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1、Theoryofcombinedexciton-cyclotronresonanceinatwo-dimensionalelectrongas:Thestrongmagnetic?eldregimeA.B.Dzyubenko?DepartmentofPhysics,SUNYatBu?alo,Bu?alo,NY14260,USA(Phys.Rev.B64,241101(R)(2001))Idevelopatheoryofcombinedexciton-cyclotronresonance(ExCR)inalow-densitytwo-dimensionalelectrongasinhighm
2、agnetic?elds.Inthepresenceofexcesselectronsanincidentphotoncreatesanexcitonandsimultaneouslyexcitesoneelectrontohigher-lyingLandaulevels.IderiveexactExCRselectionrulesthatfollowfromtheexistingdynamicalsymmetries,magnetictranslationsandrotationsaboutthemagnetic?eldaxis.Thenatureofthe?nalstatesinExC
3、Riselucidated.TherelationbetweenExCRandshake-upprocessesisdiscussed.Thedouble-peakExCRstructurefortransitionstothe?rstelectronLandaulevelispredicted.71.35.Cc,71.35.Ji,73.21.FgOpticalmanifestationsofmany-bodye?ectsinlow-limitoflowelectrondensity,ExCRcanbeconsidered5todimensionalelectron-hole(e–h)sy
4、stemsinmagneticbeathree-particleresonanceinvolvingachargedsystem?eldshavebeenthefocusofmanyexperimentalandthe-oftwoelectronsandonehole,2e–h,inthe?nalstate.Im-oreticalstudiesduringthepastdecade.Recently,suchportantly,thereisacouplingofthecenter-of-massandobjectsas,e.g.,arti?cialatomsinquantumdotsan
5、dneg-internalmotionsforchargede–hcomplexesinmagneticativelychargedexcitonsX?inquantumwellshavebeen?elds.6Inordertodescribethehigh-?eldExCR,Iobtainunderintensescrutiny.1Thesurprisingapparentstabilitythecompletespectraofthe2e–heigenstatesinhigheroftheX?(whichinthedilutelimitisaweaklyboundLL’swithaco
6、nsistenttreatmentoftheCoulombcor-state2oftwoelectronsandonehole)inthepresenceofrelations.Iexploitarecentlydevelopedscheme7,8forexcesselectronsinstrongmagnetic?elds,andtherela-chargede–hcomplexesinmagnetic?eldsinwhichonetionofthisstabilitytoamany-bodycollectiveresponsedegreeoffreedomisseparatedwhil
7、eallexistingdynami-havebeenactivelydiscussed.1,3Anotherinterestingman-calsymmetries,rotationsabouttheBaxisandmagneticifestationofmany-bodye?ectsareshake-upprocesses4translations,arepreserved.Thisallowsonetoestab-