On the use of the energy probability distribution zeros in the study of phase transitions

TL;DR

This paper discusses the use of energy probability distribution zeros to accurately identify phase transition temperatures, detailing an iterative method and addressing convergence issues in specific models.

Contribution

It introduces an iterative approach based on energy distribution zeros for locating phase transitions and discusses solutions to convergence problems.

Findings

Effective in locating phase transition temperatures

Addresses convergence issues in specific models

Provides detailed methodology and solutions

Abstract

This contribution is devoted to cover some technical aspects related to the use of the recently proposed energy probability distribution zeros in the study of phase transitions. This method is based on the partial knowledge of the partition function zeros and has been shown to be extremely efficient to precisely locate phase transition temperatures. It is based on an iterative method in such a way that the transition temperature can be approached at will. The iterative method will be detailed and some convergence issues that has been observed in its application to the 2D Ising model and to an artificial spin ice model will be shown, together with ways to circumvent them.