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

## TL;DR

This paper applies the Lee-Yang-zero ratio method to the 3D Ising model using Monte Carlo simulations, demonstrating its effectiveness in locating the critical point and providing universal critical values.

## Contribution

It introduces and validates the Lee-Yang-zero ratio method as an effective tool for identifying critical points, with advantages over traditional methods.

## Key findings

- LYZR method is as effective as Binder-cumulant method
- Universal Lee-Yang-zero ratios at criticality determined
- Single Lee-Yang zero approach also useful

## 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.