Equation-of-motion approach of spin-motive force

Yamane, Yuta; Ieda, Junichi   ; Oe, Junichiro*; Barnes, S. E.*; Maekawa, Sadamichi

We formulate a quantitative theory of an electromotive force of spin origin, i.e., spin-motive force, by the equation-of-motion approach. In a ferromagnetic metal, electrons couple to the local magnetization via the exchange interaction. The electrons are affected by spin dependent forces due to this interaction and the spin-motive force and the anomalous Hall effect appears. We have revealed that the origin of these phenomena is a misalignment between the conduction electron spin and the local magnetization.