Theory of spin motive force in one-dimentional antiferromagnetic domain wall

TL;DR

This paper develops a theoretical framework for understanding the spin motive force in one-dimensional antiferromagnetic domain walls, showing that conduction electrons experience this force similarly to ferromagnets, with implications for spintronics.

Contribution

The paper introduces a novel theoretical approach to analyze spin motive force in antiferromagnetic domain walls, demonstrating its effects through numerical solutions of the Schrödinger equation.

Findings

Spin motive force acts on conduction electrons in antiferromagnets.

No fundamental difference between antiferromagnets and ferromagnets in spintronics phenomena.

Numerical evidence supports the theoretical model.

Abstract

We present the theory of the spin motive force in antiferromagnets. We consider a one-dimensional antiferromagnetic domain wall strongly coupled with conduction electrons via an exchange interaction. We carry out a unitary transformation that rotates the spin coordinate system of the conduction electron locally, so that the quantization axis is in the direction of the localized spin. By numerically solving the time-dependent Schr$\"{o}$dinger equation, we clearly demonstrate that the spin motive force acts on the conduction electron. The result suggests that there is no distinction between antiferromagnets and ferromagnets from the view point of the basic phenomenon relevant to spintronics.