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Magnetotransport in two-dimensional electron gas at large filling factors

M. G. Vavilov·I. L. Aleiner
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Abstract

We derive the quantum Boltzmann equation for the two-dimensional electron gas in a magnetic field such that the filling factor $ν\gg 1$. This equation describes all of the effects of the external fields on the impurity collision integral including Shubnikov-de Haas oscillations, smooth part of the magnetoresistance, and non-linear transport. Furthemore, we obtain quantitative results for the effect of the external microwave radiation on the linear and non-linear $dc$ transport in the system. Our findings are relevant for the description of the oscillating resistivity discovered by Zudov {\em et al.}, zero-resistance state discovered by Mani {\em et al.} and Zudov {\em et al.}, and for the microscopic justification of the model of Andreev {\em et al.}. We also present semiclassical picture for the qualitative consideration of the effects of the applied field on the collision integral.

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M. G. Vavilov, I. L. Aleiner. 2003-10-28. Magnetotransport in two-dimensional electron gas at large filling factors. https://doi.org/10.1103/physrevb.69.035303

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