Theory of the inverse spin hall effect in ferromagnetic metals near the curie temperature

Gu, B.; Ziman, T.*; Maekawa, Sadamichi

We give a theory of the Inverse Spin Hall Effect in ferromagnetic metals near the Curie temperature. We do this by extending Kondo's theory of the Anomalous Hall Effect in ferromagnetic metals to include the short range spin-spin correlations. We find a novel relation between the Inverse Spin Hall Effect and a second order nonlinear spin fluctuation in ferromagnetic metals near Curie temperature Tc, which has been hidden for about 50 years, since 1962. In that year Kondo gave a relation between the Anomalous Hall Effect and the first order nonlinear spin fluctuation in pure ferromagnetic metals near Tc. Our results show an essential difference between the Anomalous and Inverse Spin Hall Effects in terms of the spin correlations that are probed. Our theory can be compared to recent experiments in ferromagnetic alloys.