Using the Energy probability distribution zeros to obtain the critical properties of the two-dimensional anisotropic Heisenberg model

TL;DR

This study uses energy probability distribution zeros in Monte Carlo simulations to accurately determine the critical properties of the 2D anisotropic Heisenberg model, confirming its Ising universality class across various anisotropies.

Contribution

It introduces a method leveraging energy distribution zeros to precisely analyze critical behavior in the 2D anisotropic Heisenberg model.

Findings

Model exhibits Ising universality class for all anisotropies.

Critical temperature and exponents are accurately determined.

Phase diagram mapped with high precision.

Abstract

In this paper we present a Monte Carlo study of the critical behavior of the easy axis anisotropic Heisenberg spin model in two dimensions. Based on the partial knowledge of the zeros of the energy probability distribution we determine with good precision the phase diagram of the model obtaining the critical temperature and exponents for several values of the anisotropy. Our results indicate that the model is in the Ising universality class for any anisotropy.