Yang–Lee zeros of triangular Ising antiferromagnets

Chi-Ok Hwang and Seung-Yeon Kim

Physica A: Statistical Mechanics and its Applications, 2010, vol. 389, issue 24, 5650-5654

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−2β 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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:389:y:2010:i:24:p:5650-5654

DOI: 10.1016/j.physa.2010.08.050

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