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Indian Journal of Pure & Applied Physics (IJPAP) >
IJPAP Vol.44 [2006] >
IJPAP Vol.44(11) [November 2006] >
| 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 |
| IPC Code: | 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 2M*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. |
| Page(s): | 850-855 |
| ISSN: | 0975-1041 (Online); 0019-5596 (Print) |
| Source: | IJPAP Vol.44(11) [November 2006]
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