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Magnetotransport in lateral superlattices with small-angle impurity scattering: Low-field magnetoresistance

A. D. Mirlin·E. Tsitsishvili·P. Woelfle
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Abstract

An analytical study of the low-field magnetoresistance of a two-dimensional electron gas subject to a weak periodic modulation is presented. We assume small-angle impurity scattering characteristic for high-mobility semiconductor heterostructures. It is shown that the condition for existence of the strong low-field magnetoresistance induced by so-called channeled orbits is $η^{3/2}ql\gg 1$, where $η$ and $q$ are the strength and the wave vector of the modulation, and $l$ is the transport mean free path. Under this condition, the magnetoresistance scales as $η^{7/2}$.

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A. D. Mirlin, E. Tsitsishvili, P. Woelfle. 2000-12-21. Magnetotransport in lateral superlattices with small-angle impurity scattering: Low-field magnetoresistance. https://doi.org/10.1103/physrevb.64.125319

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