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We present a two-band kinetic equation method to investigate the anomalousHall effect in a Rashba two-dimensional electron system subjected to ahomogeneous magnetization. The electron-impurity scattering is taken intoaccount in the self-consistent Born approximation. It is demonstrated that theimpurity-density-free anomalous Hall conductivity arises from an intrinsic anda disorder-mediated mechanisms, associated respectively with the electronstates under and near the Fermi surface. The intrinsic mechanism relates to adc-field-induced transition process, or in other words, a linear stationaryRabi process. The disorder-mediated one corresponds to a scattering betweenimpurities and the electrons participating in longitudinal transport.Numerically, the dependencies of the anomalous Hall conductivity on thespin-orbit coupling constants and the strength of the magnetization aredemonstrated for both the short- and long-range collisions.Comment: 10 pages, 3 figure

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