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arXiv · 2508.20422

Lee-Yang-zero ratio method in three-dimensional Ising model

Tatsuya Wada·Masakiyo Kitazawa·Kazuyuki Kanaya
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Abstract

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.

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Tatsuya Wada, Masakiyo Kitazawa, Kazuyuki Kanaya. 2025-08-28. Lee-Yang-zero ratio method in three-dimensional Ising model. https://doi.org/10.7566/jpsj.95.024002

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