Coherent Description of the Intrinsic and Extrinsic Anomalous Hall Effect in Disordered Alloys on an Ab Initio Level

A coherent description of the anomalous Hall effect is presented that is applicable to pure and disordered systems. This is achieved by an implementation of the Kubo-Středa equation using the fully relativistic Korringa-Kohn-Rostoker method in combination with the coherent potential approximation. Applications to the pure ferromagnets Fe and Ni led to results in full accordance with previous work. For the alloy systems Fe(x)Pd(1-x) and Ni(x)Pd(1-x) very satisfying agreement with experiment could be achieved for the anomalous Hall conductivity. To interpret these results a detailed discussion of the skew and side-jump scattering processes is given.