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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(22M*kbT/heB)]-1, where M* is the magneto-transport mass. Comparison between theory and experiment directly gives the M*-value: M*=0.30 m which is 4.5 times the cyclotron mass m*=0.067 m. 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=e2n/M* , where n is the carrier density and  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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