Anomalous Hall effect in ferromagnetic disordered metals

Abstract

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.

Invited paper for Ann. Physik commemorating Paul Drude

References in corpus (7)

• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• Anomalous Hall effect in ferromagnetic semiconductors
• Berry Curvature on the Fermi Surface: Anomalous Hall Effect as a Topological Fermi-Liquid Property
• Topological Nature of Anomalous Hall Effect in Ferromagnet
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• Hall effect in heavy-fermion metals
• Anomalous Hall effect in a two dimensional electron gas with magnetic impurities
• Anomalous Hall effect in Rashba two-dimensional electron systems based on narrow-band semiconductors: side-jump and skew scattering mechanisms
• Skew Andreev reflection in ferromagnet/superconductor junctions
• Quantum kinetics of anomalous and nonlinear Hall effects in topological semimetals
• Kinetic theory of spin-polarized systems in electric and magnetic fields with spin-orbit coupling: I. Kinetic equation and anomalous Hall and spin-Hall effects
• Temperature Dependence of the Anomalous Hall Effect from Electron Interactions
• Side jump contribution to spin-orbit mediated Hall effects and Berry curvature
• Spin current swapping and Hanle spin Hall effect in the two dimensional electron gas
• Fluctuational Anomalous Hall and Nernst Effects in Superconductors
• Inverse Spin Hall Effect by Spin Injection
• Hall conductivity in the presence of spin-orbit interaction and disorder
• 2D skew scattering in the vicinity and away from resonant scattering condition