Microscopic theory of flexo Dzyaloshinskii-Moriya-type interaction

TL;DR

This paper develops a microscopic theory showing how inhomogeneous spin textures on curved magnetic surfaces can induce Dzyaloshinskii-Moriya-type interactions without spin-orbit coupling, supported by analytical expressions and a ring model demonstration.

Contribution

It introduces a novel mechanism for Dzyaloshinskii-Moriya interaction arising from curvature-induced inhomogeneous spin textures, independent of spin-orbit coupling.

Findings

Dzyaloshinskii-Moriya interaction can originate from curvature effects.

Analytical expressions for the interaction are derived.

The effect is demonstrated in a one-dimensional ring model.

Abstract

We study interaction between two magnetic impurities mediated by itinerant electrons on the surface of curved magnets based on perturbation theory. We show that Dzyaloshinskii-Moriya type interaction can arise from inhomogeneous spin texture by bending, without any spin-orbit coupling. Analytical expressions of the Dzyaloshinskii-Moriya type interaction are obtained. We demonstrate this effect in a one-dimensional ring model.