Yang-Lee Zeros of the Triangular Ising Antiferromagnets

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.

References in corpus (6)

• Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram
• Understanding and Improving the Wang-Landau Algorithm
• Avoiding Boundary Effects in Wang-Landau Sampling
• Critical frontier of the triangular antiferromagnet in a field
• Density of Partition Function Zeroes and Phase Transition Strength
• Field-induced Berezinskii-Kosterlitz-Thouless transition and string-density plateau in the anisotropic triangular antiferromagnetic Ising model

Cited by in corpus (5)

• Location of the Lee-Yang zeros and absence of phase transitions in some Ising spin systems
• Critical line of the triangular Ising antiferromagnet in a field from a $C_3$-symmetric corner transfer matrix algorithm
• Lee-Yang zeros in the Rydberg atoms
• Yang-Lee Zeros of Certain Antiferromagnetic Models
• Yang-Lee Zeros of 2D Nearest-Neighbor Antiferromagnetic Ising Models: A Numerical Linked Cluster Expansion Study