chapter 4 : Crystallization and Dopant Activation with MIC
4.2 Experimental Details
4.2.1 Dopant Activation
For our dopant activation experiments, about 350 nm thickα-Si layers were deposited on
thermally oxidized Si wafers using silane LPCVD at 500C. Some films were implanted
with boron (32 keV, 2×1015 /cm2 + 80 keV, 2×1015 /cm2), some with phosphorus (70 keV,
2× 1015 /cm2 + 160 keV, 3× 1015 /cm2) and others were left undoped. 25 nm thick nickel
was sputter deposited on one film of each kind and annealed at 400C for 4 hours in N2 to
form nickel silicide. After the unreacted nickel was removed by etching in H2SO4+H2O2,
the samples were annealed at 450C for 24 hours in N2 to crystallize theα-Si film and
activate the dopant. Fig. 4.2 shows the schematic cross section of the samples. These
samples were analyzed with the spreading resistance measurement technique as a function
of depth inside the samples. Some wafers without Ni which had the same dopant implants
were annealed in an N2 ambient at 800C for 2 hours. They served as the control samples
for comparison.
4.2.2 TEM Study of Crystal Growth During MILC
Samples for plan view TEM of wide areaα-Si films crystallized with Ni-MILC were pre-
pared in order to study the grain size. 1µm SiO2 was grown on Si wafers and 100 nm thick
α-Si was deposited on it using LPCVD at 500C. After coating the wafers with photore-
sist, long seeding holes were opened photolithographically. 5 nm thick Ni was deposited
and patterned using photoresist liftoff. The wafers were annealed at 500C for 24 hours in
N2+H2 and diced in 3 mm×3 mm pieces. These pieces were immersed in concentrated HF
to dissolve the 1µm thermal oxide. After the oxide etching, portions of the Si films floated
to the surface of the HF. After diluting the HF with large amounts of water, the floating Si
4.2 : Experimental Details 49
α
Thermal SiO
c−Si Substrate
2
−Silicon FilmBefore Annealing
Nickel Layer
Silicon Atom
Dopant Atom
450 C Anneal
2
c−Si Substrate
Thermal SiO
α−Silicon Crystallized
Grains
and Activated with Nickel
Figure 4.2: Schematic of dopant activation experiment.
films were captured with a copper grid for mounting in TEM sample holders for plan-view
observation.
A study of crystal growth during the MILC process in submicron features was per-
formed using the cross-section TEM sample preparation method developed by Choet
al. [65]. Similar to our transistor structure, 1µm SiO2 was grown over Si substrates and
100 nm thickα-Si films were deposited by LPCVD. A layer of low temperature oxide
(LTO) was deposited and seeding holes were opened. 25 nm Ni was deposited and the
wafers were annealed at 400C to form the silicide. After wet etching of unreacted Ni,
100 µm long and 140 nm wide lines were patterned with electron beam lithography be-
tween seeding holes. Using plasma etching, mesas of 0.4µm height were formed in order
to facilitate side-view TEM observation of crystal growth. After mesa formation, samples
were annealed at 500C for 24 hours in N2+H2 to crystallize the lines ofα-Si with MILC.
50 Chapter 4 : Crystallization and Dopant Activation with MIC
4.3 Results and Discussion
4.3.1 Dopant Activation Results with Spreading Resistance Analysis
Dopant activation at 800C without Ni and at 450C with Ni was compared. Fig. 4.3 shows
the resistivity measured by spreading resistance analysis as a function of depth inside the
crystallized poly-Si film. There are seven curves shown in the figure. Three of them are for
phosphorus doped films, three for boron doped films and one for an undoped film. It can
be noticed that for doped samples, the poly-Si resistivities are similar for 800C 2 hour
anneal without Ni and 450C 24 hour anneal with Ni. Samples without Ni show 6 orders
of magnitude higher resistivity than samples with Ni for the same 450C 24 hour anneal.
The Ni-crystallized undoped film also shows 6 orders of magnitude higher resistivity than
Ni-crystallized doped films after 450C 24 hour anneal. This shows that Ni is activating
dopants and the difference between resistivities of Ni-crystallized undoped and doped films
is caused by dopant activation.
The dopant activation during MIC is related to the crystallization process which is simi-
lar to the dopant activation which occurs during pure thermal SPC. We have already seen in
Chapter 3 that MIC occurs as a result of Ni moving towardsα-Si in order to reduce the free
energy and Si atoms fromα-Si attach to the NiSi2 template. While this process is going
on, dopant atoms can get placed on lattice sites and therefore get activated.
4.3.2 TEM Results for MILC
Top-view TEM images of MILC structures for wide areaα-Si are shown in fig. 4.4(a). The
crystal growth started from the bottom part of figure and theα-Si/poly-Si boundary is near
the top. It can be seen that some of the crystals are over 2µm wide but many are narrower
than 1µm. Near the starting point of MILC, the average width of grains was estimated
4.3 : Results and Discussion 51
10-4
10-3
10-2
10-1
100
101
102
103
104
105
106
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35 0.4
Res
istiv
ity (
Ω-c
m)
Depth Inside Poly-Si Film (µm)
B-doped, no Ni (450°C)P-doped, no Ni (450°C)B-doped, with Ni (450°C)P-doped, with Ni (450°C)B-doped, no Ni (800°C)P-doped, no Ni (800°C)
Undoped, with Ni (450°C)
Figure 4.3: Spreading resistance measurement profiles of the samplesfor dopant activation experiment.
to be 0.6µm by observing changes in selective area diffraction (SAD) patterns. The SAD
of MILC poly-Si andα-Si regions are shown in fig. 4.4(b) and 4.4(c) respectively. The
MILC region is composed of several crystals of different orientation as seen from the SAD
pattern. The amorphous region SAD shows just diffused rings.
Fig. 4.5(a) shows side-view TEM images of a transistor structure with a width of
140 nm. Here the MILC was initiated from a region of size 2µm×2 µm, surrounding
the seeding hole and continued in the 140 nm wideα-Si line. Unlike the wide area TEM
images mentioned above, the MILC in 140 nm wideα-Si line produces a single crystal.
A SAD pattern of the MILC region is shown in fig. 4.5(b). The dots in the SAD image
confirm that the MILC region is a single crystal. The diffused rings in the SAD result from
the SiO2 underneath which is amorphous. The TEM also indicates that the single crystal Si
52 Chapter 4 : Crystallization and Dopant Activation with MIC
obtained from the MILC has many defects and is not as good as bulk-Si crystal. Along the
length of the structure, the crystal orientation changed every few microns but the silicon
remained single crystal. The length of each single crystal region is well over 1µm and it is
not possible to capture it in one TEM photograph. Silicon far away from the seeding point
stayed amorphous after the 500C 24 hour anneal. Fig. 4.5(c) shows the boundary between
the MILC and amorphous regions which is several tens ofµm away from the starting point
of MILC.
Our observations agree with TEM observations of MILC in submicron lines by Guet
al. [66]. They observed that a single crystal results for MILC for linewidths between 50 nm
and 200 nm but at higher widths competitive grain growth can occur in the beginning
of lateral crystallization. The difference between MILC for wide and narrow regions is
schematically shown in fig 4.6. If the region to be crystallized is wide, multiple grains can
grow side by side leaving one or more grain boundaries in the region. In narrow regions,
there is a higher probability that only one of those grains will grow and occupy the entire
channel region. Therefore, it is desirable to use narrow devices.
It is seen from TEMs that crystals grown with MILC in 140 nm lines are larger than the
CMOS transistors withWdrawn = L = 0.1µm. So these transistors should essentially be in
single crystal Si and should have high performance.
4.3 : Results and Discussion 53
(a)
(b) (c)
Figure 4.4: (a) Plan view TEM of MILC region; (b) selective areadiffraction pattern of MILC poly-Si; and (c) selective areadiffraction pattern ofα-Si.
54 Chapter 4 : Crystallization and Dopant Activation with MIC
(a)
(b)
(c)
Figure 4.5: (a) TEM of transistor structure; (b) selective area diffractionpattern; and (c) boundary ofα-Si and crystallized Si.
4.4 : Summary 55
Seeding Hole
Narrow Channel
Wide Channel
Grain Boundary
Figure 4.6: Illustration of MILC growth in wide and narrow channelregions.
4.4 Summary
In this chapter, we saw how crystallization and dopant activation take place when MIC is
used. TEM studies show that MILC in wide area yields a poly-Si film with lots of grain
boundaries but in narrow structures (140 nm) it yields single crystals well over aµm in
length. These are long enough to contain a single MOS transistor.
Dopant activation with nickel at 450C for 24 hours was found to be comparable to
thermal activation without nickel at 800C for 2 hours. This activation is good for the
source/drain and gate electrode during low temperature fabrication of CMOS. The mecha-
nism of dopant activation can be related to rearrangement of Si and dopant atoms as they
56 Chapter 4 : Crystallization and Dopant Activation with MIC
attach to the template left behind by NiSi2 in silicide-mediated crystal growth driven by
free energy difference between Ni/α-Si and Ni/c-Si. The next chapter will discuss reliabil-
ity issues of MOS capacitors when MIC is used for dopant activation in the gate electrode.
Chapter 5
Nickel Induced Crystallization of α-Si
Gate Electrodes at 500C and MOS
Capacitor Reliability
5.1 Introduction
We have seen in the previous chapter that MIC with Ni can be used to activate dopants.
For a low temperature process, it gives a nice way to activate dopants in gate electrodes or
source/drain regions which would otherwise require high temperatures. This will be helpful
especially for devices in the upper layers of 3-D IC or devices which cannot tolerate high
temperatures due to reliability concerns about new materials such as high-κ gate dielectric.
Ni is a fast diffuser [67] and a deep trap [68] in silicon. Therefore, if Ni is used to activate
dopants in gate electrodes, it is important to study the effects of Ni MIC on gate oxide and
overall capacitor reliability. In this chapter, we report details of materials analysis as well
as electrical measurements such as C-V, I-V and QBD for capacitors with and without Ni.
57
58 Chapter 5 : MIC for Gate Electrodes and MOS Capacitor Reliability
5.2 Experimental
PMOS capacitors were fabricated on (100) oriented n-type crystalline Si substrates with a
dopant concentration of 1015/cm3. Standard LOCOS was used for isolation. The gate di-
electric was 10 nm thick SiO2 thermally grown at 1000C in an ambient of 70% O2+30% N2.
Immediately after oxide growth,in-situ phosphorus dopedα-Si was deposited at 550C
by LPCVD. The thickness of theα-Si layer was 150 nm and the dopant was not activated.
The gateα-Si was patterned using plasma etching. LTO was deposited by LPCVD over the
patterned gate electrodes and spacers were formed on the sidewalls using anisotropic SiO2
plasma etching.
On an experimental wafer A, a 5 nm thick Ni layer was deposited and the samples were
annealed in N2+H2 at 400C for 4 hours to form silicide over theα-Si gate electrode.
No silicide was formed on the sidewalls because they were protected by SiO2 spacers.
Unreacted Ni was etched in a mixture of H2SO4+H2O2. Crystallization anneal conditions
for wafer A and control wafers B and C are shown in Table 5.1. A schematic cross section
of a capacitor on wafer A is shown in Fig. 5.1. Capacitor structures for wafers B and C
were similar but they did not have any Ni. Capacitors of size 100µm×100µm were used
for all electrical measurements except for Zerbst plots.
5.3 Results and Discussion
5.3.1 SIMS and Spreading Resistance Analysis
Since Ni is a midband trap in Si, any Ni going through the gate oxide into the channel
region will degrade the performance of devices. Therefore, it is important to find out the
amount of Ni in the gate electrode and in the channel. Secondary ion mass spectroscopy
(SIMS) was performed on wafers A, B and C to obtain the concentrations of Ni and P. From
5.3 : Results and Discussion 59
Table 5.1: Annealing conditions for crystallization of the gateα-Si onexperimental and control wafers. Wafers B and C do nothave any silicide.
Crystallization AnnealWafer Ni Temperature Time Ambient
(C) (hours)A Yes 500 24 N2+H2
800 2 N2
B No FOLLOWED BY500 24 N2+H2
C No 500 24 N2+H2
Fig. 5.2(a), the concentration of Ni is in excess of 1021/cm3 in the gate electrode for wafer
A near the top and bottom surfaces of the poly-Si. This high concentration of Ni at the
interface of poly-Si and oxide comes from the NiSi2 front moving inα-Si during MIC [33]
and stopping upon reaching the gate oxide. The SIMS analysis was again performed on
wafer A after removing the poly-Si gate electrode and the gate oxide. The SIMS profile
in Fig. 5.2(b) shows only a very small amount of Ni in the substrate which is not different
from the background level for Ni during SIMS measurements. The profile in Fig. 5.2(b)
resulted from the surface Ni which got redeposited from the etching chemicals. In order
to obtain a more reliable result, one of the samples was polished from the backside and
thinned down to 2 micron. Then a Ni profile was obtained with SIMS starting from the
back surface. No distinguishable Ni signal was found.
From the SIMS profile in Fig. 5.2(a), the concentration of P in the gate electrode is
approximately 1021/cm3 for all wafers. In order to find out the active dopant concentration,
resistivity profiles for wafers A, B and C were obtained by spreading resistance measure-
ments. The resistivity as a function of depth in the gate electrodes is plotted in Fig. 5.3. It
60 Chapter 5 : MIC for Gate Electrodes and MOS Capacitor Reliability
Amorphous Silicon GateSiO Spacer2(n−type)
Thermal SiO 2
Ni
Crystallization Anneal
Gate Electrode Crystallized
10 nm
c−Si Substrate(n−type)
using Nickel MIC
and Ni Wet Etch
500 C 24 hour
Figure 5.1: Schematic cross section of MIC capacitor.
can be seen that the dopant on wafer C did not get activated with a 500C 24 hour anneal in
the absence of Ni. Therefore, it was excluded from further electrical measurements. On the
other hand, the active dopant concentration obtained from spreading resistance on wafers
A and B is approximately 1020/cm3 (10%) and 5× 1019/cm3 (5%), respectively.
5.3 : Results and Discussion 61
1018
1019
1020
1021
1022
0 20 40 60 80 100 120 140
Con
cent
ratio
n (a
tom
s/cm
3 )
Depth In Poly-Si Gate Electrode (nm)
Ni profile: Wafer A (Ni)
P profile: Wafer A (Ni)
P profile: Wafer B (no Ni, 800°C)
P profile: Wafer C (no Ni, 500°C)
Poly-Si/SiO2 Interface →
(a)
1016
1017
1018
0 5 10 15 20 25 30 35 40
Con
cent
ratio
n (a
tom
s/cm
3 )
Depth In Substrate (nm)
Ni profile in substrate: Wafer A (Ni)
← SiO2/Si Interface
(b)
Figure 5.2: SIMS profiles: (a) Ni and P in the gate stack; and (b) Ni inthe substrate.
62 Chapter 5 : MIC for Gate Electrodes and MOS Capacitor Reliability
10-4
10-3
10-2
10-1
100
101
102
103
104
0 20 40 60 80 100 120 140
Res
istiv
ity (
Ω-c
m)
Depth In Poly-Si Gate Electrode (nm)
Wafer A (Ni)Wafer B (no Ni, 800°C)Wafer C (no Ni, 500°C)
Poly-Si/SiO2 Interface →
Figure 5.3: Spreading resistance profiles in the gate stack.
5.3.2 TEM Studies
The cross section transmission electron micrographs of the gate stack for wafers A and B
are shown in Fig. 5.4(a) and 5.4(b), respectively. It can be seen that wafer B has colum-
nar grains in the poly-Si with a grain size close to 0.15µm. The grains on wafer A are
somewhat smaller and are not columnar. They appear to be split in different layers. Energy
dispersive spectroscopy (EDS) analysis on the wafer A poly-Si cross section showed about
30 atomic % Ni near the top of the film and also at the interface of the poly-Si and gate
oxide which suggests NiSi2 at these locations. The top NiSi2 is formed after a 400C sili-
cidation anneal and the interface NiSi2 is a result of MIC. Unlike SIMS, the EDS analysis
did not show any Ni in the middle of the poly-Si film or in the substrate.
The discrepancy between the SIMS results and EDS observations can be explained as
5.3 : Results and Discussion 63
follows. EDS is a local measurement and is helpful in finding out the Ni concentration
in small areas, for example, near the interface of the poly-Si and the gate oxide. The
measurement obtained with EDS has an accuracy of about 1 atomic % which is worse than
that of SIMS. During the SIMS analysis which starts from the top surface of the poly-Si,
the Ni present at the top surface gets pushed inside due to collisions with the incident ion
beam. This results in a higher than actual value at the center of the poly-Si film. In other
words, the Ni profile obtained with SIMS is smeared out.
5.3.3 C-V Measurements
C-V plots for 100µm×100µm size capacitors on wafers A and B were obtained at low
frequency (quasi-static) with a ramp rate of 0.05 V/s and also at a high frequency (10 kHz).
The results are shown in Fig. 5.5(a) and 5.5(b), respectively. Each of the plots represents an
average of measurements performed on 10 identical capacitors. Devices on wafer A show
a positive VFB shift of about 0.1 V which indicates 0.1 eV increase in the gate electrode
workfunction. The VFB shift is not from fixed charge. The fixed charge is positive and
would have caused a negative flat band shift. In our Ni samples, the shift is in the positive
direction. So we are left with the gate electrode workfunction as the cause of flat band
shift. The positive shift of 0.1 V in the VFB is due to a 0.1 eV increase in the gate elec-
trode workfunction. This indicates that theφms and the barrier height for electrons (φb) are
higher by 0.1 eV for the MIC devices. The slope of the C-V curve in the transition region
between accumulation and inversion is lower for wafer A. This degradation of slope is due
to interface traps which are close to 5× 1011/cm2-eV. These traps are probably due to the
lack of a high temperature (800C) anneal.
The change of gate workfunction may be useful for modern short channel devices with
undoped channels which rely on the gate workfunction for adjustment of threshold voltage.
64 Chapter 5 : MIC for Gate Electrodes and MOS Capacitor Reliability
(a)
(b)
Figure 5.4: Cross section TEM of the gate stack: (a) wafer A; and (b)wafer B.
This change is caused by the presence of about 30 atomic % Ni at the gate electrode-oxide
interface.
5.3 : Results and Discussion 65
0
5
10
15
20
25
30
35
40
-3 -2 -1 0 1 2 3
Low
Fre
quen
cy C
apac
itanc
e (p
F)
VG (V)
100 µm X 100 µm, Tox=10 nm
Wafer A (Ni)
Wafer B (no Ni)
(a)
0
5
10
15
20
25
30
35
40
-3 -2 -1 0 1 2 3
Hig
h F
requ
ency
Cap
acita
nce
(pF
)
VG (V)
100 µm X 100 µm, Tox=10 nm
Wafer A (Ni)
Wafer B (no Ni)
(b)
Figure 5.5: C-V plot overlay: (a) low frequency; and (b) highfrequency.
66 Chapter 5 : MIC for Gate Electrodes and MOS Capacitor Reliability
5.3.4 I-V Measurements
I-V characteristics for these capacitors were measured in accumulation as well as in in-
version. Since there are no source/drain regions to obtain inversion charge, it takes a very
long time for it to be generated. In order to get carriers for inversion, illumination with
visible light was used during the measurements. Capacitor I-V characteristics in inversion
and accumulation are shown in Fig. 5.6(a) and 5.6(b), respectively. Each plot is an average
of measurements on 30 identical capacitors.
The positive shifts in I-V plots for wafer A are about 0.1 V and 0.2 V for inversion and
accumulation, respectively and also indicate a change in the flat band voltage. The shift in
accumulation is due to the lower electric field in the oxide of wafer A for a given positive
VG, since its VFB is higher by 0.1 V than wafer B. The positive shift in inversion is explained
as follows. Since theφms for Ni devices is higher by about 0.1 eV, for the same negative
VG applied, it will have a higher|VG−VFB| which means higher band bending. However,
since the band bending in the substrate is fixed due to inversion, rest of the voltage will
be dropped across the oxide. This means that for a given negative VG, the wafer with Ni
will have a higher electric field in the oxide. Since the difference between theφb of Ni
and non-Ni devices is only 0.1 eV, current will be decided by the electric field. Therefore,
higher current will be obtained in the Ni device with the same negative VG applied. In other
words, we need to apply a lower VG to obtain the same current.
5.3 : Results and Discussion 67
10-14
10-13
10-12
10-11
10-10
10-9
10-8
10-7
10-6
10-5
-10 -8 -6 -4 -2 0
I G (
A)
VG (V)
100 µm X 100 µm, Tox=10 nm
Wafer A (Ni)
Wafer B(no Ni)
(a)
10-14
10-13
10-12
10-11
10-10
10-9
10-8
10-7
10-6
10-5
0 2 4 6 8 10
I G (
A)
VG (V)
100 µm X 100 µm, Tox=10 nm
Wafer A (Ni)
Wafer B (no Ni)
(b)
Figure 5.6: I-V characteristics for capacitors: (a) inversion; and (b)accumulation.
68 Chapter 5 : MIC for Gate Electrodes and MOS Capacitor Reliability
5.3.5 Oxide Reliability with QBD Measurements
QBD was measured under a constant current density of 100 mA/cm2 for substrate (VG+)
and gate (VG−) injection of electrons. Fig. 5.7 shows the cumulative failure plots of QBD.
Wafer A shows a lower QBD for gate injection than wafer B. This can be explained using the
Fowler-Nordheim tunneling model and schematic band diagrams in Fig. 5.8.φbA and EA
are the barrier height and the oxide electric field on wafer A, respectively. They are defined
on wafer B in a similar fashion. The C-V measurements described earlier show that Ni
causes an increase of approximately 0.1 eV in the gate electrode workfunction. Therefore,
the φb for electrons on wafer A increases by 0.1 eV. Under the same current injection in
Fowler-Nordheim tunneling regime, device on wafer A, with higherφb for electrons will
experience higher oxide electric field and consequently lower QBD of gate oxide. Yanget
al. [69] have shown that during gate injection of electrons, the devices with p+ gates show
much lower QBD than those with n+ gates owing to the higherφb of p+ poly-Si. Our results
are in agreement with those of Yanget al.
In the case of substrate injection, the substrate and hence theφb for electrons is the
same. So the higher QBD for wafer A can be attributed to the change in material properties
due to a large amount of Ni (close to 30 atomic %) at the gate electrode-oxide interface.
5.3.6 Zerbst Plots
High frequency (10 kHz) capacitance versus time measurements were performed in order
to estimate the minority carrier generation lifetime and surface generation velocity. In
order to get better measurement accuracy, larger capacitors of size 300µm×300µm were
used. The capacitors were rapidly switched from accumulation (VG = +3 V) to deep
depletion (VG = −3 V). It takes a finite time for inversion layer charge to develop since the
source/drain regions are absent. By measuring the capacitance as a function of time, one
5.3 : Results and Discussion 69
0
10
20
30
40
50
60
70
80
90
100
1 10 100
Cum
ulat
ive
Fai
lure
(%
)
QBD (C/cm2)
J = 100 mA/cm2
100 µm X 100 µm
Wafer A (Ni) - VG+Wafer B - VG+Wafer A (Ni) - VG-Wafer B - VG-
Tox=10 nm
Figure 5.7: QBD for gate and substrate injection of electrons.
can obtain the following relation between the capacitance, generation lifetime,τg,eff and
surface generation velocity,Seff [70].
− d
dt
(Cox
C(t)
)2
=2ni
τg,effND
Cox
Cf
(Cf
C(t)− 1
)+
εSiO2
εSi
2niSeff
toxND
= a
(Cf
C(t)− 1
)+ b (5.1)
τg,eff =2ni
aND
Cox
Cf(5.2)
Seff =εSi
εSiO2
toxNDb
2ni
(5.3)
Cox andCf are the oxide capacitance and capacitance at infinite time (after inversion layer
70 Chapter 5 : MIC for Gate Electrodes and MOS Capacitor Reliability
With NiNo Ni
Gate GateSubSub
<B EA
EB EA
E
0.1 eV
φ bB φ bA
Figure 5.8: Schematic band diagrams for wafer A (with Ni) and B (noNi).
formation), respectively.tox is the gate oxide thickness andND is the doping in the sub-
strate. In our large capacitors,Cox ≈ 310 pF andCf ≈ 9 pF. Fig. 5.9 shows the Zerbst plots
of d/dt(Cox/C(t))2 as a function of(Cf/C(t)− 1) for wafers A and B. The data points
are plotted along with a linear approximation using the least squares fit. From the slope,a
and y-intercept,b, of the fitted line in the Zerbst plot, the generation times were estimated.
They were found to be 5 ms and 1 ms for wafer A and B, respectively. The devices in wafer
A showed a significantly higher value of the surface generation velocity (0.57 cm/s) com-
pared to that on wafer B (0.06 cm/s). The difference between the generation lifetimes on
5.4 : Summary 71
0
0.5
1
1.5
2
2.5
3
3.5
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8
d/dt
(Cox
/C(t
))2
Cf/C(t)-1
300 µm X 300 µm
Wafer A (Ni)
Wafer B (no Ni)
Figure 5.9: Zerbst plots for wafers A and B.
wafers A and B is a result of wafer to wafer variation. The generation lifetime of the order
of a millisecond in bulk silicon indicates that it is not degraded during MIC. The increased
surface generation velocity on wafer A may be due to interface traps resulting from the lack
of an 800C anneal. Though the MIC samples as well as control samples were annealed in
forming gas at 500C for 24 hours, it seems that the interface traps were not annealed out
in the MIC samples.
5.4 Summary
We have fabricated capacitors using Ni MIC for dopant activation in the gate electrode and
studied their reliability using materials analysis as well as electrical measurements. With a
500C - 24 hour MIC, approximately 10% of the phosphorus is activated which is higher
72 Chapter 5 : MIC for Gate Electrodes and MOS Capacitor Reliability
than that for a pure thermal anneal of 800C for 2 hours.
In the MIC process, there is a NiSi2 front between c-Si andα-Si and it will be present
wherever MIC ends. From the EDS observations, the Ni concentration at the top and
bottom surfaces of the MIC gate electrode was close to 30 atomic % indicating the presence
of NiSi2 at both surfaces. This high concentration of Ni at the gate electrode-oxide interface
is responsible for the changes in electrical properties of the capacitors. Since this method
enables us to obtain a high concentration of Ni near the gate/oxide interface, the problem
of conventional poly-Si gate depletion may be alleviated if this Ni makes the gate electrode
more metallic. While the concentration of Ni is high in the gate, it is not detectable with
SIMS in the substrate.
One of the most important effects is the increase of about 0.1 eV in the gate electrode
workfunction which was confirmed through C-V, I-V and QBD measurements. It may be
useful in modern device applications where adjustment of gate workfunction is needed.
Increase in theφb for electrons and reduction in the gate injection QBD result from the
0.1 eV increase in gate electrode workfunction. The presence of 30 atomic % Ni at the gate
electrode-oxide interface increased substrate injection QBD.
The degradation of the C-V curve slope and increase in the surface generation velocity
are due to interface traps which probably result from the lack of a high temperature anneal
for the MIC wafer. Ni MIC in the gate electrode does not degrade the overall capacitor
reliability.
Chapter 6
High Performance Submicron CMOS
with Metal Induced Lateral
Crystallization of Amorphous Silicon
6.1 Introduction
Thin Film Transistors (TFTs) fabricated on laterally crystallized amorphous silicon films
have been reported in the past few years. Forα-Si films on transparent substrates, pat-
terned light absorption masks [71] make use of light to raise the temperature of silicon film
in lithographically defined areas. Nucleation occurs preferentially at these sites and during
subsequent furnace annealing these nuclei grow before significant homogeneous nucleation
can occur in other parts of the film. As a result, larger grains are obtained in poly-Si films.
Similar results have been demonstrated by depositing germanium on small areas over a
silicon film [72] and annealing the samples at a low temperature (500C). Transistors with
MILC using nickel were first reported by Leeet al. [28]. Subsequently, Kimet al. [73] and
73
74 Chapter 6 : High Performance Submicron CMOS with MILC
Bhatet al. [74] also demonstrated MILC for TFT fabrication. When Ni is used for MILC,
the mechanism of crystallization has been shown to be silicide-mediated [51]. Other metals
like Pd [53] and Co [35] have also been used for thin film transistor fabrication with MIC.
In most of the work reported so far, long channel TFTs aimed at display applications were
described. However, such devices may not be suitable for 3-D integrated circuit applica-
tions where multiple levels of high quality transistors may be built on top of interconnect
layers.
In this chapter, details of 0.1µm CMOS transistors fabricated using the Ni-MILC pro-
cess are presented. This work is aimed at fabrication of transistors at low temperature for
3-D integrated circuits [2]. In such applications it is critical to maintain low processing
temperatures in order to ensure that already fabricated devices, dielectrics and metal inter-
connects perform as desired. This means that all fabrication processes must be completed
at or below 500C and may be even lower temperatures depending on the materials used
for dielectrics and interconnects.
6.2 CMOS Transistor Fabrication
For transistor fabrication, thermally oxidized Si wafers were used as substrates. 0.1µm
thick undopedα-Si was deposited using silane LPCVD at 500C and 1 torr and patterned
into active area islands. A typical channel island is depicted in Fig. 6.1. The shaded region
in the figure shows the area which will be covered by the gate electrode. Since the channel
is present on the top surface as well as the sidewalls of island,Weff = Wdrawn+ 0.2µm.
Fig. 6.2 shows a schematic cross section of a transistor structure illustrating the MILC
process. In order to reduce DIBL, the channel region of the PMOS devices was ion implant
doped with phosphorus to about 2.5× 1017/cm3 and that of NMOS with boron to about
2 × 1017/cm3. The gate oxide was 12 nm thick SiO2 deposited by LPCVD at 450C.
6.2 : CMOS Transistor Fabrication 75
Drain
Overlapped by Gate Electrode
L
H
Source W
Area of Channel Island
drawn
Figure 6.1: Schematic 3-D view of transistor channel island before gateelectrode deposition and patterning.
150 nm thick,in-situ boron doped LPCVD poly-Si0.6Ge0.4 was used as the gate electrode.
The poly-SiGe gate had a sheet resistance of 1 kΩ/. The source/drain regions were
separated from the gate by 0.05µm using SiO2 spacers. The source and drain regions were
implanted with 15 keV boron for the PMOS devices and 35 keV phosphorus for the NMOS
devices to give an implanted dopant concentration of 3× 1020/cm3. An LDD-implant was
not used in order to reduce device complexity. The heavy dopant implant for source/drain
had enough lateral straggle [75] to dope the region under the spacers so that there is some
overlap between the source/drain regions and the gate. Electron beam lithography was used
for patterning the submicron features for active islands and gate electrodes. Devices were
fabricated with drawn widths of 0.1µm and 0.4µm in order to see the effect of width on
transistor performance. After an SiO2 passivation layer was deposited at 400C, seeding
holes of size 1µm×1 µm were opened either on the source or the drain and about 25 nm
thick layer of Ni was sputter deposited. The wafers were annealed at 400C for 4 hours to
form nickel silicide in the seeding holes. Unreacted Ni was etched in H2SO4+H2O2. The
wafers were then annealed in N2 at 500C for 24 hours or 450C 144 hours to enable Ni-
MILC starting from the seeding holes into the channel and source/drain regions. Dopants
76 Chapter 6 : High Performance Submicron CMOS with MILC
α−Silicon Crystallized with Nickel
SiO Spacer
SiO Passivation Layer
2
2
−Silicon Filmα
Gate Oxide
Contact / SeedingHole
Poly−SiGe Gate
Thermal SiO 2
c−Si Substrate
Figure 6.2: Schematic cross section of transistor showing MILCprocess.
in these region were also activated during this MILC step. After crystallization, contact
holes were opened on the source/drain and poly-SiGe gate electrode. The seeding holes
also served as contact holes. Al was used for interconnects and contact pads. Finally, the
devices were annealed in forming gas at 400C for 1 hour.
6.3 Results and Discussion
6.3.1 Performance of CMOS with MILC at 500 C
Fig. 6.3(a) and 6.3(b) illustrate ID-VG curves for NMOS and PMOS transistors, respec-
tively. These transistors were fabricated with MILC at 500C. The subthreshold slope,
S, ION and IOFF were calculated from these ID-VG plots at|VD| = 2 V and the threshold
voltage, VTH, is defined as gate voltage which gives 10 nA×WeffL
for |VD| = 2 V. The IOFF is
defined as the lowest current obtained with|VD| = 2 V. ID-VD characteristics of the same
6.3 : Results and Discussion 77
transistors are shown in Fig. 6.4(a) and 6.4(b). It can be seen that the NMOS and PMOS on
currents are approximately 150µA/µm and 100µA/µm, respectively. The extracted device
parameters are summarized in Table 6.1. The mobility values have been calculated from
ID-VG plots with a|VD| of 0.05 V. The mobility values are listed Table 6.1. The mobility for
the 500C devices is somewhat lower as compared to other observations for MILC CMOS
devices [28, 54]. Part of this mobility degradation is due to the series resistance of the re-
gions under the spacers. Another reason for the degradation is the use of a deposited gate
oxide which does not have a good interface with the channel. Since these CMOS transistors
fabricated in recrystallized Si are for 3-D integrated circuits, their performance should be
compared to that of bulk-Si CMOS. Ghaniet al.[76] demonstrated CMOS with a 100 nm
effective gate length and a 3 nm gate oxide. With a VDD of 1.2 V, they obtained 760µA/µm
and 310µA/µm for NMOS and PMOS, respectively. By reducing the gate oxide thickness
in our CMOS to 3 nm, an increase in the drive current by factor of 4 is expected. However,
a reduction in VDD from 2 V to 1.2 V will decrease ID by about a factor of 2. So with 3 nm
gate oxide and VDD of 1.2 V, we can expect to get a drive current close to 300µA/µm and
200µA/µm from our NMOS and PMOS, respectively.
P-type SiGe would normally cause low VTH for PMOS and high VTH for NMOS. The
observed values of VTH are high for PMOS and low for NMOS. This difference can be
caused by fixed oxide charge or interface trapped charge since we used an LPCVD gate
oxide on an imperfect Si crystal. The subthreshold slope of 100 mV/dec is one of the best
for MIC devices but still far from ideal because of defects and traps in the recrystallized Si
and a somewhat thick gate oxide. In order to improve the subthreshold slope and DIBL,
the channel Si film can be made thinner to make the device fully depleted and less prone
to short channel effects. Also, the interface between the gate oxide and channel can be
improved by using a better gate oxide. Series resistance can be reduced by having good
silicided contacts.
78 Chapter 6 : High Performance Submicron CMOS with MILC
Table 6.1: Performance of submicron MILC transistors.
Device 500C PMOS 500C NMOS 450C PMOS 450C NMOSVTH (V) −0.25 0.12 −2.41 −0.12S (mV/dec) −200 100 −343 291IOFF (pA/µm) −19.2 3.4 −790 4000ION (µA/µm) −103 150 −40 (VG = −5 V) 145ION/IOFF 5.3× 106 4.7× 107 5× 104 4× 104
µ (cm2/V-s) 42 67 7 38
6.3.2 Performance of CMOS with MILC at 450 C
Fig. 6.5(a) and 6.5(b) show the ID-VG characteristics for the NMOS and PMOS transistors
with MILC at 450C. S, ION, IOFF and VTH for these transistors have been extracted by the
same method which was used for 500C devices and are summarized in Table 6.1. For the
PMOS, ION was obtained at VG = −5 V. The reason for the crossover (lack of DIBL) in the
450 C PMOS is not clear. It probably results from a high concentration of defects or Ni
in the channel. For the PMOS, the extracted mobility is quite poor. It indicates that there
is a lot of scattering in the channel or that the crystallization in the channel is not good.
Fig. 6.6(a) and 6.6(b) show ID-VD curves for the same devices. The 450C crystallized
devices show good on currents but worse leakage and subthreshold slope than the 500C
crystallized devices, probably owing to worse crystal quality. In these transistors, only the
α-Si channel and SiGe gate electrode deposition were performed at 500C. All other steps
in the fabrication were at or below 450C. By changing the deposition chemistry to Si2H6,
the α-Si deposition can be done at or below 450C to obtain good quality amorphous
silicon film [77]. As mentioned earlier in this chapter, dopant activation with MIC can be
easily achieved at 450C and used for dopant activation in the gate electrode. In Chapter 5,
6.3 : Results and Discussion 79
10-13
10-12
10-11
10-10
10-9
10-8
10-7
10-6
10-5
10-4
10-3
-2 -1.5 -1 -0.5 0 0.5 1 1.5 2
I D (
A/µ
m)
VG (V)
Weff=0.3 µmLgate=0.1 µm
VD=2 V
VD=0.05 V
(a)
10-13
10-12
10-11
10-10
10-9
10-8
10-7
10-6
10-5
10-4
10-3
-2 -1.5 -1 -0.5 0 0.5 1 1.5 2
-ID
(A
/µm
)
VG (V)
Weff=0.3 µmLgate=0.1 µm
VD=-2 V
VD=-0.05 V
(b)
Figure 6.3: ID vs. VG for 500C crystallized devices: (a) NMOS; and(b) PMOS.
80 Chapter 6 : High Performance Submicron CMOS with MILC
0
20
40
60
80
100
120
140
160
180
0 0.5 1 1.5 2
I D (
µA/µ
m)
VD (V)
Weff=0.3 µmLgate=0.1 µm VG=2 V
VG=1.5 V
VG=1 V
VG=0.5 V
(a)
0
10
20
30
40
50
60
70
80
-2 -1.5 -1 -0.5 0
-ID
(µA
/µm
)
VD (V)
Weff=0.3 µmLgate=0.1 µmVG=-2 V
VG=-1.5 V
VG=-1 V
(b)
Figure 6.4: ID vs. VD for 500C crystallized devices: (a) NMOS; and(b) PMOS.
6.3 : Results and Discussion 81
we reported a comparison of Ni-MIC at 500C and pure thermal activation of dopants at
800 C for use in gate electrode where we showed that Ni-MIC can be used for dopant
activation in the gate without causing serious reliability concerns.
6.3.3 Effect of Device Width
Fig. 6.7 shows cumulative plots of IOFF and ION for 500 C MILC transistors of effective
widths 0.3µm and 0.6µm (Wdrawn of 0.1µm and 0.4µm, respectively). It can be observed
that for both the NMOS and PMOS devices, the mean value of IOFF increases by several
orders of magnitude when going from 0.3µm to 0.6µm but the ION does not show sig-
nificant change. The IOFF scales neither withWeff nor with Wdrawn. It is quite likely that
such a drastic increase in IOFF is due to inclusion of a longitudinal grain boundary in the
channel [78] forWdrawn of 0.4µm. As illustrated in Fig. 4.6, the 0.4µm wide devices are
much more likely to have a grain boundary in the channel than 0.1µm wide devices. The
ION in our devices does not change with width because the grain boundaries are likely to be
more or less longitudinal and do not present a barrier to current flow. Therefore, in order to
improve transistor performance, it should be fitted in single grain of recrystallized Si. One
approach is to use high temperature grain growth [55] where the grain size was increased
to accommodate a transistor. Our approach is shrinking a transistor to submicron size so
that it fits in an elongated grain of Si which is obtained through processes like MILC at
temperatures of about 500C. In this chapter, we have demonstrated CMOS transistors
using the latter. The advantage of our method is that it can be completed with a maximum
process temperature of 500C. Therefore, it may be more suitable for 3-D integrated circuit
applications than the high temperature grain enhancement method [55].
82 Chapter 6 : High Performance Submicron CMOS with MILC
10-13
10-12
10-11
10-10
10-9
10-8
10-7
10-6
10-5
10-4
10-3
-2 -1.5 -1 -0.5 0 0.5 1 1.5 2
I D (
A/µ
m)
VG (V)
Weff=0.3 µmLgate=0.08 µm
VD=2 V
VD=0.05 V
(a)
10-13
10-12
10-11
10-10
10-9
10-8
10-7
10-6
10-5
10-4
10-3
-5 -4 -3 -2 -1 0 1 2
-ID
(A
/µm
)
VG (V)
Weff=0.3 µmLgate=0.1 µm
VD=-2 V
VD=-0.05 V
(b)
Figure 6.5: ID vs. VG for 450C crystallized devices: (a) NMOS; and(b) PMOS.
6.3 : Results and Discussion 83
0
20
40
60
80
100
120
140
160
0 0.5 1 1.5 2
I D (
µA/µ
m)
VD (V)
Weff=0.3 µmLgate=0.08 µm
VG=2 V
VG=1.5 V
VG=1 V
VG=0.5 V
(a)
0
5
10
15
20
25
30
35
40
-2 -1.5 -1 -0.5 0
-ID
(µA
/µm
)
VD (V)
Weff=0.3 µmLgate=0.1 µm
VG=-4.5 V
VG=-5 V
VG=-4 V
VG=-3.5 V
VG=-3 V
(b)
Figure 6.6: ID vs. VD for 450C crystallized devices: (a) NMOS; and(b) PMOS.
84 Chapter 6 : High Performance Submicron CMOS with MILC
0
10
20
30
40
50
60
70
80
90
100
10-6 10-5 10-4 10-3 10-2 10-1 100 101 102 103
Cum
ulat
ive
Per
cent
age
NMOS ID (µA/µm)
IOFF ION
Lgate=0.1 µmWeff
0.3 µm0.6 µm
(a)
0
10
20
30
40
50
60
70
80
90
100
10-6 10-5 10-4 10-3 10-2 10-1 100 101 102 103
Cum
ulat
ive
Per
cent
age
PMOS ID (µA/µm)
IOFF ION
Lgate=0.1 µmWeff
0.3 µm0.6 µm
(b)
Figure 6.7: ION and IOFF as a function of device width for 500Ccrystallized devices: (a) NMOS; and (b) PMOS.
6.4 : Summary 85
6.4 Summary
The processes of crystallization and dopant activation with MIC were combined to obtain
a high performance CMOS devices using a peak process temperature of 500C. It is im-
portant to avoid grain boundaries in the channel in order to improve device performance
and it made possible because MILC yields single crystal in 140 nm or narrower lines of
α-Si. This process also activates dopants in the source/drain and channel regions at a low
temperature.
0.1µm high performance CMOS transistors have been fabricated using the MILC pro-
cess. As shown with the TEM study, these transistors are contained in a single grain of
silicon. NMOS and PMOS devices show on-currents of 150µA/µm and 100µA/µm,
respectively. Upon changing gate dielectric thicknesses to 3 nm and VDD to 1.2 V , the cur-
rents can be estimated to increase to 300µA/µm and 200µA/µm for NMOS and PMOS,
respectively. Other improvements in fabrication and device structure like thin body and
silicidation should further improve the device performance in terms of short channel ef-
fects and subthreshold slope, making them more suitable for 3-D integrated circuits where
high quality CMOS devices in recrystallized Si are needed with a constraint of a 500C
peak process temperature.
Severe degradation of IOFF was observed from cumulative plots upon increasingWdrawn
from 0.1µm to 0.4µm which is very likely caused by inclusion of a grain boundary in the
channel. So in order to get high performance, it is crucial to keepWdrawn low. If higher
current is desired, several narrow transistors should be combined in parallel instead of a
single wide transistor.
Chapter 7
Conclusions
In this thesis, issues pertaining to CMOS fabrication using MILC were discussed. The
important contributions from this work are listed below.
7.1 Contributions
7.1.1 A Model for MILC
• The rate of crystal growth is shown to be related to the rate of NiSi2 thinning.
• Crystal growth during MILC is explained using a two-regime model. The first regime
is diffusion limited where the diffusion flux of Ni atoms through thin NiSi2 is smaller
than the surface reaction flux. The second regime is surface reaction limited where
the diffusion flux of Ni atoms exceeds the surface reaction flux.
• The model brings out the competition between MIC and SPC through use of a time-
varying surface reaction rate constant.
86
7.1 : Contributions 87
7.1.2 Metal Induced Crystallization and Dopant Activation
• Dopant activation with Ni at 500C was shown to be comparable to that without Ni
at 800C.
• It was shown that MILC gives poly-Si films when wide areas are crystallized but
causes single crystals in narrow lines of width 140 nm.
7.1.3 MIC Dopant Activation and MOS Capacitor Reliability
• It was shown that close to 30 atomic % Ni resides at the interface between the gate
electrode and oxide when MILC is used in the gate electrode. This indicates the
presence of NiSi2 and also causes changes in the electrical properties.
• Through C-V, I-V and QBD measurements it has been demonstrated that the gate
electrode workfunction increases by about 0.1 eV.
• The presence of interface traps in MIC devices is indicated by a degradation in the
slope of C-V curves and an increase in the surface generation velocity of minority
carriers in the substrate.
7.1.4 High Performance CMOS with MILC
• Dopant activation and single crystal formation due to MILC were utilized to demon-
strate fabrication of high performance CMOS devices with a peak fabrication tem-
perature of 500C.
• It was shown that narrow transistors have much lower leakage current than wider
transistors. This shows that in order to obtain higher effective width, several transis-
tors need to be combined in parallel.
88 Chapter 7 : Conclusions
7.2 Recommendations for Future Work
Though this thesis covered fabrication of high performance CMOS with low processing
temperatures, a lot of work needs to be done in order to bring device performance close to
that of bulk-Si devices. For a channel length of 100 nm, the gate oxide used in this work
is quite thick. It needs to be reduced to the dimensions used by current CMOS technol-
ogy. Also, in order to reduce the gate leakage, high-κ materials will be needed. One of the
biggest challenges is lowering the peak process temperature to 450C or less. We demon-
strated a possibility of 450C fabrication but device yields were quite low and performance
was somewhat poor. Methods to make MILC faster must be explored in order to reduce
process times. It has been observed by several researchers that Ni moves towardsα-Si dur-
ing MIC. This property can find possible use in novel thin body double-gate devices. The
Ni remaining at the initial and final points can serve as contacts.
Another interesting extension of this thesis would be to explore the change of work-
function due to Ni MIC. It could be useful in setting gate workfunctions of future short
channel devices. In this work only n-type Si was used for the gate electrode. It would be
interesting to see the results for p-type Si. Also, it would be interesting to see if the amount
of workfunction change depends on process temperature and thickness of the initial Ni
layer. It also needs to be seen if the high concentration of Ni helps in reducing gate deple-
tion. This is important for short channel devices where poly-Si gate depletion contributes
significantly to the effective gate dielectric thickness.
Our model for MILC can be extended to consider the condition when the initial supply
of Ni is not removed. With more data for growth rates at different temperatures, the pa-
rameters used in the model can be estimated with better accuracy. A study of the atomistic
level movements using Ni or Si isotopes may be helpful in understanding the mechanism
of the MILC process.
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