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Anomalous Hall effect in ferromagnetic disordered metals
Author(s) -
Wölfle P.,
Muttalib K.A.
Publication year - 2006
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.200510206
Subject(s) - condensed matter physics , quantum hall effect , physics , hall effect , ferromagnetism , scattering , kubo formula , thermal hall effect , quantum spin hall effect , impurity , spin hall effect , electron , berry connection and curvature , electrical resistivity and conductivity , conductivity , quantum mechanics , geometric phase , spin polarization
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.