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1、Theoryofcombinedexciton-cyclotronresonanceinatwo-dimensionalelectrongas:ThestrongmagneticfieldregimeA.B.Dzyubenko∗DepartmentofPhysics,SUNYatBuffalo,Buffalo,NY14260,USA(Phys.Rev.B64,241101(R)(2001))Idevelopatheoryofcombinedexciton-cyclotronresonance(ExCR)inalow-densitytwo-dimensionalelectrongasinhighm
2、agneticfields.Inthepresenceofexcesselectronsanincidentphotoncreatesanexcitonandsimultaneouslyexcitesoneelectrontohigher-lyingLandaulevels.IderiveexactExCRselectionrulesthatfollowfromtheexistingdynamicalsymmetries,magnetictranslationsandrotationsaboutthemagneticfieldaxis.ThenatureofthefinalstatesinExC
3、Riselucidated.TherelationbetweenExCRandshake-upprocessesisdiscussed.Thedouble-peakExCRstructurefortransitionstothefirstelectronLandaulevelispredicted.71.35.Cc,71.35.Ji,73.21.FgOpticalmanifestationsofmany-bodyeffectsinlow-limitoflowelectrondensity,ExCRcanbeconsidered5todimensionalelectron-hole(e–h)sy
4、stemsinmagneticbeathree-particleresonanceinvolvingachargedsystemfieldshavebeenthefocusofmanyexperimentalandthe-oftwoelectronsandonehole,2e–h,inthefinalstate.Im-oreticalstudiesduringthepastdecade.Recently,suchportantly,thereisacouplingofthecenter-of-massandobjectsas,e.g.,artificialatomsinquantumdotsan
5、dneg-internalmotionsforchargede–hcomplexesinmagneticativelychargedexcitonsX−inquantumwellshavebeenfields.6Inordertodescribethehigh-fieldExCR,Iobtainunderintensescrutiny.1Thesurprisingapparentstabilitythecompletespectraofthe2e–heigenstatesinhigheroftheX−(whichinthedilutelimitisaweaklyboundLL’swithaco
6、nsistenttreatmentoftheCoulombcor-state2oftwoelectronsandonehole)inthepresenceofrelations.Iexploitarecentlydevelopedscheme7,8forexcesselectronsinstrongmagneticfields,andtherela-chargede–hcomplexesinmagneticfieldsinwhichonetionofthisstabilitytoamany-bodycollectiveresponsedegreeoffreedomisseparatedwhil
7、eallexistingdynami-havebeenactivelydiscussed.1,3Anotherinterestingman-calsymmetries,rotationsabouttheBaxisandmagneticifestationofmany-bodyeffectsareshake-upprocesses4translations,arepreserved.Thisallowsonetoestab-
