Fokker-Planck approach to thermal fluctuations in antiferromagnetic systems
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2025
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| author | Martello, E. Falci, G. A. Paladino, E. Pellegrino, F. M. D. |
| author_facet | Martello, E. Falci, G. A. Paladino, E. Pellegrino, F. M. D. |
| contents | We develop a Fokker-Planck approach to describe the dynamics of staggered magnetization and thermal fluctuations in a two-dimensional antiferromagnetic system with uniaxial anisotropy. Beginning with a classical model for the antiferromagnetic system, we incorporate a Landau-Lifshitz-Gilbert equation augmented by Langevin fields to account for thermal fluctuations, and we derive the Fokker-Planck equation governing the probability distribution function of the spin configuration. Employing the mean-field approximation, we derive the equations of motion for the spin polarization and the two-time spin-spin correlation functions. The methodology is applied to the study of spin-wave dynamics and to the formulation of a phenomenological model for resistance fluctuations in two-dimensional antiferromagnetic semiconductors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11341 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fokker-Planck approach to thermal fluctuations in antiferromagnetic systems Martello, E. Falci, G. A. Paladino, E. Pellegrino, F. M. D. Mesoscale and Nanoscale Physics Materials Science Other Condensed Matter We develop a Fokker-Planck approach to describe the dynamics of staggered magnetization and thermal fluctuations in a two-dimensional antiferromagnetic system with uniaxial anisotropy. Beginning with a classical model for the antiferromagnetic system, we incorporate a Landau-Lifshitz-Gilbert equation augmented by Langevin fields to account for thermal fluctuations, and we derive the Fokker-Planck equation governing the probability distribution function of the spin configuration. Employing the mean-field approximation, we derive the equations of motion for the spin polarization and the two-time spin-spin correlation functions. The methodology is applied to the study of spin-wave dynamics and to the formulation of a phenomenological model for resistance fluctuations in two-dimensional antiferromagnetic semiconductors. |
| title | Fokker-Planck approach to thermal fluctuations in antiferromagnetic systems |
| topic | Mesoscale and Nanoscale Physics Materials Science Other Condensed Matter |
| url | https://arxiv.org/abs/2511.11341 |