2009 TWO-DIMENSIONAL ELECTRON GASMagneto-intersubband oscillations in multilayer electron systemsTwo-dim<strong>en</strong>sional (2D) electron systems with several occupiedsubbands exhibit magneto-intersubband (MIS) oscillationsdue to the modulation of intersubband scatteringprobability wh<strong>en</strong> Landau levels of differ<strong>en</strong>t subbands arealigned. In contrast to Shubnikov de Haas (SdH) oscillations,the MIS oscillations are only weakly damped with increasingtemperature. Rec<strong>en</strong>tly, MIS oscillations have be<strong>en</strong>observed and investigated in double quantum well systemswhich consist of two quantum wells coupled by tunneling[Mamani et al., Phys. Rev. B 77, 205327 (2008)]. The finalstep is now a theory g<strong>en</strong>eralized to the multi-subband casewith N layers which is pres<strong>en</strong>ted in this report, experim<strong>en</strong>tallyverified in triple quantum wells (TQWs).We have studied symmetrically doped GaAs TQWs witha total electron sheet d<strong>en</strong>sity n s = 9 × 10 11 cm −2 and mobilitiesof 5 × 10 5 cm 2 /V s. In a perp<strong>en</strong>dicular magneticfield, Landau levels (LLs) pass sequ<strong>en</strong>tially the Fermi <strong>en</strong>ergyand the LL staircase associated with each subband issketched in figure 45(a) as well as a FFT analysis allowingus to extract the corresponding <strong>en</strong>ergy gaps. We havefound ∆ 12 = 4.0 meV, ∆ 13 = 5.4 meV and ∆ 23 = 1.4 meVfor a TQW with d b = 14 Å . The theory is g<strong>en</strong>eralized tothe multi-subband case [Wiedmann et al., to be publishedin Phys. Rev. B (2009)]. Here we pres<strong>en</strong>t the MIS contributionto resistivity (second order quantum contribution).We use a simplified approximation that partial subband occupationsn j , transport scattering rates ν trj j ′ , and quantumlifetimes τ j are equal to each other (τ j = τ q ). Due to hightotal d<strong>en</strong>sity and strong tunnel coupling, this approximationis reasonable for our system. In the regime of classicallystrong magnetic fields, we obtain the magnetoresistance forN=3 in the formρ d (B)ρ d (0) = 1 + 2 [3 d2 1 + 2 ( )3 cos 2π∆12ω c+ 2 ( )3 cos 2π∆13+ 2 ( )]ω c 3 cos 2π∆23, (5)ω cto electron-electron scattering which becomes ess<strong>en</strong>tial forT >2.0 K. The result is in good agreem<strong>en</strong>t with experim<strong>en</strong>talobservations in single or bilayer systems, indicating thatthe s<strong>en</strong>sitivity to electron-electron scattering is the fundam<strong>en</strong>talproperty of magnetoresistance oscillations originatingfrom second-order Dingle factor.Figure 45: Landau level staircase for a three-subband system andpicture of a TQW with three occupied subbands (1,2,3). (b) FFTspectra for the TQW with a barrier thickness of d b = 14 Å .where d = exp(−π/ω c τ q ) is the Dingle factor. This theoreticalmodel is in a good agreem<strong>en</strong>t with our observations andconfirms also the value of the <strong>en</strong>ergy gaps ∆ j j ′. The magnetoresistancein equation (5) is calculated assuming that thescattering pot<strong>en</strong>tial is ess<strong>en</strong>tial only in the side wells sincegrowth technology implies that most of the scatterers residein the outer barriers.In figure 46 we pres<strong>en</strong>t temperature dep<strong>en</strong>d<strong>en</strong>ce of MISoscillations and the extracted averaged quantum lifetime.SdH oscillations are suppressed for T >4.2 K. The behaviorof τ q follows a T 2 -dep<strong>en</strong>d<strong>en</strong>ce and this is attributedFigure 46: (a) Temperature dep<strong>en</strong>d<strong>en</strong>ce of MIS oscillations and(b) extraction of averaged quantum lifetime as a function of temperaturefor samples with d b = 14 Å . For 4.2 K, SdH oscillationsare completely suppressed for B ≤0.6 T.S. Wiedmann, J.C. PortalN.C. Mamani, G.M. Gusev (Instituto de Física da Universidade de São Paulo, SP, Brazil), O.E. Raichev (Institute ofSemiconductor Physics, NAS of Ukraine, Kiev, Ukraine), A.K. Bakarov (Institute of Semiconductor Physics, Novosibirsk,Russia)35
TWO-DIMENSIONAL ELECTRON GAS 2009Interfer<strong>en</strong>ce of fractional microwave induced resistance oscillations withmagneto-intersubband oscillations in a bilayer systemMicrowave induced resistance oscillations (MIRO) whichevolve into “zero resistance states” (ZRS) in high mobilitysamples and for a suffici<strong>en</strong>tly high microwave power arecurr<strong>en</strong>tly both under experim<strong>en</strong>tal and theoretical investigation.They are governed by the ratio of the radiation frequ<strong>en</strong>cyω to the cyclotron frequ<strong>en</strong>cy ω c = eB/m ∗ , wherem ∗ is the effective mass of the electrons. With increasingmicrowave (MW) power, fractional MIROs (FMIROs)are observed which can be <strong>des</strong>cribed by ε = ω/ω c = n/mwith integer n and m and m ≥2. If a double quantum well(DQW) is exposed to microwave irradiation, photoresistancediffers from the single-subband case because of additionalintersubband scattering. MIS oscillations are increased/decreasedor show an inversion (peak flip) for lowfrequ<strong>en</strong>cies. The oscillating magnetoresistance is caused byan interfer<strong>en</strong>ce of the physical mechanisms responsible forthe MIS oscillations and conv<strong>en</strong>tional MIRO, strongly correlatedwith microwave frequ<strong>en</strong>cy. It has also be<strong>en</strong> foundthat the inelastic mechanism explains photoresistance measurem<strong>en</strong>tsin a two-subband system at low temperatures[Wiedmann et al., Phys. Rev. B 78, 121301(R) (2008)].In this contribution we report on experim<strong>en</strong>tal and theoreticalstudies of interfer<strong>en</strong>ce betwe<strong>en</strong> MIS oscillations andFMIROs. In a certain temperature range (8 K
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2009 MAGNETIC SYSTEMSStructural ana
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2009 MAGNETIC SYSTEMSEnhancement ma
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2009 MAGNETIC SYSTEMSInvestigation
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2009 MAGNETIC SYSTEMSField-induced
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2009 MAGNETIC SYSTEMSMagnetic prope
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2009Biology, Chemistry and Soft Mat
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BIOLOGY, CHEMISTRY AND SOFT MATTER
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2009 APPLIED SUPERCONDUCTIVITYMagne
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2009 APPLIED SUPERCONDUCTIVITYPhtha
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2009Magneto-Science105
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MAGNETO-SCIENCE 2009Study of the in
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MAGNETO-SCIENCE 2009Magnetohydrodyn
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2009 MAGNET DEVELOPMENT AND INSTRUM
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2009 MAGNET DEVELOPMENT AND INSTRUM
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2009 MAGNET DEVELOPMENT AND INSTRUM
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2009 MAGNET DEVELOPMENT AND INSTRUM
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2009 PROPOSALSProposals for Magnet
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2009 PROPOSALSSpin-Jahn-Teller effe
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2009 PROPOSALSQuantum Oscillations
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2009 PROPOSALSThermoelectric tensor
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2009 PROPOSALSDr. EscoffierCyclotro
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2009 THESESPhD Theses 20091. Nanot
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2009 PUBLICATIONS[21] O. Drachenko,
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2009 PUBLICATIONS[75] S. Nowak, T.
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Contributors of the LNCMI to the Pr
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Institut Jean Lamour, Nancy : 68Ins
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Lawrence Berkeley National Laborato