Dualities and Topological Classification of the $S=1$ Pyrochlore Spin Ice
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866915867680309248 |
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| author | Watanabe, Sena Motome, Yukitoshi Watanabe, Haruki |
| author_facet | Watanabe, Sena Motome, Yukitoshi Watanabe, Haruki |
| contents | We resolve the phase diagram of the $S=1$ pyrochlore spin ice, which exhibits trivial paramagnetic, U(1) Coulomb, and spin nematic phases. In the monopole-free limit, the system can be effectively mapped onto 3D $XY$ and Ising loop-gas models depending on the spin anisotropy, which provides theoretical estimates for the phase boundaries, while a macroscopic flux vector classifies the topological sectors via geometric parity rules. At finite temperatures, thermal monopoles act as a symmetry-breaking field in both 3D $XY$ and Ising loop-gas pictures, rounding the phase transitions into continuous crossovers. These theoretical findings are corroborated by classical Monte Carlo simulations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_03852 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dualities and Topological Classification of the $S=1$ Pyrochlore Spin Ice Watanabe, Sena Motome, Yukitoshi Watanabe, Haruki Strongly Correlated Electrons Statistical Mechanics We resolve the phase diagram of the $S=1$ pyrochlore spin ice, which exhibits trivial paramagnetic, U(1) Coulomb, and spin nematic phases. In the monopole-free limit, the system can be effectively mapped onto 3D $XY$ and Ising loop-gas models depending on the spin anisotropy, which provides theoretical estimates for the phase boundaries, while a macroscopic flux vector classifies the topological sectors via geometric parity rules. At finite temperatures, thermal monopoles act as a symmetry-breaking field in both 3D $XY$ and Ising loop-gas pictures, rounding the phase transitions into continuous crossovers. These theoretical findings are corroborated by classical Monte Carlo simulations. |
| title | Dualities and Topological Classification of the $S=1$ Pyrochlore Spin Ice |
| topic | Strongly Correlated Electrons Statistical Mechanics |
| url | https://arxiv.org/abs/2603.03852 |