Extraordinary hall effect (EHE) in amorphous transition-metal ferromagnets

The expression for the EHE coefficient R s is derived for a transition-metal ferromagnet under the assumption that the effect originates from the skew-scattering of d-type electrons by the spin-orbit interaction. The spin-splitted d-type carriers imply different relaxation times of elastic scattering and densities of states at the Fermi level for spin-up and spin-down bands. Linear terms in the R s temperature dependence are shown to arise from these properties.