Tight-binding study of anomalous Hall effect in ferromagnetic 3d transition metals

Anomalous Hall conductivity in ferromagnetic 3d transition metals is calculated using realistic tight-binding models assuming the intrinsic origin of the effect. The order of magnitude and sign of the obtained results are found to agree with experimental and previous theoretical results, supporting the intrinsic origin of the anomalous Hall effect in ferromagnetic 3d transition metals. Furthermore, it is shown that magnitude and sign of the anomalous Hall conductivity can be explained as a consequence of the dependence of the Hall conductivity on electron number found in our previous study.