Temperature Ddependence of Anomalous Hall Conductivity in Rashba-type Ferromagnets

We theoretically investigated the anomalous Hall conductivity (AHC) of Rashba-type ferromagnets at a finite temperature, taking into account spin fluctuation. We observed that the intrinsic AHC increases with increasing temperature. This can be understood from the characteristic nature of the spin chirality in the k-space, which increases with decreasing exchange splitting (EXS) when the spin-orbit interaction is much smaller than the EXS. The extrinsic part of the AHC also increases with temperature owing to the enhancement of the scattering strength of electrons due to the thermal fluctuation of the exchange field.