Skew scattering in dilute ferromagnetic alloys

A detailed material-dependent analysis of the skew scattering mechanism in dilute alloys is presented for the first time for the anomalous Hall effect. In addition, the authors examine the spin Hall effect in ferromagnets from a first-principles perspective shedding light on its magnitude and on its relation to the anomalous Hall effect. Also, three up-to-date numerical methods are compared to each other demonstrating the subtlety of the effects under investigation. Small changes in the theoretical analysis or the experimental methods can, under certain conditions, influence the results drastically. The authors provide guidelines to both theoreticians and experimentalists as to where special attention has to be paid.