Field Theory of Linear Spin-Waves in Finite Textured Ferromagnets
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arXiv
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| Format: | Preprint |
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2025
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| author | Valet, Thierry Yamamoto, Kei Pigeau, Benjamin de Loubens, Grégoire Klein, Olivier |
| author_facet | Valet, Thierry Yamamoto, Kei Pigeau, Benjamin de Loubens, Grégoire Klein, Olivier |
| contents | In the context of an ever-expanding experimental and theoretical interest in the magnetization dynamics of mesoscopic magnetic structures, both in the classical and quantum regimes, we formulate a low energy field theory for the linear spin-waves in finite and textured ferromagnets and we perform its constrained canonical quantization. The introduction of a manifestly gauge invariant Lagrangian enables a straightforward application of the Noether's theorem. Taking advantage of this in the context of a broad class of axisymmetric ferromagnets of special conceptual and experimental relevance, a general expression of the conserved and quantized spin-wave total angular momentum is rigorously derived, while separate conservation and quantization of its orbital and spin components are established for a more restricted class of uniaxial exchange ferromagnets. Further particularizing this general framework to the case of axially saturated magnetic thin disks, we develop a semi-analytic theory of the low frequency part of the exchange-dipole azimuthal spin wave spectrum, providing a powerful theoretical platform for the analysis and interpretation of magnetic resonance experiments on magnetic microdots as further demonstrated in a joint paper [arxiv The Orbital Angular Momentum of Azimuthal Spin-Waves] |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_06557 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Field Theory of Linear Spin-Waves in Finite Textured Ferromagnets Valet, Thierry Yamamoto, Kei Pigeau, Benjamin de Loubens, Grégoire Klein, Olivier Mesoscale and Nanoscale Physics In the context of an ever-expanding experimental and theoretical interest in the magnetization dynamics of mesoscopic magnetic structures, both in the classical and quantum regimes, we formulate a low energy field theory for the linear spin-waves in finite and textured ferromagnets and we perform its constrained canonical quantization. The introduction of a manifestly gauge invariant Lagrangian enables a straightforward application of the Noether's theorem. Taking advantage of this in the context of a broad class of axisymmetric ferromagnets of special conceptual and experimental relevance, a general expression of the conserved and quantized spin-wave total angular momentum is rigorously derived, while separate conservation and quantization of its orbital and spin components are established for a more restricted class of uniaxial exchange ferromagnets. Further particularizing this general framework to the case of axially saturated magnetic thin disks, we develop a semi-analytic theory of the low frequency part of the exchange-dipole azimuthal spin wave spectrum, providing a powerful theoretical platform for the analysis and interpretation of magnetic resonance experiments on magnetic microdots as further demonstrated in a joint paper [arxiv The Orbital Angular Momentum of Azimuthal Spin-Waves] |
| title | Field Theory of Linear Spin-Waves in Finite Textured Ferromagnets |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2503.06557 |