Lee-Yang-zero ratio method in three-dimensional Ising model
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.
Cite
@article{arxiv.2508.20422,
title = {Lee-Yang-zero ratio method in three-dimensional Ising model},
author = {Tatsuya Wada and Masakiyo Kitazawa and Kazuyuki Kanaya},
journal= {arXiv preprint arXiv:2508.20422},
year = {2026}
}
Comments
29 pages, 8 figures