Semiclassical framework for the calculation of transport anisotropies
Abstract
We present a procedure for finding the exact solution to the linear-response Boltzmann equation for two-dimensional anisotropic systems and demonstrate it on examples of non-crystalline anisotropic magnetoresistance in a system with spin-orbit interaction. We show that two decoupled integral equations must be solved in order to find the non-equilibrium distribution function up to linear order in the applied electric field. The examples are all based on the Rashba system with charged magnetic scatterers, a system where the non-equilibrium distribution function and anisotropic magnetoresistance can be evaluated analytically. Exact results are compared to earlier widely-used approximative approaches. We find circumstances under which approximative approaches may become unreliable even on a qualitative level.
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Cite
@article{arxiv.0810.5693,
title = {Semiclassical framework for the calculation of transport anisotropies},
author = {Karel Vyborny and Alexey A. Kovalev and Jairo Sinova and T. Jungwirth},
journal= {arXiv preprint arXiv:0810.5693},
year = {2009}
}
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