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A kinetic equation approach to the anomalous Hall effect in a diffusive Rashba two-dimensional electron system with magnetization

S. Y. Liu·X. L. Lei
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Abstract

We present a two-band kinetic equation method to investigate the anomalous Hall effect in a Rashba two-dimensional electron system subjected to a homogeneous magnetization. The electron-impurity scattering is taken into account in the self-consistent Born approximation. It is demonstrated that the impurity-density-free anomalous Hall conductivity arises from an intrinsic and a disorder-mediated mechanisms, associated respectively with the electron states under and near the Fermi surface. The intrinsic mechanism relates to a dc-field-induced transition process, or in other words, a linear stationary Rabi process. The disorder-mediated one corresponds to a scattering between impurities and the electrons participating in longitudinal transport. Numerically, the dependencies of the anomalous Hall conductivity on the spin-orbit coupling constants and the strength of the magnetization are demonstrated for both the short- and long-range collisions.

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S. Y. Liu, X. L. Lei. 2005-12-17. A kinetic equation approach to the anomalous Hall effect in a diffusive Rashba two-dimensional electron system with magnetization. https://doi.org/10.1103/physrevb.72.195329

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