Spin Hall Response at Finite Wave Vector in Ferromagnets

Spin Hall effect at finite wave vector in a ferromagnetic conductor is theoretically studied by calculating the spin density as linear response to an applied electric field. The cases of spin–orbit interaction due random impurities and localized Rashba are considered. It shown that has broad for \(q \lesssim 2k_{\text{F}}\) where kF Fermi vector. This fact confirms local nature spin-charge conversion effects.