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arXiv · 2512.12853

Magnetic topological textures in nonorientable surfaces

Carlos Saji·Mario A. Castro·Vagson L. Carvalho-Santos·Eduardo Saavedra·Alvaro S. Nunez·Roberto E. Troncoso
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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.

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Carlos Saji, Mario A. Castro, Vagson L. Carvalho-Santos, Eduardo Saavedra, Alvaro S. Nunez, Roberto E. Troncoso. 2025-12-14. Magnetic topological textures in nonorientable surfaces. https://arxiv.org/abs/2512.12853

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