Auger recombination of electron-hole drops .pdf

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1、SolidStateCommunications,Vol.25,pp.477-479,1978.PergamonPressPrintedinGreatBritainAUGERRECOMBINATIONOFELECTRON-HOLEDROPSA.HaugII.InstitutfiirTheoretischePhysik,TechnischeUniversitat,Berlin,DlOOOBerlin12,St&edes17.Junil35,W.Germany(Received17September1977byE.Mollwo)Phonon-as

2、sistedAugerrecomb~ationiscalculatedforindirectbandgapsemiconductorsinthestronglydegeneratecase.Itfollowsareciprocallifetimer-i=Cn2withC=7.19x1031cm6set-forSiandC=2.94x1tY3rcmset-forGe.Theseresultsareingoodagreementwithexperi-mentalvaluesofthedecayofelectron-holedrops.Theref

3、oreonecanconcludethatphonon-~sistedAugerrecombinationistheessentialnon-radiativerecombinationprocessinthiscaseELECTRON-HOLEdrops(EHD)decaypartlyradiativeatelytoENDinSiandGe.First,itwasstatedinIthatandpartlynon-radiative.Thenon-radiativecontributionnormalAugerrecombination(w

4、ithoutparticipationofisgenerallyascribedtoAugerrecombination.Takingaphonon)isgenerallyimpossibleinthedegeneratetheusualAugerrelationcase.ThisfollowsfromthecombinedeffectofthewavevectorandenergyconservationandoftherestrictiontotheFermisphereandholdsalsoforindirectbaudgapsemi

5、conductors.ThisisanadditionalreasonwhyEHD(7=lifetime,n=electron-holedensity,C=recombi-measurementscannotbecomparedwiththetheoriesnationrate)Benoit5laGuillaumeetal.[I]obtainfrom[3ladt51.theirEHD-measurements:SincenormalAugerrecombinationcanbeexcludedphonon-assistedAugerrecom

6、binationisconsidered(asSi:C=7.5x10-31cm6sec-1>*inI).Thisisasecondorderprocesswithanelectron-Ge:C=3x10-3cm6sec-.(2)phononscatteringfromaninitialstatetoanintermedi-atestateandanAugertransitionfromtheinte~ediateTheyremarkthatthesevaluesareinsatisfyingagree-statetothefinalstate

7、,orviceversa(Fig.1).ThementwithexperimentsofConradtetal.121whereascalculationusesthesamestepsasinI:secondordertheagreementwithatheoryofHuldt[3]isnotsogood.transitionprobability,theFermistatisticsinitslimitObse~ationsofShahetaf.[4]leadtoalifet~eT=forzerotemperature,summation

8、overallinitialand35xIO-setofanelectron-holeliquidinGaPwhichfinalstateswheretheactu