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.
Fields of Study & Subjects
Complex Network Analysis Techniques
Opinion Dynamics and Social Influence
Publication details
- Journal / source
- Journal of the Physical Society of Japan
- Publisher
- Physical Society of Japan
- Volume
- 95
- Issue
- 2
- Pages
- 24002
- Publication date
- 20 January 2026
- Language
- EN