Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE...
Transcript of Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE...
![Page 1: Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE 3080/overheads... · 2007-04-25 · Chapter 3 Overheads kT E EF e f E 1 ... after Pierret,](https://reader030.fdocuments.us/reader030/viewer/2022020100/5b723f577f8b9ae54f8c6e3b/html5/thumbnails/1.jpg)
1John D. Cressler
3A
after Pierret, Advanced Semiconductor Fundamentals, 1987
Chapter 3 Overheads
kTEE F
eEf )(
1
1)( −
+=
Fermi-Dirac Distribution Function
![Page 2: Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE 3080/overheads... · 2007-04-25 · Chapter 3 Overheads kT E EF e f E 1 ... after Pierret,](https://reader030.fdocuments.us/reader030/viewer/2022020100/5b723f577f8b9ae54f8c6e3b/html5/thumbnails/2.jpg)
2John D. Cressler
3B
after A. Doolittle
Chapter 3 Overheads
0.00
0.20
0.40
0.60
0.80
1.00
1.20
0 0.2 0.4 0.6 0.8 1 1.2
f(E)
E [eV]
3 kT3 kT3 kT3 kT
+/-3 kT
EF=0.55 eV
kTEE F
eEf )(
1
1)( −
+=
T=10 K, kT=0.00086 eV
T=300K, kT=0.0259 eV
T=450K, kT=0.039 eV
For E > (EF+3kT):
f(E) ~ e-(E-EF)/kT~ 0
For E < (EF-3kT):
f(E) ~ 1-e-(E-EF)/kT ~1
10K
450K300K
![Page 3: Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE 3080/overheads... · 2007-04-25 · Chapter 3 Overheads kT E EF e f E 1 ... after Pierret,](https://reader030.fdocuments.us/reader030/viewer/2022020100/5b723f577f8b9ae54f8c6e3b/html5/thumbnails/3.jpg)
3John D. Cressler
3C
after A. Doolittle
Chapter 3 Overheads
0
aπ
bπ
cπ
kx
ky
kz
Density of States
![Page 4: Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE 3080/overheads... · 2007-04-25 · Chapter 3 Overheads kT E EF e f E 1 ... after Pierret,](https://reader030.fdocuments.us/reader030/viewer/2022020100/5b723f577f8b9ae54f8c6e3b/html5/thumbnails/4.jpg)
4John D. Cressler
3D
after Pierret, Advanced Semiconductor Fundamentals, 1987
Chapter 3 Overheads
![Page 5: Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE 3080/overheads... · 2007-04-25 · Chapter 3 Overheads kT E EF e f E 1 ... after Pierret,](https://reader030.fdocuments.us/reader030/viewer/2022020100/5b723f577f8b9ae54f8c6e3b/html5/thumbnails/5.jpg)
5John D. Cressler
3E
after Pierret, Advanced Semiconductor Fundamentals, 1987
Chapter 3 Overheads
Doping:
intrinsic
n-type
p-type
![Page 6: Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE 3080/overheads... · 2007-04-25 · Chapter 3 Overheads kT E EF e f E 1 ... after Pierret,](https://reader030.fdocuments.us/reader030/viewer/2022020100/5b723f577f8b9ae54f8c6e3b/html5/thumbnails/6.jpg)
6John D. Cressler
3F
after Pierret, Advanced Semiconductor Fundamentals, 1987
Chapter 3 Overheads
Fermi-Dirac vs BoltzmannStatistics
![Page 7: Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE 3080/overheads... · 2007-04-25 · Chapter 3 Overheads kT E EF e f E 1 ... after Pierret,](https://reader030.fdocuments.us/reader030/viewer/2022020100/5b723f577f8b9ae54f8c6e3b/html5/thumbnails/7.jpg)
7John D. Cressler
3G Chapter 3 Overheads
Doping-Induced Bandgap Narrowing
![Page 8: Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE 3080/overheads... · 2007-04-25 · Chapter 3 Overheads kT E EF e f E 1 ... after Pierret,](https://reader030.fdocuments.us/reader030/viewer/2022020100/5b723f577f8b9ae54f8c6e3b/html5/thumbnails/8.jpg)
8John D. Cressler
3H
after A. Doolittle
Chapter 3 OverheadsEF
np
kTEEi
Fienp /)( −=
2innp =
kTEEi
iFenn /)( −=
kTEEv
FveNp /)( −= kTEEc
cFeNn /)( −=
)(22/1 vv FNp η
π= )(2
2/1 cc FNn ηπ
=
NA- ND
+
D
kTEEA
AA FAeg
NN /)(1 −−
+= kTEE
D
DD DFeg
NN /)(1 −+
+=
22
22 iDADA nNNNNp +
−+
−=
+−+−
22
22 iADAD nNNNNn +
−+
−=
−+−+
DNn ≅ANp ≅
NA ND
![Page 9: Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE 3080/overheads... · 2007-04-25 · Chapter 3 Overheads kT E EF e f E 1 ... after Pierret,](https://reader030.fdocuments.us/reader030/viewer/2022020100/5b723f577f8b9ae54f8c6e3b/html5/thumbnails/9.jpg)
9John D. Cressler
3I
after K. Brennan, Physics of Semiconductors, 1999
Chapter 3 Overheads
Lattice Vibrations
![Page 10: Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE 3080/overheads... · 2007-04-25 · Chapter 3 Overheads kT E EF e f E 1 ... after Pierret,](https://reader030.fdocuments.us/reader030/viewer/2022020100/5b723f577f8b9ae54f8c6e3b/html5/thumbnails/10.jpg)
10John D. Cressler
3J
after K. Brennan, Physics of Semiconductors, 1999
Chapter 3 Overheads
Phonon Band Structure for Si and Ge
![Page 11: Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE 3080/overheads... · 2007-04-25 · Chapter 3 Overheads kT E EF e f E 1 ... after Pierret,](https://reader030.fdocuments.us/reader030/viewer/2022020100/5b723f577f8b9ae54f8c6e3b/html5/thumbnails/11.jpg)
11John D. Cressler
3K
after Pierret, Advanced Semiconductor Fundamentals, 1987
Chapter 3 Overheads
Drift Transport Scattering
![Page 12: Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE 3080/overheads... · 2007-04-25 · Chapter 3 Overheads kT E EF e f E 1 ... after Pierret,](https://reader030.fdocuments.us/reader030/viewer/2022020100/5b723f577f8b9ae54f8c6e3b/html5/thumbnails/12.jpg)
12John D. Cressler
3L
after Pierret, Semiconductor Device Fundamentals, 1996
Chapter 3 Overheads
Mobility
![Page 13: Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE 3080/overheads... · 2007-04-25 · Chapter 3 Overheads kT E EF e f E 1 ... after Pierret,](https://reader030.fdocuments.us/reader030/viewer/2022020100/5b723f577f8b9ae54f8c6e3b/html5/thumbnails/13.jpg)
13John D. Cressler
3M
after Pierret, Advanced Semiconductor Fundamentals, 1987
Chapter 3 Overheads
Diffusion Transport
![Page 14: Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE 3080/overheads... · 2007-04-25 · Chapter 3 Overheads kT E EF e f E 1 ... after Pierret,](https://reader030.fdocuments.us/reader030/viewer/2022020100/5b723f577f8b9ae54f8c6e3b/html5/thumbnails/14.jpg)
14John D. Cressler
3N
after Pierret, Semiconductor Device Fundamentals, 1996
Chapter 3 Overheads
G/RProcesses
![Page 15: Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE 3080/overheads... · 2007-04-25 · Chapter 3 Overheads kT E EF e f E 1 ... after Pierret,](https://reader030.fdocuments.us/reader030/viewer/2022020100/5b723f577f8b9ae54f8c6e3b/html5/thumbnails/15.jpg)
15John D. Cressler
3O
after Pierret, Semiconductor Device Fundamentals, 1996
Chapter 3 Overheads
Traps
![Page 16: Chapter 3 overheads - Web Hosting Default Pageusers.ece.gatech.edu/cressler/courses/ECE 3080/overheads... · 2007-04-25 · Chapter 3 Overheads kT E EF e f E 1 ... after Pierret,](https://reader030.fdocuments.us/reader030/viewer/2022020100/5b723f577f8b9ae54f8c6e3b/html5/thumbnails/16.jpg)
16John D. Cressler
3P
after Pierret, Semiconductor Device Fundamentals, 1996
Chapter 3 Overheads
Direct vs Indirect Semiconductors