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《The Gross-Neveu Model with Chemical Potential; An Effectivethe Gross-NeveuTheory for Solitonic-Metallic Phase Transition in Polyacetylene模型以及化学势地一个有效地； 孤立子理论地金属相变聚乙炔.pdf》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。
1、TMUP-HEL-9708YCTP-P18-97hep-th/9709179TheGross-NeveuModelwithChemicalPotential;AnEffectiveTheoryforSolitonic-MetallicPhaseTransitioninPolyacetylene?HisakazuMinakata†DepartmentofPhysics,TokyoMetropolitanUniversity1-1Minami-Osawa,Hachioji,Tokyo192-03JapanAlanChodosCenterforTheore
2、ticalPhysics,YaleUniversity217ProspectStreet,NewHaven,CT06511-8167USA(September,1997)AbstractTheGross-Neveumodelwithchemicalpotentialisinvestigatedasalow-arXiv:hep-th/9709179v125Sep1997energyeffectivetheoryofpolyacetylene.Inparticular,wefocusontheabruptchangeinthefeaturesofelec
3、tricconductivitysuchassharpriseinthePauliparamagnetismatdopantconcentrationofabout6%.WewilltrytoexplainitbythefinitedensityphasetransitionintheGross-Neveumodel.Thethermo-dynamicBetheansatziscombinedwiththelarge-NexpansiontoconstructthermodynamicsoftheGross-Neveumodel.Afirst-orde
4、rphasetransition†TalkpresentedatAPCTP-ICTPJointConference’97(AIJIC97)onRecentDevelopementsinNonperturbativeQuantumFieldTheory,May26-30,1997,APCTP,Seoul,Korea1isfoundinleadingorderinthe1/Nexpansionanditappearstobestableagainstthe1/Ncorrection.Thenexttoleadingordercorrectiontoth
5、ecriticaldopantconcentrationisexplicitlycalculated.2I.WHATISINTERESTINGINELECTRICCONDUCTIVITYINPOLYACETYLENE?InthistalkwewanttodescribeourrecentworksonthermodynamicsoftheGross-Neveumodelwithchemicalpotential.[1,2]Thephysicalmotivationfortheseworkscomesfromcondensedmatterphysic
6、s;electricconductivitypropertiesofdopedpolyacetylene.[3]Inparticular,wearetryingtodescribetheabruptchangeinelectricconductivitypropertiesatdopantconcentrationofabout6%.Polyacetyleneisatypical1-dimensionalpolymerandweareparticularlyinterestedintrans-typepolyacetylene.Itisafasci
7、natingmaterial,showingvarietyoffeaturesofelectricconductivitydependinguponthedopantconcentration.[3]Atzerodopingitisaninsulator.BecauseofthePeierlsinstabilityanelectrongasin1dimensionisunstableagainstgenerationofchargedensitywave[4]whichentails,inthissystem,analternatingdistor
8、tionofthelattice.Itiscalleddimerizationincondensed-matterlite
