Higher-dimensional magnetic Skyrmions
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arXiv
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| Format: | Preprint |
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2024
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| author | Gudnason, Sven Bjarke Bolognesi, Stefano Menta, Roberto |
| author_facet | Gudnason, Sven Bjarke Bolognesi, Stefano Menta, Roberto |
| contents | We propose a generalization of the theory of magnetic Skyrmions in chiral magnets in two dimensions to a higher-dimensional theory with magnetic Skyrmions in three dimensions and an $S^3$ target space, requiring a 4-dimensional magnetization vector. A physical realization of our theory could be made using a synthetic dimension, recently promoted and realized in condensed matter physics. In the simplest incarnation of the theory, we find a Skyrmion and a sphaleron - the latter being an unstable soliton. Including also the Skyrme term in the theory enriches the spectrum to a small metastable Skyrmion, an unstable sphaleron and a large stable Skyrmion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12190 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher-dimensional magnetic Skyrmions Gudnason, Sven Bjarke Bolognesi, Stefano Menta, Roberto Mesoscale and Nanoscale Physics High Energy Physics - Theory Mathematical Physics We propose a generalization of the theory of magnetic Skyrmions in chiral magnets in two dimensions to a higher-dimensional theory with magnetic Skyrmions in three dimensions and an $S^3$ target space, requiring a 4-dimensional magnetization vector. A physical realization of our theory could be made using a synthetic dimension, recently promoted and realized in condensed matter physics. In the simplest incarnation of the theory, we find a Skyrmion and a sphaleron - the latter being an unstable soliton. Including also the Skyrme term in the theory enriches the spectrum to a small metastable Skyrmion, an unstable sphaleron and a large stable Skyrmion. |
| title | Higher-dimensional magnetic Skyrmions |
| topic | Mesoscale and Nanoscale Physics High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2411.12190 |