Yang–Lee zeros of triangular Ising antiferromagnets

✍ Scribed by Chi-Ok Hwang; Seung-Yeon Kim

• Book ID: 104080618
• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 243 KB
• Volume: 389
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2010.08.050

✦ Synopsis

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.