Localization corrections to the anomalous Hall effect in a ferromagnet

Physics – Condensed Matter – Materials Science

Scientific paper

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7 pages with 7 figures

Scientific paper

10.1103/PhysRevB.64.104411

We calculate the localization corrections to the anomalous Hall conductivity related to the contribution of spin-orbit scattering into the current vertex (side-jump mechanism). We show that in contrast to the ordinary Hall effect, there exists a nonvanishing localization correction to the anomalous Hall resistivity. The correction to the anomalous Hall conductivity vanishes in the case of side-jump mechanism, but is nonzero for the skew scattering. The total correction to the nondiagonal conductivity related to both mechanisms, does not compensate the correction to the diagonal conductivity.

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