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Magnetoresistance of Two-Dimensional Fermions in a Random Magnetic Field

D. V. Khveshchenko
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Abstract

We perform a semiclassical calculation of the magnetoresistance of spinless two-dimensional fermions in a long-range correlated random magnetic field. In the regime relevant for the problem of the half filled Landau level the perturbative Born approximation fails and we develop a new method of solving the Boltzmann equation beyond the relaxation time approximation. In absence of interactions, electron density modulations, in-plane fields, and Fermi surface anisotropy we obtain a quadratic negative magnetoresistance in the weak field limit.

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D. V. Khveshchenko. 1996-04-27. Magnetoresistance of Two-Dimensional Fermions in a Random Magnetic Field. https://doi.org/10.1103/physrevlett.77.1817

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