Color symmetry and ferromagnetism in Potts spin glass
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909986971451392 |
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| author | Chen, Hong-Bin |
| author_facet | Chen, Hong-Bin |
| contents | We consider the Potts spin glass with additional ferromagnetic interaction parametrized by $t$. It has long been observed that the Potts color symmetry breaking for the spin glass order parameter is closely related to the ferromagnetic phase transition. To clarify this, we identify a single critical value $t_\mathrm{c}$, which marks the onset of both color symmetry breaking and the transition to ferromagnetism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20607 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Color symmetry and ferromagnetism in Potts spin glass Chen, Hong-Bin Disordered Systems and Neural Networks Mathematical Physics Probability 82B44, 82D30 We consider the Potts spin glass with additional ferromagnetic interaction parametrized by $t$. It has long been observed that the Potts color symmetry breaking for the spin glass order parameter is closely related to the ferromagnetic phase transition. To clarify this, we identify a single critical value $t_\mathrm{c}$, which marks the onset of both color symmetry breaking and the transition to ferromagnetism. |
| title | Color symmetry and ferromagnetism in Potts spin glass |
| topic | Disordered Systems and Neural Networks Mathematical Physics Probability 82B44, 82D30 |
| url | https://arxiv.org/abs/2412.20607 |