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Semi-classical magnetoresistance in weakly modulated magnetic fields

A. Matulis·F. M. Peeters
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Abstract

The semi-classical conductance of a two-dimensional electron gas is calculated in the presence of a one-dimensional modulated magnetic field with zero average. In the limit of small magnetic field amplitudes (B) the contribution of the magnetic modulation to the magnetoresistance increases as $B^{3/2}$ in the diffusive limit, while the increase is linear in $B$ in the ballistic regime. Temperature does not influence the power law behavior but it decreases the prefactor of this functional behavior.

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A. Matulis, F. M. Peeters. 2000-01-25. Semi-classical magnetoresistance in weakly modulated magnetic fields. https://arxiv.org/abs/cond-mat/0001359

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