Monte Carlo Study of the Phase Transition of the $XY$ Model on a Diamond Lattice
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| Format: | Preprint |
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2026
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| _version_ | 1866913047119921152 |
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| author | Watanabe, Sena Motome, Yukitoshi Watanabe, Haruki |
| author_facet | Watanabe, Sena Motome, Yukitoshi Watanabe, Haruki |
| contents | We study the phase transition of the classical $XY$ model on a diamond lattice by Monte Carlo simulations using the Wolff cluster algorithm. Finite-size scaling (FSS) analysis of the Binder cumulant and the second-moment correlation length ratio $ξ_{2\rm nd}/L$ yields $T_c = 1.30036(1)$ and $ν= 0.671(6)$. Data collapse of both quantities confirms the three-dimensional $XY$ universality class. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_17939 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Monte Carlo Study of the Phase Transition of the $XY$ Model on a Diamond Lattice Watanabe, Sena Motome, Yukitoshi Watanabe, Haruki Strongly Correlated Electrons Statistical Mechanics We study the phase transition of the classical $XY$ model on a diamond lattice by Monte Carlo simulations using the Wolff cluster algorithm. Finite-size scaling (FSS) analysis of the Binder cumulant and the second-moment correlation length ratio $ξ_{2\rm nd}/L$ yields $T_c = 1.30036(1)$ and $ν= 0.671(6)$. Data collapse of both quantities confirms the three-dimensional $XY$ universality class. |
| title | Monte Carlo Study of the Phase Transition of the $XY$ Model on a Diamond Lattice |
| topic | Strongly Correlated Electrons Statistical Mechanics |
| url | https://arxiv.org/abs/2604.17939 |