Yang-Lee Zeros of the Triangular Ising Antiferromagnets

TL;DR

This paper investigates the phase transition properties of Yang-Lee zeros in triangular-lattice Ising antiferromagnets using exact enumeration and Monte Carlo methods to analyze densities of states and magnetic exponents.

Contribution

It provides new insights into the Yang-Lee zeros and phase transition behavior of triangular Ising antiferromagnets through combined computational approaches.

Findings

Exact and approximate densities of states g(M,E) obtained

Magnetic exponents characterized at various temperatures

Phase transition properties of Yang-Lee zeros analyzed

Abstract

Using both the exact enumeration method (microcanonical transfer matrix) for a small system (L = 9) and the Wang-Landau Monte Carlo algorithm for large systems to L = 30, we obtain the exact and approximate densities of states g(M,E), as a function of magnetization M and exchange energy E, for the triangular-lattice Ising model. Based on the density of states g(M,E), we investigate the phase transition properties of Yang-Lee zeros for the triangular Ising antiferromagnets and obtain the magnetic exponents at various temperatures.