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Non-linear Resistivity of a Two-Dimensional Electron Gas in a Magnetic Field

M. G. Vavilov·I. L. Aleiner·L. I. Glazman
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Abstract

We develop a theory of nonlinear response to an electric field of a two-dimensional electron gas (2DEG) placed in a classically strong magnetic field. The latter leads to a non-linear current-voltage characteristic at a relatively weak electric field. The origin of the non-linearity is two-fold: the formation of a non-equilibrium electron distribution function, and the geometrical resonance in the inter-Landau-levels transitions rates. We find the dependence of the current-voltage characteristics on the electron relaxation rates in the 2DEG.

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M. G. Vavilov, I. L. Aleiner, L. I. Glazman. 2006-11-06. Non-linear Resistivity of a Two-Dimensional Electron Gas in a Magnetic Field. https://doi.org/10.1103/physrevb.76.115331

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