Topological invariants of vortices, merons, skyrmions, and their combinations in continuous and discrete systems
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913790340104192 |
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| author | Rybakov, Filipp N. Eriksson, Olle Kiselev, Nikolai S. |
| author_facet | Rybakov, Filipp N. Eriksson, Olle Kiselev, Nikolai S. |
| contents | Magnetic vortices and skyrmions are typically characterized by distinct topological invariants. This work presents a unified approach for the topological classification of these textures, encompassing isolated objects and configurations where skyrmions and vortices coexist. Using homotopy group analysis, we derive topological invariants that form the free abelian group, $\mathbb{Z}\times\mathbb{Z}$. We provide an explicit method for calculating the corresponding integer indices in continuous and discrete systems. This unified classification framework extends beyond magnetism and is applicable to physical systems in general. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_17641 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Topological invariants of vortices, merons, skyrmions, and their combinations in continuous and discrete systems Rybakov, Filipp N. Eriksson, Olle Kiselev, Nikolai S. Mesoscale and Nanoscale Physics Magnetic vortices and skyrmions are typically characterized by distinct topological invariants. This work presents a unified approach for the topological classification of these textures, encompassing isolated objects and configurations where skyrmions and vortices coexist. Using homotopy group analysis, we derive topological invariants that form the free abelian group, $\mathbb{Z}\times\mathbb{Z}$. We provide an explicit method for calculating the corresponding integer indices in continuous and discrete systems. This unified classification framework extends beyond magnetism and is applicable to physical systems in general. |
| title | Topological invariants of vortices, merons, skyrmions, and their combinations in continuous and discrete systems |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2412.17641 |