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Title: Kinetic theory of Shubnikov-de Hass oscillations in GaAs/AlGaAs
Authors: Fujita, S
Horie, S
Suzuki, A
Morabito, D L
Keywords: Magnetoresistance
Shubnikov-de Hass oscillations
Quantum Hall effect
Magneto-transport mass
Issue Date: Nov-2006
Publisher: CSIR
Series/Report no.: H01F1/40
Abstract: A quantum theory is developed for the Shubnikov-de Haas oscillation in GaAs/AlGaAs. The envelope of the oscillation for the magnetoresistance is shown to arise from the thermal average of the sinusoidal density of states with the Fermi distribution function for the field-dressed electrons (guiding centers). It is proportional to [sinh(2<img src='/image/spc_char/pi.gif' border=0><sup>2</sup><i>M</i><sub>*</sub><i>k<sub>b</sub>T/<strike>h</strike>eB</i>)]<sup>-1</sup>, where <i style="">M*</i> is the magneto-transport mass. Comparison between theory and experiment directly gives the <i style="">M*</i>-value: <i style="">M*=</i>0.30<i style=""> m</i> which is 4.5 times the cyclotron mass <i style="">m*=</i>0.067<i style=""> m</i>. The carriers are likely to be the c-fermions, each electron with two flux quanta. The theory avoids the use of the Dingle temperature arising from the Landau level damping. The magneto-conductivity σ for the center of oscillations is given by σ=<i>e<sup>2</sup>n/M<sup>*</sup><img src='/image/spc_char/gamma.gif' border=0></i> , where <i style="">n</i> is the carrier density and <img src='/image/spc_char/gamma.gif' border=0> is the relaxation rate. This useful formula is obtained by applying kinetic theory (and the Boltzmann equation method) to the motion of the dressed electrons.
Description: 850-855
ISSN: 0975-1041 (Online); 0019-5596 (Print)
Appears in Collections:IJPAP Vol.44(11) [November 2006]

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