资源描述：
《PhysRevX.1.021015 Abelian and Non-Abelian Statistics in the Coherent State Representation.pdf》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、PHYSICALREVIEWX1,021015(2011)AbelianandNon-AbelianStatisticsintheCoherentStateRepresentationJohnFlavinandAlexanderSeidelDepartmentofPhysicsandCenterforMaterialsInnovation,WashingtonUniversity,St.Louis,Missouri63136,USA(Received14September2011;published6Decemb
2、er2011)WefurtherdevelopanapproachtoidentifythebraidingstatisticsassociatedtoagivenfractionalquantumHallstatethroughadiabatictransportofquasiparticles.ThisapproachisbasedonthenotionofadiabaticcontinuitybetweenquantumHallstatesonthetorusandsimpleproductstatesor
3、patternsinthethintoruslimit,togetherwithasuitablecoherentstateansatzforlocalizedquasiholesthatrespectsthemodularinvarianceofthetorus.WegivearefinedandunifiedaccountoftheapplicationofthismethodtotheLaughlinandMoore-Readstates,whichmayserveasapedagogicalintroduct
4、iontothenutsandboltsofthistechnique.Ourmainresultisthattheapproachisalsoapplicablewithoutfurtherassumptionstomorecomplicatednon-Abelianstates.Wedemonstratethisingreatdetailforthelevelk¼3Read-Rezayistateatfillingfactor¼3=2.Theseresultsmayserveasanindependentch
5、eckofothertechniques,wherethestatisticsareinferredfromconformalblockmonodromies.Ourapproachhasthebenefitofgivingrisetointuitivepicturesrepresentingthetransformationoftopologicalsectorsduringbraiding,andallowsforaself-consistentderivationofnon-Abelianstatistics
6、withoutheavymathematicalmachinery.DOI:10.1103/PhysRevX.1.021015SubjectAreas:CondensedMatterPhysics,Mesoscopics,StronglyCorrelatedMaterialsI.INTRODUCTIONjustificationrequiresshowingthattheprocedurefollowedagreeswiththeresultoftheadiabatictransportofquasi-Thedis
7、coveryofthefractionalquantumHall(FQH)particles(asdefinedbytrialwavefunctions),whichulti-effect[1]hasdemonstratedthatundertherightconditions,matelydefinesthestatistics.Thisremainschallenginginaninteractingelectronsystemmayenterastatewithmanycasesofinterest.ForLa
8、ughlinquasiparticles,thistopologicalquantumorder[2].Laughlinsseminaltreat-programhasbeencarriedoutearlyonbyArovas,ment[3]ofthisnewstateofmatterpredictedthatFQHSchrieffer,andWilczek[9].The
