Nonabelian ferromagnets with three-body interactions
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914028565037056 |
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| author | Polychronakos, Alexios P. Sfetsos, Konstantinos |
| author_facet | Polychronakos, Alexios P. Sfetsos, Konstantinos |
| contents | We study the thermodynamics of nonabelian ferromagnets consisting of atoms in the fundamental representation of $SU(N)$ and interacting with two-body and three-body interactions. Using a mean field approach, we uncover an intricate phase structure, depending on the relative strength and sign of the two-body and three-body coupling constants. In the case where two-body interactions are ferromagnetic and three-body ones are antiferromagnetic, we uncover a rich cascade of phase transitions, the appearance of phases with two distinct polarization directions being the most striking novel feature. Our results are relevant to magnetic systems where higher-body interactions cannot be neglected. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_19916 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonabelian ferromagnets with three-body interactions Polychronakos, Alexios P. Sfetsos, Konstantinos High Energy Physics - Theory Statistical Mechanics Mathematical Physics We study the thermodynamics of nonabelian ferromagnets consisting of atoms in the fundamental representation of $SU(N)$ and interacting with two-body and three-body interactions. Using a mean field approach, we uncover an intricate phase structure, depending on the relative strength and sign of the two-body and three-body coupling constants. In the case where two-body interactions are ferromagnetic and three-body ones are antiferromagnetic, we uncover a rich cascade of phase transitions, the appearance of phases with two distinct polarization directions being the most striking novel feature. Our results are relevant to magnetic systems where higher-body interactions cannot be neglected. |
| title | Nonabelian ferromagnets with three-body interactions |
| topic | High Energy Physics - Theory Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2506.19916 |