Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-09-26
Physics
Condensed Matter
Strongly Correlated Electrons
5 figures
Scientific paper
The anomalous Hall effect in a multiband tight-binding model is numerically studied including the elastic scattering by disorder and the inelastic scattering. We find (i) the new scaling law $-\sigma_{xy}= (\alpha \sigma_{xx0}^{-1} + \beta \sigma_{xx0}^{-2}) \sigma_{xx}^2 + b$ recently proposed [Phys. Rev. Lett. {\bf 103}, 087206 (2009)] holds except for the alloys in which the band structures are ill-defined, where $\sigma_{\mu \nu}$ is the conductivity tensor and $\sigma_{\mu \nu 0}$ is that solely due to the elastic scattering, (ii) the skew scattering roughly scales with the density of sates and is rapidly suppressed by the inelastic scattering, while the intrinsic mechanism is robust, (iii) the side jump is smaller than the other mechanisms, and (iv) the intrinsic mechanism depends on temperature on the resonance condition.
Nagaosa Naoto
Shitade Atsuo
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