Anomalous Hall effect in ferromagnetic disordered metals

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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Invited paper for Ann. Physik commemorating Paul Drude

Scientific paper

10.1002/andp.200510206

The anomalous Hall effect in disordered band ferromagnets is considered in the framework of quantum transport theory. A microscopic model of electrons in a random potential of identical impurities including spin-orbit coupling is used. The Hall conductivity is calculated from the Kubo formula for both, the skew scattering and the side-jump mechanisms. The recently discussed Berry phase induced Hall current is also evaluated within the model. The effect of strong impurity scattering is analyzed and it is found to affect the ratio of the non-diagonal (Hall) and diagonal components of the conductivity as well as the relative importance of different mechanisms.

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