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1、LowTemperatureBehavioroftheKondoEffectinTomonaga-LuttingerLiquidYu-LiangLiuMax-Planck-Institutf¨urPhysikKomplexerSysteme,BayreutherStr.40,D-01187Dresden,Germany.AbstractUsingthebosonizationmethod,westudythelowtemperaturebehavioroftheKondoeffectintheTomonaga-Luttinge
2、rliquidandclearlyshowthatthepowerlawtemperaturedependenceoftheimpuritysusceptibilityiscompletelydeterminedbytherepulsiveelectron-electroninteractionexistinginthetotalspinchannelandisindependentoftheelectron-electroninteractionexistinginthechargechannels.78.70.Dm,7
3、9.60.Jv,72.10.Fk,71.45.-darXiv:cond-mat/9710262v124Oct1997TypesetusingREVTEX1Recently,thequantumimpurityscatteringoftheTomonaga-Luttinger(TL)liquidhasbeenextensivelystudiedbyusingdifferenttechniques[[1]-[18]].However,thereissomecontroversyonthetreatmentofbackwardsc
4、atteringoftheconductionelectronsonaquan-tumimpurityorimpurity-likeholeinthevalenceband,althoughweallagreethatthebackwardscatteringdrasticallychangesthebehaviorofaTL-liquid.Themaindifficultyisthatwehavenotareasonablenon-perturbationtechniquetotreatstronglycorrelateds
5、ys-temssuchasinthehighenergyphysicsandcondensedmatterphysics.AnotherinterestingproblemisaquantummagneticimpurityscatteringoftheTL-liquid(Kondomodelinone-dimensionalelectronicsystem).Althoughitisextensivelystudiedbymanyauthors[[20]-[23]],thelowenergyandlowtemperatu
6、repropertiesoftheKondoeffectintheTL-liquidstillremainanopenproblembecauseofthestrongcouplingbetweentheimpurityspinandtheconductionelectronsinthelowenergyandlowtemperaturelimit.Inthispaper,usingthebosonizationmethod,wegiveadetailstudyonthelowtem-peraturebehaviorofth
7、eKondoeffectintheTL-liquidandfirsttimeclearlyshowthatthepowerlawnon-Fermiliquidbehavioroftheimpuritysusceptibilitycompletelydependsupontheelectron-electroninteractionexistinginthetotalspinchannelandisindependentoftheelectron-electroninteractionexistinginthechargecha
8、nnels.Forafreeelectronsys-tem,g=1(gisadimensionlesscouplingstrengthparameter,g=1correspondingtothefreeelectrongas),theimpuritypartshowsaFermiliquidbehav
