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Yang–Lee zeros of triangular Ising antiferromagnets

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  • Hwang, Chi-Ok
  • Kim, Seung-Yeon

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.

Suggested Citation

  • Hwang, Chi-Ok & Kim, Seung-Yeon, 2010. "Yang–Lee zeros of triangular Ising antiferromagnets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(24), pages 5650-5654.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:24:p:5650-5654
    DOI: 10.1016/j.physa.2010.08.050
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    References listed on IDEAS

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    1. Stošić, Borko D. & Sastry, Srikanth & Kostić, Dragan & Milošević, Sava & Eugene Stanley, H., 1996. "Geometric criteria for phase transitions: The Ising model with nearest and next-nearest neighbor interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 349-368.
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