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Interplay between Zeeman interaction and spin-orbit coupling in a two-dimensional semicondu

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InterplaybetweenZeemaninteractionandspin-orbitcouplinginatwo-dimensional
semiconductorsystem
ManuelVal´ın-Rodr´ıguez
DepartamentdeF´ısica,UniversitatdelesIllesBalears,E-07122PalmadeMallorca,Spain
arXiv:cond-mat/0512231v1[cond-mat.mes-hall]11Dec2005
RashidG.Nazmitdinov
DepartamentdeF´ısica,UniversitatdelesIllesBalears,E-07122PalmadeMallorca,Spain
Max-Planck-Institutf¨urPhysikkomplexerSysteme,D-01187,Dresden,Germanyand
BogoliubovLaboratoryofTheoreticalPhysics,JointInstituteforNuclearResearch,141980Dubna,Russia
(Dated:February2,2008
WeanalysetheinterplaybetweenDresselhaus,Bychkov-Rashba,andZeemaninteractionsinatwo-dimensionalsemiconductorquantumsystemundertheactionofamagneticﬁeld.Whenaverticalmagneticﬁeldisconsidered,wepredictthattheinterplayresultsinaneﬀectivecyclotronfrequencythatdependsonaspin-dependentcontribution.Forin-planemagneticﬁelds,wefoundthattheinterplayinducesananisotropiceﬀectivegyromagneticfactorthatdependsontheorienta-tionoftheappliedﬁeldaswellasontheorientationoftheelectronmomentum.
PACSnumbers:PACS71.70.Ej,71.70.-d,73.21.Fg
Theeﬀectsproducedbydiﬀerentspin-dependentin-teractionsinsemiconductorstructuresarecurrentlyintheforefrontofexperimentalandtheoreticaleﬀortsinmesoscopicphysics.Theexplosiveactivityismotivatedbythedesireforadeepunderstandingofquantumco-herencephenomena.Theotherdrivingforceisthehopethatthe