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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 ferromagneticmetal, electrons couple to the local magnetization via the exchangeinteraction. Electrons feel spin dependent forces due to this interaction, andthen the spin-motive force and the anomalous Hall effect appears. We haverevealed that the origin of these phenomena is a misalignment between theconduction electron spin and the local magnetization.

Equation-of-motion approach of spin-motive force