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Partition function zeros of the antiferromagnetic Ising model on triangular lattice in the complex temperature plane for nonzero magnetic field
Authors:Seung-Yeon Kim  Chi-Ok Hwang  Jin Min Kim
Affiliation:1. School of Liberal Arts and Sciences, Chungju National University, Chungju 380-702, Republic of Korea;2. Division of Industrial Mathematics, National Institute for Mathematical Sciences, Daejeon 305-340, Republic of Korea;3. Department of Physics and Computer-Aided Molecular Design Research Center, Soongsil University, Seoul 156-743, Republic of Korea
Abstract:The grand partition functions Z(T,B)Z(T,B) of the Ising model on L×LL×L triangular lattices with fully periodic boundary conditions, as a function of temperature T and magnetic field B  , are evaluated exactly for L<12L<12 (using microcanonical transfer matrix) and approximately for L?12L?12 (using Wang–Landau Monte Carlo algorithm). From Z(T,B)Z(T,B), the distributions of the partition function zeros of the triangular-lattice Ising model in the complex temperature plane for real B≠0B0 are obtained and discussed for the first time. The critical points aN(x)aN(x) and the thermal scaling exponents yt(x)yt(x) of the triangular-lattice Ising antiferromagnet, for various values of x=e−2βBx=e2βB, are estimated using the partition function zeros.
Keywords:05.50.+q   05.70.Jk   64.60.Cn   75.50.Ee
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