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1、gatedbythecentralfeatureoftheStan-dardModel:InsteadofcomputingtheparametersoftheHamiltonianfromtheElectronic-Structurebasissetused,theyarefittotheob-servedbandpropertiesofthebulk5-7(bandgaps,masses)orthenanostruc-turesthemselves.lOJTheoryofTheStandardModelhasbeenemi-nent
2、lysuccessfulindescribingthespectroscopyandtransportofhigh-dimensionalnanostructuressuchas2DSemiconductorquantum-wellstructures7andlaserdevices.12ItssuccessindescribinglowerdimensionalnanostructuressuchaODQuantumDotsquantumdots,whileveryimpressive(e.g.,seethegoodagreement
3、withtheexcited-stateenergiesoftheCdSedotl’*“),issometimescloudedbythefactAlexZungerthattheparameterswerefittedtothedataonthenanostructureitself,“,”andthatimprovementsviaanincreaseintheThe“StandardModel”oftheASW,etc.),thetheoryofquantumnano-numberofbasisfunctionscomewitha
4、nElectronicStructureofDotsstructureshasbeendominatedmainlybyunpleasantincreaseinthenumberofProgressmadeinthegrowthof“free-asingleapproachsowidelyusedthatIadjustableparameters.Consequentlyinstanding”(e.g.,colloidal)quantumdotslt2refertoitasthe“StandardModel”:thedesigninga
5、nalternativetheoreticalde-(seealsoarticlesinthisissuebyNozikeffective-massapproximation(EMA)scriptionoftheelectronicstructureofandMiCi6,andbyAlivisatos)andintheanditsextensiontothe“k-P”~-~(wherenanostructures,wesetthefollowinggrowthofsemiconductor-embeddedkisthewavevecto
6、randpisthemomem-requirements:(“self-assembled”)dots3p4(seealsotheturn).Infact,speakersatnanostructureHNoadjustableparameters,exceptforarticlebyBimberg,Grundmann,andconferencesoftenrefertoitas“theory”the3Dbulk,inwhich“local-density-Ledentsovinthisissue)hasopenedthewithout
7、havingtospecifywhatisbeingapproximation(LDA)errors”13mustbedoortonewandexcitingspectroscopicdone.Theaudienceknows.corrected.studiesofquantumstructures.ThesehaveTheessentialidea5-7issweepinginitsnTheaccuracyofthephysicaldescrip-revealedrichandsometimesunexpectedsimplicity
8、:Thesingle-particlewavetionshouldbethesamefornanostruc-featuressuchasquantum-dotshape-functionstit(r)of
