Locating Critical Points Using Ratios of Lee-Yang Zeros
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 critical point in the three-dimensional three-state Potts model with a nonzero external field.
Authors
- K. Kanaya
- Masakiyo Kitazawa (ORCID: https://orcid.org/0000-0002-5210-7649)
- Tatsuya Wada
Institutions
- University of Tsukuba (JP)
- Kyoto University (JP)
- Japan Proton Accelerator Research Complex (JP)
- Instituto de Física Teórica (ES)
- Institute of Nuclear and Particle Physics (GR)
- Institute of Particle and Nuclear Studies
- Yukawa Institute for Theoretical Physics (JP)
Publication Details
- Journal
- Physical Review Letters
- Published
- 2025-04-24
- DOI
- https://doi.org/10.1103/physrevlett.134.162302
- Citations
- 2
- Primary Topic
- Statistical Mechanics and Entropy
- Type
- article
- Field-Weighted Citation Impact
- 2.65
Funders
- University of Tsukuba
- Yukawa Institute for Theoretical Physics, Kyoto University
- Japan Society for the Promotion of Science
- Cybermedia Center, Osaka University