Lee-Yang-zero ratio method in three-dimensional Ising model
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914274219130880 |
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| author | Wada, Tatsuya Kitazawa, Masakiyo Kanaya, Kazuyuki |
| author_facet | Wada, Tatsuya Kitazawa, Masakiyo Kanaya, Kazuyuki |
| contents | By performing Monte Carlo simulations of the three-dimensional Ising model, we apply the recently proposed Lee-Yang-zero ratio (LYZR) method to determine the location of the critical point in this model. We demonstrate that the LYZR method is as powerful as the conventional Binder-cumulant method in studying the critical point, while the LYZR method has the advantage of suppressing the violation of the finite-size scaling and non-linearity near the critical point. We also achieve a precise determination of the values of the LYZRs at the critical point, which are universal numbers. In addition, we propose an alternative method that uses only a single Lee-Yang zero and show that it is also useful for the search for the critical point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20422 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Lee-Yang-zero ratio method in three-dimensional Ising model Wada, Tatsuya Kitazawa, Masakiyo Kanaya, Kazuyuki Statistical Mechanics High Energy Physics - Lattice High Energy Physics - Phenomenology Computational Physics By performing Monte Carlo simulations of the three-dimensional Ising model, we apply the recently proposed Lee-Yang-zero ratio (LYZR) method to determine the location of the critical point in this model. We demonstrate that the LYZR method is as powerful as the conventional Binder-cumulant method in studying the critical point, while the LYZR method has the advantage of suppressing the violation of the finite-size scaling and non-linearity near the critical point. We also achieve a precise determination of the values of the LYZRs at the critical point, which are universal numbers. In addition, we propose an alternative method that uses only a single Lee-Yang zero and show that it is also useful for the search for the critical point. |
| title | Lee-Yang-zero ratio method in three-dimensional Ising model |
| topic | Statistical Mechanics High Energy Physics - Lattice High Energy Physics - Phenomenology Computational Physics |
| url | https://arxiv.org/abs/2508.20422 |