Magnetic topological textures in nonorientable surfaces
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arXiv
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| Format: | Preprint |
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2025
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| author | Saji, Carlos Castro, Mario A. Carvalho-Santos, Vagson L. Saavedra, Eduardo Nunez, Alvaro S. Troncoso, Roberto E. |
| author_facet | Saji, Carlos Castro, Mario A. Carvalho-Santos, Vagson L. Saavedra, Eduardo Nunez, Alvaro S. Troncoso, Roberto E. |
| contents | Topological magnetic textures confined to two-dimensional (2D) non-orientable manifolds exhibit behaviors absent in planar systems. We investigate bimerons on Möbius 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 Möbius 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_12853 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Magnetic topological textures in nonorientable surfaces Saji, Carlos Castro, Mario A. Carvalho-Santos, Vagson L. Saavedra, Eduardo Nunez, Alvaro S. Troncoso, Roberto E. Mesoscale and Nanoscale Physics Materials Science Topological magnetic textures confined to two-dimensional (2D) non-orientable manifolds exhibit behaviors absent in planar systems. We investigate bimerons on Möbius 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 Möbius 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. |
| title | Magnetic topological textures in nonorientable surfaces |
| topic | Mesoscale and Nanoscale Physics Materials Science |
| url | https://arxiv.org/abs/2512.12853 |