Adjoint ferromagnets
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912913272340480 |
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| author | López-Suárez, Joaquín Polychronakos, Alexios P. Sfetsos, Konstantinos |
| author_facet | López-Suárez, Joaquín Polychronakos, Alexios P. Sfetsos, Konstantinos |
| contents | We derive the phase structure and thermodynamics of ferromagnets consisting of elementary magnets carrying the adjoint representation of $SU(N)$ and coupled through two-body quadratic interactions. Such systems have a continuous $SU(N)$ symmetry as well as a discrete conjugation symmetry. We uncover a rich spectrum of phases and transitions, involving a paramagnetic and two distinct ferromagnetic phases that can coexist as stable and metastable states in different combinations over a range of temperatures. The ferromagnetic phases break $SU(N)$ invariance in various channels, leading to spontaneous magnetization. Interestingly, the conjugation symmetry also breaks over a range of temperatures and group ranks $N$, providing a realization of a spontaneously broken discrete symmetry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11776 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Adjoint ferromagnets López-Suárez, Joaquín Polychronakos, Alexios P. Sfetsos, Konstantinos Statistical Mechanics High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems 82B20 (primary) 82B26, 20C35 (secondary) We derive the phase structure and thermodynamics of ferromagnets consisting of elementary magnets carrying the adjoint representation of $SU(N)$ and coupled through two-body quadratic interactions. Such systems have a continuous $SU(N)$ symmetry as well as a discrete conjugation symmetry. We uncover a rich spectrum of phases and transitions, involving a paramagnetic and two distinct ferromagnetic phases that can coexist as stable and metastable states in different combinations over a range of temperatures. The ferromagnetic phases break $SU(N)$ invariance in various channels, leading to spontaneous magnetization. Interestingly, the conjugation symmetry also breaks over a range of temperatures and group ranks $N$, providing a realization of a spontaneously broken discrete symmetry. |
| title | Adjoint ferromagnets |
| topic | Statistical Mechanics High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems 82B20 (primary) 82B26, 20C35 (secondary) |
| url | https://arxiv.org/abs/2510.11776 |