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| Auteurs principaux: | , , , , , , , , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2601.17790 |
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| _version_ | 1866912973429145600 |
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| author | Chen, Xiaowen Song, Dongsheng Rybakov, Filipp N. Kiselev, Nikolai S. Li, Long Shi, Wen Wu, Rui Fu, Xuewen Eriksson, Olle Bluegel, Stefan Du, Haifeng Zheng, Fengshan |
| author_facet | Chen, Xiaowen Song, Dongsheng Rybakov, Filipp N. Kiselev, Nikolai S. Li, Long Shi, Wen Wu, Rui Fu, Xuewen Eriksson, Olle Bluegel, Stefan Du, Haifeng Zheng, Fengshan |
| contents | Magnetic hopfions are three-dimensional topological solitons -- knotted, vortex-like spin configurations. In chiral magnets, hopfions can appear as isolated structures or they can be linked to skyrmion strings. Previous studies employed a sophisticated protocol and a special sample geometry to nucleate such hopfions linked to one or a few skyrmion strings. Here, we introduce an electric-current-assisted nucleation protocol that is simple and independent of the sample shape and size. The resulting hopfions exhibit extraordinary stability in the presence of both positive and negative magnetic fields, in perfect agreement with micromagnetic simulations. We also present a comprehensive framework for classifying hopfions, skyrmions, and merons by deriving the corresponding homotopy group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_17790 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Electric-current-assisted nucleation of zero-field hopfion rings Chen, Xiaowen Song, Dongsheng Rybakov, Filipp N. Kiselev, Nikolai S. Li, Long Shi, Wen Wu, Rui Fu, Xuewen Eriksson, Olle Bluegel, Stefan Du, Haifeng Zheng, Fengshan Mesoscale and Nanoscale Physics Magnetic hopfions are three-dimensional topological solitons -- knotted, vortex-like spin configurations. In chiral magnets, hopfions can appear as isolated structures or they can be linked to skyrmion strings. Previous studies employed a sophisticated protocol and a special sample geometry to nucleate such hopfions linked to one or a few skyrmion strings. Here, we introduce an electric-current-assisted nucleation protocol that is simple and independent of the sample shape and size. The resulting hopfions exhibit extraordinary stability in the presence of both positive and negative magnetic fields, in perfect agreement with micromagnetic simulations. We also present a comprehensive framework for classifying hopfions, skyrmions, and merons by deriving the corresponding homotopy group. |
| title | Electric-current-assisted nucleation of zero-field hopfion rings |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2601.17790 |