Magnetoresistance of Two-Dimensional Fermions in a Random Magnetic Field

Details Magnetoresistance of Two-Dimensional Fermions in a Random Magnetic Field Magnetoresistance of Two-Dimensional Fermions in a Random Magnetic Field

1996-04-27

arxiv.org/abs/cond-mat/9604165v1

Physics

Condensed Matter

12 pages, Latex, no figures, Nordita report

Scientific paper

10.1103/PhysRevLett.77.1817

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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