Zachary Fisk- Singular behaviour

2
on the atoms. In other words,the conduction electrons have a slight preference energeti- cally to have their spins oriented in the opposite direc tion to that of the magne tic moments localiz ed on th e atomic sites in th e lattice. As the temperatur e f alls below the value that characterizes this ordering prefer- ence, the loc al a tomic moments be come progressi ve ly sc reened an d the entro py asso- ciated with the local magnetic degeneracy dresse s’t he conduction ele ctrons, dram ati- cally increasing their effective masses and making them into ‘hea vy fermions’ . This reduction of atomic moments drives do wn the magnetic ordering te mperature, and as the local interaction between magnetic moment and conduction ele ctron becomes stronge r, the moment and the mag netic ordering temperature simultaneously drop to zero — this is the quantum critical point. Muc h of the interes t in quantum critic al physics stems from its relevance to th e physics of phenomena that invol ve correlated beha v- iour of ele ctrons — the prime exa mple here being heav y-fe rmion superconductivity , the resis tance-les s flow of current at ve ry low tempera tures . Dis covere d 3 in 1979, this parti cul ar varia nt of supe rc onduc tiv ity demanded a new understand ing ofth e nature of heav y-fe rmion mater ials ,as their m agnetic character had been thought to be hostile to the occ urrence of supe rconduc tivi ty . In the 199 0s, it became c lea r th at the sys tematic appea rance of supe rconduc tivi ty in some heavy-fermion materials happens in the vicinity of what has since been recognized as a quantum critical point 4 . Although this is not tru e for all heav y-fe rmion m aterials (includ- ing Y bRh 2 S i 2 , studie d by Custe rs et al . 2 ), the tantalizing link between superconductivity and quantum critical points has driven ef forts to understand both p henomena. Cl assi ca ll y , cri tic al phe nomena are narrowly confined to the region around a critic al point, but, in contrast, the infl uence of a quantum critical point spre ads through the phase diag ram, we ll a wa y f rom the point it sel f. The eff ects a re many and can be parametrized through properties that va ry with a pow er of temperature, suc h as ele ctrical resistivi ty, magnetic susceptibility and spe cif ic heat. In their e xpe riments, Custers et al . 2 have traced the variation of such properties as they tuned their heavy- fermion material, Y bRh 2 Si 2 , into a qua ntum critical point by applying magnetic fiel ds. In these e xpe riments, to probe the quan- tum critical point more deepl y , the authors doped’ their samples of Y bRh 2 Si 2 , repl ac ing some of the sil icon atoms w ith ge rmanium. Germanium atoms are slightly larger than silic on ones, and so increase the pressure in the atomic lattice and dr ive down th e strength of the magnetic fi eld at the c ritical point to almos t ze ro. Custe rs et al . have now provided the most comp lete s tud y s o far of the heavy - fe rmion quantum critica l point, combining news and views 5 0 4 NATURE | VOL 424 | 31 JUL Y 2003 | www.nature.com/nature expe riments are hard to do is only a temporar y ex cuse ; it does not scratc h the log ica l itch. Bergman and Siegal’s work makes it more plausible that capacitance effects will be found. Y et th ere are at least t hree reasons why their r esults are not yet suffic ient to convince a sce ptic t hat capacitance is real . Fi rst, in their s imula tions the authors looked only at gene express ion ( the ‘ tr anscrip- tome’), rather than at anything approac hing the comple xity of whole -organism pheno- type. S o t heir results le ave us un ce rtain about what might happen in betwee n. V ariation in gene ex pression might in fact lead to canaliza- tion at the whole -orga nism le v el , if appro- priately regulated transcriptome variation is part of the mechanism that canaliz es w hole- organis m traits. S econd, va riation rele ased in t he tran- scriptome could also produce changes in repr oducti on and mortali ty rates, whi ch determine the streng th of natural sel ection. If increase d genetic variation were acc ompa- nied by reduced variation in reproductive succ ess , or by reduction s in the c orrelation between variation in traits and variation in reproductiv e s ucc es s, the rate of ev olution woul d not n ec es saril y c hange . In fac t, if the eff ects w ere s tron g e nou gh, the rate of ev olu- tion might even decrease . Third, B ergman and S ieg al’ s analys is of ye ast data reve als an increase in p henot ypic, not ge netic, va riation when g enes are knock ed out at random. Y et capa citanc e requires that t he increa se d variation be, at le ast in part, ge netic. It has bee n ass erted 7,8 that increased phenotypic variation implies increased genetic variation in such circum- stanc es . B ut it might not. S o the exis tence and impor tance of evo- lution ary capacitance remain uncertain . B ut if canaliz ation do es turn ou t to be a pervasiv e property of ge netic netw orks — one that evolv es rapidly and serves as an evolutio nar y capa citor — a k ey fe ature of the ge no- type–phenotype connection will have been cl arifi ed. And that woul d stimulate further ques tions. One is how part of the organisms response to environmental change remains canalized while ot hers b ecome ‘ plastic’ , or fle xible . Also, how do the g enetic networks that m ight be produ cing c analization as a by - product interact with the mec hanisms that determine plas ticity (if they interac t at all )? Does evolutionary capacitance explain the periods of stas is a nd r apid chang e that are see n in experimental studies of evolution — or perhaps even in the fossil record? The answe rs to such questions m ay s eem beyond reach, but in fac t we can start r ight now with evolutionary experiments on the functional ge nom ics of microor ganisms. s Stephen C. Stearns is in the Department of Ec olo gy and Evolutionary Biology , Yale University,  New Haven, Connec ticut 06 520-8106, USA. e-mail: stephen.stearn s@ yale.edu 1. Wagner , A. Evolution 50, 1008–1023 (1996). 2. Wagne r,G., Booth,G.& B aghi eri-Chi achi an, H. A.  Evolution 51, 329–347 (1997). 3. Si eg al,M. L.& Be rgman,A. Pro c.N atl Acad.Sci. USA 99, 10528–10532 (2002). 4. Ruthe rford,R. L.& Li ndquis t, S.  Nature 396, 336–342 (1998). 5. Quiets ch,C., Sa ngs ter,T.A. & Li ndquis t, S.  Nature 417, 618–624 (2002). 6. Be rgman,A. & Si eg al,M. L.  Nature 424, 549–552 (2003). 7. Ste arns,S. C.,Kais er,M. & Kaweck i, T. J.  J. Evo l. Biol.8, 539–557 (1995). 8. Me ik le john,C. D.& Hartl , D.L. Trends Ec ol. Evol.17, 468–473 (2002). M ore than a c entury of probi ng the phy si cs of magneti sm has only served to heighten its interest for phys icists. Over t he past decade, a new foc us has evolved — th e behav iour of magnetic materials at a ‘ quant um critical point’ . Criti- cal points are perhaps more familiarly asso- ciated with phase transitions such as those between water , steam and ice. B ut at zero temperature there are qua ntum phase tran- sitions, fluctuations betwe en diffe rent states of a phase diag ram that are gov erned by Heisenberg s uncert ainty principle. In ce r- tain magnetic materia ls , the temperature at which the system takes on a magnetically ordered state ca n be tuned, either chemicall y or through some external influence, towa rds abso lute ze ro, the tr ansitio n point being a quantum critical point 1 . The ques - tion is, at a qua ntum critic al point, do we see something new that does not occur in classic al sy stems? On p age 5 24 of th is iss ue, Custers et al . 2 go some way towards an answe r, thr ough the closes t approach yet to a quantum critical point in a ‘heavy- fermion’material. Heav y-f ermion material s, a c las s of so-calle d correlated-electron materials, are metallic compounds with a chemically ordered lattic e of magnetic ions, in which conduction electrons interact antiferromag- netically with the local magnetic moments Condensed-matter physics Singular be hav iour Zachary Fisk Quantum fluctuations at absolute zero may push a system into a different phase or state. The ‘quantum critical point’ at which this happens in certain materials has now been probed in greater detail.  ©  2003 Nature PublishingGroup

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on the atoms.In other words,the conduction

electrons have a slight preference energeti-cally to have their spins oriented in theopposite direction to that of the magneticmoments localized on the atomic sites in thelattice. As the temperature falls below thevalue that characterizes this ordering prefer-ence, the local atomic moments becomeprogressively screened and the entropy asso-

ciated with the local magnetic degeneracy‘dresses’the conduction electrons, dramati-

cally increasing their effective masses andmaking them into ‘heavy fermions’. Thisreduction of atomic moments drives downthe magnetic ordering temperature, and asthe local interaction between magneticmoment and conduction electron becomesstronger, the moment and the magneticordering temperature simultaneously dropto zero — this is the quantum critical point.

Much of the interest in quantum critical

physics stems from its relevance to the physicsof phenomena that involve correlated behav-iour of electrons — the prime example herebeing heavy-fermion superconductivity, theresistance-less flow of current at very lowtemperatures. Discovered3 in 1979, thisparticular variant of superconductivitydemanded a new understanding ofthe natureofheavy-fermion materials,as their magneticcharacter had been thought to be hostile to

the occurrence of superconductivity. In the1990s, it became clear that the systematicappearance of superconductivity in someheavy-fermion materials happens in thevicinity ofwhat has since been recognized as aquantum critical point4. Although this is nottrue for all heavy-fermion materials (includ-

ing YbRh2Si2, studied by Custers et al.2

), thetantalizing link between superconductivity

and quantum critical points has drivenefforts to understand both phenomena.

Classically, critical phenomena arenarrowly confined to the region around acritical point, but, in contrast, the influenceof a quantum critical point spreads throughthe phase diagram, well away from thepoint itself. The effects are many and canbe parametrized through properties thatvary with a power of temperature, such as

electrical resistivity, magnetic susceptibilityand specific heat. In their experiments,

Custers et al.

2

have traced the variation of such properties as they tuned their heavy-fermion material, YbRh2Si2, into a quantumcritical point by applying magnetic fields.

In these experiments, to probe the quan-tum critical point more deeply, the authors‘doped’ their samples of YbRh2Si2, replacingsome of the silicon atoms with germanium.

Germanium atoms are slightly larger thansilicon ones, and so increase the pressure inthe atomic lattice and drive down the strengthof the magnetic field at the critical point toalmost zero. Custers et al. have now providedthe most complete study so far of the heavy-fermion quantum critical point, combining

news and views

504 NATURE |VOL 424 |31 JULY 2003 |www.nature.com/nature

experiments are hard to do is only a temporary

excuse; it does not scratch the logical itch.Bergman and Siegal’s work makes it moreplausible that capacitance effects will befound.Yet there are at least three reasons whytheir results are not yet sufficient to convincea sceptic that capacitance is real.

First, in their simulations the authorslooked only at gene expression (the ‘transcrip-

tome’), rather than at anything approachingthe complexity of whole-organism pheno-

type.So their results leave us uncertain aboutwhat might happen in between. Variation ingene expression might in fact lead to canaliza-tion at the whole-organism level, if appro-priately regulated transcriptome variation ispart of the mechanism that canalizes whole-organism traits.

Second, variation released in the tran-scriptome could also produce changes inreproduction and mortality rates, which

determine the strength of natural selection.If increased genetic variation were accompa-nied by reduced variation in reproductivesuccess, or by reductions in the correlationbetween variation in traits and variation inreproductive success, the rate of evolutionwould not necessarily change. In fact, if theeffects were strong enough,the rate of evolu-tion might even decrease.

Third, Bergman and Siegal’s analysis of 

yeast data reveals an increase in phenotypic,not genetic, variation when genes areknocked out at random. Yet capacitancerequires that the increased variation be, atleast in part, genetic. It has been asserted7,8

that increased phenotypic variation impliesincreased genetic variation in such circum-

stances.But it might not.

So the existence and importance of evo-

lutionary capacitance remain uncertain. Butifcanalization does turn out to be a pervasiveproperty of genetic networks — one thatevolves rapidly and serves as an evolutionarycapacitor — a key feature of the geno-type–phenotype connection will have beenclarified. And that would stimulate furtherquestions.One is how part of the organism’s

response to environmental change remainscanalized while others become ‘plastic’, or

flexible. Also, how do the genetic networksthat might be producing canalization as a by-product interact with the mechanisms thatdetermine plasticity (if they interact at all)?Does evolutionary capacitance explain theperiods of stasis and rapid change that areseen in experimental studies of evolution —or perhaps even in the fossil record? Theanswers to such questions may seem beyondreach,but in fact we can start r ight now with

evolutionary experiments on the functionalgenomics of microorganisms. s

Stephen C. Stearns is in the Department of Ecology

and Evolutionary Biology, Yale University,

 New Haven, Connecticut 06520-8106, USA.

e-mail: [email protected]

1. Wagner, A. Evolution 50, 1008–1023 (1996).

2. Wagner,G., Booth, G.& Baghieri-Chiachian, H. A. Evolution 51,

329–347 (1997).

3. Siegal,M. L.& Bergman,A. Proc.N atl Acad.Sci. USA 99,

10528–10532 (2002).

4. Rutherford,R. L.& Lindquist, S. Nature 396, 336–342

(1998).

5. Quietsch,C., Sangster,T.A. & Lindquist, S. Nature 417,

618–624 (2002).

6. Bergman,A. & Siegal,M. L. Nature 424, 549–552 (2003).

7. Stearns,S. C.,Kaiser,M. & Kawecki, T. J. J. Evol. Biol.8, 539–557

(1995).

8. Meiklejohn,C. D.& Hartl, D.L.Trends Ecol. Evol. 17, 468–473

(2002).

More than a century of probing the

physics of magnetism has onlyserved to heighten its interest forphysicists. Over the past decade,a new focushas evolved — the behaviour of magneticmaterials at a ‘quantum critical point’. Criti-cal points are perhaps more familiarly asso-ciated with phase transitions such as thosebetween water, steam and ice. But at zero

temperature there are quantum phase tran-sitions, fluctuations between different statesof a phase diagram that are governed byHeisenberg’s uncertainty principle. In cer-tain magnetic materials, the temperature atwhich the system takes on a magneticallyordered state can be tuned, either chemically

or through some external influence,

towards absolute zero, the transition pointbeing a quantum critical point1. The ques-tion is, at a quantum critical point, do wesee something new that does not occur inclassical systems? On page 524 of this issue,Custers et al.2 go some way towards ananswer, through the closest approach yet toa quantum critical point in a ‘heavy-

fermion’material.Heavy-fermion materials, a class of 

so-called correlated-electron materials, aremetallic compounds with a chemicallyordered lattice of magnetic ions, in whichconduction electrons interact antiferromag-netically with the local magnetic moments

Condensed-matter physics

Singular behaviourZachary Fisk

Quantum fluctuations at absolute zero may push a system into adifferent phase or state. The ‘quantum critical point’ at which thishappens in certain materials has now been probed in greater detail.

 ©  2003 NaturePublishingGroup

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news and views

NATURE |VOL 424 |31 JULY 2003 |www.nature.com/nature 505

100 YEARS AGO

The additions to the Zoological Society’s

Gardens during the past week include aSooty Mangabey (Cercocebus fuliginosus )

from West Africa, presented by Mrs. Watkins;

a Ring-tailed Lemur (Lemur catta ) from

Madagascar, presented by Mr. H. P. Jacques;

a Suricate (Suricata tetradactyla ) from South

Africa, presented by Captain C. P. Harvey; two

Kinkajous (Cercoleptes caudivolvulus ) from

South America, presented by Miss C. Wallace

Dunlop; a Himalayan Whistling Thrush

(Myiophoneus temmincki ), a Blue-winged

Siva (Siva cyanouroptera ), a Lesser Blue-

winged Pitta (Pitta cyanoptera ) from the

Himalayas, presented by Mr. E. W. Harper; …

two Wanderoo Monkeys (Macacus silenus )

from Malabar, a Common Crowned Pigeon

(Goura coronata ), a Sclater’s Crowned

Pigeon (Goura sclateri ) from New Guinea…

two Indian Rollers (Coracias indica ), three

Pond Herons (Ardeola grayi ), five Scarlet-

backed Flower-peckers (Dicaeum 

cruentatum ), two Two-banded Monitors

(Varanus salvator ) from India, deposited.

From  Nature30 July 1903.

50 YEARS AGO

Traité de zoologie Anatomie, systématique,

biologie. Publié sous la direction de Prof.

Pierre-P. Grassé. Tome 1, Fascicule 1:

Phylogénie; protozoaires, genéralités; flagellés.(Paris: Masson et Cie., 1952.) 9,600 francs.

This is another volume of the now well-

known “Traité de Zoologie”, issued under the

editorship of Prof. Pierre-P. Grassé,of the

Sorbonne. While the seventh to appear, it is

in fact the first fascicle of the first volume of

the series and is in every way worthy of its

predecessors. Its 1,071 pages are provided

with 829 illustrations (there is no Fig. 285),

694 in line-drawings, 116 in half- tone

from wash drawings, 18 in half-tone of

photographs and 1 in line and colour… The

present volume deals only with the general

introductory matters and the sub-phylum

Flagellata. The introductory accounts of the

structure, physiology, nuclear behaviour, life-

cycle and biology of the various categories

form a valuable part of the work. Under the

systematics of each class there is,wherever

possible, a section dealing with its fossil

members, a reminder of the present interest

in microfossils. It is regrettable that the

exigencies of the times are reflected in

the price, for this highly commendable

book should be readily accessible to

every zoologist.

From  Nature1 August 1953.

chemical doping and magnetic-field measure-

ments to very low temperatures. Chemicaldoping,however,introduces inhomogeneitiesin the material that might easily confuse theinterpretation of experiments.But in this casethe results for the germanium-doped materialoverlap convincingly with those of the purecompound.This overlap is by no means a fore-gone conclusion:magnetic field and chemical

(or here,size) doping are not in general inter-changeable. But the singular nature of the

quantum critical point is revealed in thesemeasurements: the mass of the ‘dressed’electrons diverges towards infinity.

The temperature dependence ofphysicalproperties,in particular how these quantitiesscale with an exponent of temperature, is auseful diagnostic close to the quantum criti-cal point.This scaling behaviour — ofspecificheat, electrical resistivity and magnetic sus-ceptibility — is used in attempts to model

quantum critical behaviour, and to describethe physics of the fluctuations. Custers et al.2

have uncovered a linear temperature-depen-dence of electrical resistivity over a remark-ably large range, from 10 mK to 10 K (asshown in Fig. 1 on page 524). Moreover,the new data reveal that, as the temperaturechanges and the system moves away from thequantum critical point, temperature is theonly energy scale necessary to describe the

evolution.Similarly,when the magnetic field

is varied, that quantity sets the energy scale

for variations in the material’s propert ies.There is obvious danger in drawing con-

clusions from such power-law fits,which canonly be suggestive, but our modern under-standing requires that if there is a criticalpoint, there should be scaling. Theoreticalwork 5,6 has shown that it is reasonable tothink of quantum phase transitions as classi-

cal phase transitions in higher dimensions,but the question remains whether the highly

developed scaling concepts of classical criti-cal phenomena can be simply borrowed here.

The measurements made by Custers et 

al.2 show just how strongly the phase dia-grams of heavy-fermion materials are orga-nized by their singularities, the quantumcritical points.The goal is to understand thenature of this organization at a deeper level;the dream is that some essentially newground state may be found in the quantum-

critical-point regime. s

 Zachary Fisk is in the Department of Physics,

Florida State University, Tallahassee, Florida 32306,

and the Los Alamos National Laboratory, K774,

 Los Alamos, New Mexico 87545,USA.

e-mail: [email protected]

1. Sachdev, S. Science 288, 475–480 (2000).

2. Custers,J.et al.Nature 424, 524–527 (2003).

3. Steglich,F.et al. Phys.Rev.Lett . 43, 1892–1896 (1979).

4. Mathur,N.D. et al. Nature394, 39–43 (1998).

5. Hertz,J.A.Phys.Rev.B 14, 1165–1184 (1976).

6. Millis, A. J. Phys. Rev. B 48, 7183–7196 (1993).

Cell biology

Moving inside membranesKatsuyoshi Mihara

The mechanism that inserts proteins into the membranes of cellularorganelles was thought to be well understood. But studies in yeast revealthat this process is sometimes more complicated than had been suspected.

Rather like the organs of the humanbody, the ‘organelles’of plant, animaland yeast cells are specialized com-

partments that fulfil specific functions.Each organelle is bounded by a lipid mem-brane, which contains ‘translocase com-

plexes’ that ferry proteins from outside thecompartment to the inside. But organelle

membranes are more than just barriers;besides the translocase complexes, theycontain many other proteins, which oftenadopt intricate configurations within themembrane itself. The prevailing view is thatthese proteins are sorted and assembled inthe membrane by the same translocasecomplex that transports proteins across the

membrane to the organelle interior. But onpage 565 of this issue, Wiedemann et al.1

report an unexpected finding from theirstudies in yeast mitochondria. They showthat additional machinery, besides thetranslocase complex, is required to sort andassemble mitochondrial outer-membrane

proteins that have a complicated conforma-tion — including the translocase proteinsthemselves.

Mitochondria, the powerhouses of thecell,are bounded by not one,but two mem-branes. Some mitochondrial proteins reside

in one of these membranes, some occur inthe space between the membranes, and yet

others are at the heart of the mitochondrion(Fig. 1, overleaf). All of these proteins aresynthesized as precursor proteins (prepro-teins) inside the cell and are shutt led acrossthe membranes by TOM and TIM complexes— preprotein translocases of the outer andinner membranes, respectively2. The TOMcomplex forms a channel in the outer mem-

brane, called the general insertion pore,through which nearly all mitochondr ial pre-proteins pass. The channel is made by theprotein Tom40.This protein chain spans themembrane many times,forming an int ricatepore-shaped structure. The entire TOMcomplex, however, is composed of many

 ©  2003 NaturePublishingGroup