Equation-of-motion approach of spin-motive force

TL;DR

This paper develops a quantitative equation-of-motion theory for spin-motive force in ferromagnetic metals, linking electron spin dynamics to electromotive phenomena like the anomalous Hall effect.

Contribution

It introduces a novel theoretical framework that explains the origin of spin-motive force through electron spin and magnetization interactions.

Findings

Spin-motive force arises from spin-dependent forces on electrons.

Misalignment between conduction electron spins and local magnetization causes these phenomena.

The theory explains the connection between spin dynamics and electromotive effects.

Abstract

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. Electrons feel spin dependent forces due to this interaction, and then 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.