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1、PHYSICALREVIEWA88,053840(2013)PhotonicspinHalleffectintopologicalinsulatorsXinxingZhou,JinZhang,XiaohuiLing,ShizhenChen,HailuLuo,*andShuangchunWen?KeyLaboratoryforMicro-/Nano-OptoelectronicDevicesofMinistryofEducation,CollegeofPhysicsandMicroelectronicScience,HunanUnive
2、rsity,Changsha410082,People’sRepublicofChina(Received21July2013;published25November2013)InthispaperwetheoreticallyinvestigatethephotonicspinHalleffect(SHE)ofaGaussianbeamre?ectedfromtheinterfacebetweenairandtopologicalinsulators(TIs).ThephotonicSHEisattributedtospin-orb
3、itcouplingandmanifestsitselfasin-planeandtransversespin-dependentsplitting.Werevealthatthespin-orbitcouplingeffectinTIscanberoutedbyadjustingtheaxionanglevariations.We?ndthat,unlikethetransversespin-dependentsplitting,thein-planeoneissensitivetotheaxionangle.Itisshownth
4、atthepolarizationstructureinthemagneto-opticalKerreffectissigni?cantlyalteredduetothespin-dependentsplittinginthephotonicSHE.Wetheoreticallyproposeaweakmeasurementmethodtodeterminethestrengthofaxioncouplingbyprobingthein-planesplittingofthephotonicSHE.DOI:10.1103/PhysRe
5、vA.88.053840PACSnumber(s):42.25.?p,42.79.?e,41.20.JbI.INTRODUCTION[7,8].ThiscouplingisdescribedbytheeffectiveLagrangiandensityL=(α/4π2)E·B.Here,α=e2/hcˉisthe?ne-ThespinHalleffect(SHE)isatransporteffectofinducingstructureconstantandistheaxionanglecorrespondingtotransv
6、ersespincurrentsperpendiculartotheappliedelectric-theaxioncouplingeffect.Underthiscondition,anapplied?elddirection[1,2].TheSHEoffersapromisingmethodforelectric?eldcaninducemagnetizationandamagnetic?eldspatiallyseparatingelectronspinswhichcouldbeappliedtocancausepolariza
7、tion.Werevealedthat,duetotheaxiondevelopnewspintronicdevices[3].ItiswellknownthatthecouplingeffectofTIs,thespin-orbitcouplinginthephotonicphysicalmechanismoftheSHEinelectricsystemsisattributedSHEcanbemodulatedbyadjustingtheaxionangle.The?eldtothespin-orbitcoupling.Recen
8、tly,amaterialknownasadistributionofthere?ectedbeamisanalyzed,andwe?ndthattopologicalinsulator(TI)hasarousedtre
