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1、VOLUME49,NUMBER6PHYSICALREVIEWLETTERS9AUGUsr1982merizedgroundstateforarbitraryvaluesofMR.Sugar,N.Andrei,S.Shenker,K.Maki,andX(exceptM=0).TheunderlyingreasonisM.Stone,andparticularlyJ.R.Schrieffer.Onethatthephononfluctuationsinduceaneffectiveofus(E.F.)thankstheInstituteforTheoreticalelect
2、ron-electroninteractionofsuchatypethatPhysicsforitskindhospitalityduringthesummeraCDWgroundstateisalwaysproduced.(Thatof1981.ThisworkwassupportedbytheNationalinteractionisineffectiveinthecasen=1forScienceFoundationunderGrantsNo.PHY77-smallcouplingbecauseofthePauliexcl.usion27084andNo.DMR
3、81-17182.principle).Thisisaccompaniedbypairingofthespin-upandspin-downelectrons.However,thisconclusionisbynomeansinescapable.Prelim-inarynumericalstudies'showthatotherformsoftheelectron-phononcoupling(whichinduce'B.E.Peierls,QuantumTheoryofSolids(Oxford,longer-rangeattraction)giveaground
4、statewithUniv.Press,London,1955),p.108.superconductingcorrelations.ThishasalsoD.J.ScalapinoandB.L.Sugar,Phys.Bev.B24,beensuggestedfromcalculationsbasedonper-4295(1981).turbationtheory.'3T.Holstein,Ann.Phys.(N.Y.)8,325(1959).TheMCmethodusedinthis4W.P.Su,J.B.Schrieffer,andA.J.Heeger,Phys.p
5、aperoffersthepossibilityofnumericallystudy-Bev.B22,2099(1980).ingcomp1.icatedone-dimensionalelectron-phonon5J.E.Hirsch,D.J.Scalapino,B.L.Sugar,andmodels(theinclusionofelectron-electroninter-B.Blankenbecler,Phys.Bev.Lett.47,1628(1981).actionisstraightforward)andthusinvestigating6E.Fradkin
6、andJ.E.Hirsch,unpublished.therichvarietyofground-statephasesforsuchG.Beni,P.Pincus,andJ.Kanamori,Phys.Bev.systems,withoutrestrictiontoaperturbative810,1896(1974).~W.P.Su,tobepublished.regime.~J.E.HirschandD.J.Scalapino,unpublished.Oneofus(J.H.)isindebtedtoD.ScalapinoforSeeV.J.Emery,inKig
7、hlyConductingOne-Dimen-raisinghisinterestinthisproblemandfornu-sionalSol'ids,editedbyJ.Devreese,B.Evrard,andmerousstimu1.atingdiscussions.WeacknowledgeV.vanDoren(Plenum,NewYork,1979),andrefer-helpfulconversationswithS.Kivelson,W.P.Su,encestherein.QuantizedHallConductancei
