Abstract
In our previous research, by combining both the exact enumeration method (microcanonical transfer matrix) for a small system ( L = 9 ) with the Wang–Landau Monte Carlo algorithm for large systems (to L = 30 ) we obtained the exact and approximate densities of states g ( M , E ) , as a function of the magnetization M and exchange energy E , for a triangular-lattice Ising model. In this paper, based on the density of states g ( M , E ) , the precise distribution of the Yang–Lee zeros of triangular-lattice Ising antiferromagnets is obtained in a uniform magnetic field as a function of temperature a = e − 2 β for a 9×9 lattice system. Also, the feasibility of the Yang–Lee zero approach combined with the Wang–Landau algorithm is demonstrated; as a result, we obtained the magnetic exponents for triangular Ising antiferromagnets at various temperatures.
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