Locating Critical Points Using Ratios of Lee-Yang Zeros
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917998234697728 |
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| author | Wada, Tatsuya Kitazawa, Masakiyo Kanaya, Kazuyuki |
| author_facet | Wada, Tatsuya Kitazawa, Masakiyo Kanaya, Kazuyuki |
| contents | We propose a method to numerically determine the location of a critical point in general systems using the finite-size scaling of Lee-Yang zeros. This method makes use of the fact that the ratios of Lee-Yang zeros on various spatial volumes intersect at the critical point. While the method is similar to the Binder-cumulant analysis, it is advantageous in suppressing the finite-volume effects arising from the mixing of variables in general systems. We show that the method works successfully for numerically locating the CP in the three-dimensional three-state Potts model with a nonzero external field. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_19345 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Locating Critical Points Using Ratios of Lee-Yang Zeros Wada, Tatsuya Kitazawa, Masakiyo Kanaya, Kazuyuki High Energy Physics - Lattice Statistical Mechanics High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory We propose a method to numerically determine the location of a critical point in general systems using the finite-size scaling of Lee-Yang zeros. This method makes use of the fact that the ratios of Lee-Yang zeros on various spatial volumes intersect at the critical point. While the method is similar to the Binder-cumulant analysis, it is advantageous in suppressing the finite-volume effects arising from the mixing of variables in general systems. We show that the method works successfully for numerically locating the CP in the three-dimensional three-state Potts model with a nonzero external field. |
| title | Locating Critical Points Using Ratios of Lee-Yang Zeros |
| topic | High Energy Physics - Lattice Statistical Mechanics High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2410.19345 |