Magnetic topological textures in nonorientable surfaces

TL;DR

This paper explores how non-orientable surfaces like M"obius strips influence magnetic textures, revealing unique topological behaviors, stability features, and transport phenomena driven by geometry and curvature.

Contribution

It demonstrates the impact of non-orientable geometry on magnetic textures, including altered conservation laws, stability of chiral configurations, and novel transport effects.

Findings

Geometry-dependent topological charge and stability of bimerons

Unconventional transverse transport responses due to charge inversion

Path-dependent quantum interference of magnonic modes

Abstract

Topological magnetic textures confined to two-dimensional (2D) non-orientable manifolds exhibit behaviors absent in planar systems. We investigate bimerons on M\"obius surfaces and show that the lack of global orientation alters conservation laws, yielding geometry-dependent topology and dynamics. Micromagnetic simulations reveal that the helical twist and non-orientable geometry reshape the effective topological charge and stabilize chiral configurations imposed by the surface. Under spin-polarized currents, bimerons display unconventional transport: the transverse response is locally reversed or globally suppressed due to charge inversion along the manifold. Moreover, we establish an Aharonov-Bohm effect associated with the magnonic modes of the texture; in particular, the translational Goldstone mode implies that a bimeron on a M\"obius strip should exhibit path-dependent quantum interference. These results identify a geometry-driven regime of magnetization dynamics and provide a route to curvature-engineered spintronic functionalities.