Micromagnetic formalism for magnetic multipoles
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866912186331299840 |
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| author | Yoo, Myoung-Woo Hoffmann, Axel |
| author_facet | Yoo, Myoung-Woo Hoffmann, Axel |
| contents | Cluster magnetic multipoles are order parameters that describe the symmetry of spin arrangements in magnetic materials. High-order multipoles are particularly important in non-collinear antiferromagnets, where they determine key physical properties such as the anomalous Hall effect and the magneto-optical Kerr effect. Although non-uniform multipole states have been observed at the micrometer scale, their mesoscopic properties remain largely unexplored. In this work, we develop a general micromagnetic formalism for cluster magnetic multipoles, enabling the study of the spin dynamics in non-uniform multipole systems. As an example, we apply this formalism to investigate magnetic-octupole domain-wall dynamics in the non-collinear antiferromagnet Mn3Sn. Our results capture key features of domain-wall motion, including deformation and the emergence of effective inertial mass. This study provides a general framework for studying the dynamics of high-order cluster magnetic multipoles, which is essential for determining the mesoscopic physical properties of non-collinear magnetic materials. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_07513 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Micromagnetic formalism for magnetic multipoles Yoo, Myoung-Woo Hoffmann, Axel Mesoscale and Nanoscale Physics Materials Science Cluster magnetic multipoles are order parameters that describe the symmetry of spin arrangements in magnetic materials. High-order multipoles are particularly important in non-collinear antiferromagnets, where they determine key physical properties such as the anomalous Hall effect and the magneto-optical Kerr effect. Although non-uniform multipole states have been observed at the micrometer scale, their mesoscopic properties remain largely unexplored. In this work, we develop a general micromagnetic formalism for cluster magnetic multipoles, enabling the study of the spin dynamics in non-uniform multipole systems. As an example, we apply this formalism to investigate magnetic-octupole domain-wall dynamics in the non-collinear antiferromagnet Mn3Sn. Our results capture key features of domain-wall motion, including deformation and the emergence of effective inertial mass. This study provides a general framework for studying the dynamics of high-order cluster magnetic multipoles, which is essential for determining the mesoscopic physical properties of non-collinear magnetic materials. |
| title | Micromagnetic formalism for magnetic multipoles |
| topic | Mesoscale and Nanoscale Physics Materials Science |
| url | https://arxiv.org/abs/2501.07513 |