Partition function zeros of the antiferromagnetic Ising model on triangular lattice in the complex temperature plane for nonzero magnetic field |
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Authors: | Seung-Yeon Kim Chi-Ok Hwang Jin Min Kim |
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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 |
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Abstract: | The grand partition functions Z(T,B) of the Ising model on L×L triangular lattices with fully periodic boundary conditions, as a function of temperature T and magnetic field B , are evaluated exactly for L<12 (using microcanonical transfer matrix) and approximately for L?12 (using Wang–Landau Monte Carlo algorithm). From Z(T,B), the distributions of the partition function zeros of the triangular-lattice Ising model in the complex temperature plane for real B≠0 are obtained and discussed for the first time. The critical points aN(x) and the thermal scaling exponents yt(x) of the triangular-lattice Ising antiferromagnet, for various values of x=e−2βB, are estimated using the partition function zeros. |
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Keywords: | 05.50.+q 05.70.Jk 64.60.Cn 75.50.Ee |
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