Geometry-induced motion of magnetic domain walls in curved nanostripes
Kostiantyn V. Yershov, Volodymyr P. Kravchuk, Denis D. Sheka,, Oleksandr V. Pylypovskyi, Denys Makarov, and Yuri Gaididei

TL;DR
This paper demonstrates that the curvature of a nanostripe can induce high-velocity motion of magnetic domain walls without external stimuli, driven by geometry-induced Dzyaloshinskii--Moriya interaction, applicable to various geometries.
Contribution
It introduces a novel mechanism for domain wall motion driven solely by geometric curvature gradients, expanding control methods for magnetic textures.
Findings
Domain walls reach velocities up to 100 m/s due to curvature gradients.
Motion is driven by inhomogeneous Dzyaloshinskii--Moriya interaction.
The approach is applicable to various curved geometries.
Abstract
Dynamics of topological magnetic textures are typically induced externally by, e.g.~magnetic fields or spin/charge currents. Here, we demonstrate the effect of the internal-to-the-system geometry-induced motion of a domain wall in a curved nanostripe. Being driven by the gradient of the curvature of a biaxial stripe, transversal domain walls acquire remarkably high velocities of up to 100 m/s and do not exhibit any Walker-type speed limit. We pinpoint that the inhomogeneous distribution of the curvature-induced Dzyaloshinskii--Moriya interaction is a driving force for the motion of a domain wall. Although we showcase our approach on the specific Euler spiral geometry, the approach is general and can be applied to a wide class of geometries.
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