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1、weekendingPRL110,115301(2013)PHYSICALREVIEWLETTERS15MARCH2013TopologicalTransportinSpin-OrbitCoupledBosonicMottInsulatorsC.H.WongandR.A.DuineInstituteforTheoreticalPhysics,UtrechtUniversity,Leuvenlaan4,3584CEUtrecht,TheNetherlands(Received11December2012;pub
2、lished12March2013)Weinvestigatetopologicaltransportinspin-orbitcoupledbosonicMottinsulators.Weshowthatinteractionscanleadtoanomalousquasiparticledynamicsevenwhenthespin-orbitcouplingisAbelian.Toillustratethelatter,weconsiderthespin-orbitcouplingrealizedinth
3、eexperimentofLinetal.[Nature(London)471,83(2011)].Forthisspin-orbitcoupling,wecomputethequasiparticledispersionsandspectralweights,theinteraction-inducedmomentum-spaceBerrycurvature,andthemomentum-spacedistributionofspindensity,andproposeexperimentalsignatu
4、res.Furthermore,wefindthat,foragenericspinorbitcoupling,inourapproximationforthesingle-particlepropagator,thegroundstatecaninprinciplesupportanintegerHallconductivityifthesumoftheChernnumbersoftheholebandsisnonzero.DOI:10.1103/PhysRevLett.110.115301PACSnumbe
5、rs:67.85.d,03.75.b,37.10.JkIntroduction.—Spin-orbitcoupledelectronicsystemsandgenerateBerrycurvature,resultinginananomalousthatbreaktime-reversalsymmetrycanexhibitthequantumvelocityforthequasiparticles.anomalousHall(QAH)phase,whichsupportsanintegerIntwo-d
6、imensionaltopologicalinsulatorssuchasHgTeHallconductivityintheabsenceofamagneticfieldquantumwells,onecanchangethetopologicalphasebyandwasfirstproposedinamodelforgraphene[1].Attuningatime-reversal-breakinggapinthesingle-particlethesingle-particlelevel,thisisdu
7、etothenontrivialHamiltonian[12].InaspinfulMottinsulator,onemaymomentum-spacetopologyoftheHamiltonian,whichisconsiderwhethersuchagapcanariseduetointeractions.characterizedbyamomentum-spaceBerrycurvaturethatWefindthatthisisindeedpossibleandthattheCherncausesin
8、thesemiclassicalequationsofmotionananoma-numbercanchangeinthe(ferromagnetic)Mott-insulatinglousvelocitytransversetoexternalforces,anditsintegralphase.IfthesumoftheholebandChernnumbersisovertheBrillouin