Emergent Magnetic Field and Nonzero Gyrovector of the Toroidal Magnetic Hopfion
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866909188725145600 |
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| author | Popadiuk, Dariia Tartakovskaya, Elena Krawczyk, Maciej Guslienko, Kostyantyn |
| author_facet | Popadiuk, Dariia Tartakovskaya, Elena Krawczyk, Maciej Guslienko, Kostyantyn |
| contents | Magnetic hopfions are localized magnetic solitons with a nonzero 3D topological charge (Hopf index). Herein, an analytical calculation of the magnetic hopfion gyrovector is presented and it is shown that it does not vanish even in an infinite sample. The calculation method is based on the concept of the emergent magnetic field. The particular case of the simplest nontrivial toroidal hopfion with the Hopf index $\|Q_H\|=1$ in the cylindrical magnetic dot is considered and dependencies of the gyrovector components on the dot sizes are calculated. Nonzero hopfion gyrovector is important in any description of the hopfion dynamics within the collective coordinate Thieles approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02262 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Emergent Magnetic Field and Nonzero Gyrovector of the Toroidal Magnetic Hopfion Popadiuk, Dariia Tartakovskaya, Elena Krawczyk, Maciej Guslienko, Kostyantyn Mesoscale and Nanoscale Physics Magnetic hopfions are localized magnetic solitons with a nonzero 3D topological charge (Hopf index). Herein, an analytical calculation of the magnetic hopfion gyrovector is presented and it is shown that it does not vanish even in an infinite sample. The calculation method is based on the concept of the emergent magnetic field. The particular case of the simplest nontrivial toroidal hopfion with the Hopf index $\|Q_H\|=1$ in the cylindrical magnetic dot is considered and dependencies of the gyrovector components on the dot sizes are calculated. Nonzero hopfion gyrovector is important in any description of the hopfion dynamics within the collective coordinate Thieles approach. |
| title | Emergent Magnetic Field and Nonzero Gyrovector of the Toroidal Magnetic Hopfion |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2405.02262 |