Monte Carlo calculation of the current-voltage characteristi(3)
发布时间:2021-06-08
发布时间:2021-06-08
We have studied the nonlinear current-voltage characteristic of a two dimensional lattice Coulomb gas by Monte Carlo simulation. We present three different determinations of the power-law exponent $a(T)$ of the nonlinear current-voltage characteristic, $V
assumestheuniversalvalue2,soV~I3atT=Tc.ForT<Tconehasa(T)>2,andfor
T>Tconehasa(T)=0(forsmallenoughcurrents)[9].Experimentson,forexample,thinHg-Xealloy lms[4]andalsoforcertainsinglecrystalhightemperaturesuperconductors
[7,8],amongsome,havecon rmedthis.
SinceIVcharacteristicsarehardtocalculateanalyticallycomputersimulationisauseful
tool.IVcharacteristicsofvortexsystemshaverecentlybeencalculatedsuccessfullywith
MonteCarlosimulations[10].LinearandnonlinearIVcharacteristicsofvortexglasssuper-
conductorshavebeenreportedinRefs.[10,11].InarecentMonteCarlosimulationofthe
CoulombgasthelinearresistancewasusedtolocatetheKosterlitz-Thoulesstransition[12].
ThenonlinearIVcharacteristicsattheKosterlitz-Thoulesstransitionhasbeencalculated
inRef.[13],anda nite-sizescalinganalysisaccuratelyveri edtherelationV~I3atthe
Kosterlitz-Thoulesstransition.
InthispaperwestudytheIVcharacteristicsofalatticeCoulombgasmodelbyMonte
Carlosimulationsofvortexdynamics.WecalculatetheIVexponenta(T)oftheCoulomb
gasinthreedi erentways:(1)BydirectMonteCarlocalculationofthenonlinearresistance,
(2)byaselfconsistentlinearscreeningconstructionfortheenergybarrierforcurrentin-
ducedvortex-pairbreakinggivingthermallyactivatedresistance,and(3)bya nitescaling
constructionfromdataforthelinearresistance.AllmethodsarebasedonMonteCarlo
simulations,andweapplybothequilibriumandnon-equilibriumsimulations.Thesethree
methodsgivethesameresults,givingusaconsistentandsimplepictureofnonequilibrium
responseinthissystem.Furthermore,wecompareourresultsfora(T)withexperiments.
Scalingargumentsgivethata(T)isauniversalscalingfunctionofareducedCoulombgas
temperatureX=T/Tc,andthisisveri edinexperiments[3].We ndcloseagreement
betweenourMonteCarloresultsandtheexperimentaluniversalscalingcurve,andthis
comparisonappearstobepresentedhereforthe rsttime.Theagreementbetweendif-
ferentmethods,andbetweenoursimulationsandexperiments,arethemainresultsofour
paper.SomeofourMonteCarloresultsforthenonlinearIVcharacteristicshavebeen
obtainedpreviously[13],asexplainedabove.
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