Field-induced Kosterlitz–Thouless transition in critical triangular-lattice antiferromagnets

Hwang Chi-Ok () and Kim Seung-Yeon ()
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Hwang Chi-Ok: Division of Liberal Arts and Sciences, GIST College, Gwangju Institute of Science and Technology, Gwangju Metropolitan City 500-712, Korea
Kim Seung-Yeon: School of Liberal Arts and Sciences, Korea National University of Transportation, Chungju 380-702, Korea

Monte Carlo Methods and Applications, 2014, vol. 20, issue 3, 217-221

Abstract: In this paper, we directly obtain from Monte Carlo simulations the critical magnetic field H=0.29(3)${H=0.29(3)}$ of the field-induced Kosterlitz–Thouless transition in the critical triangular-lattice antiferromagnet. The Yang–Lee zero approach clearly shows the field-induced Kosterlitz–Thouless transition and the critical magnetic field agrees well with the results from other indirect methods. Also, the reduced zero-field susceptibility gives us the same conclusion. For the investigations, we used the exact and approximate ground densities of states as a function of magnetization by using both the exact enumeration method for small systems (up to 9×9 lattices) and the Wang–Landau Monte Carlo algorithm for large systems (up to 30×30 lattices).

Keywords: Triangular-lattice; Kosterlitz–Thouless transition; Wang–Landau algorithm; Yang–Lee zero (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1515/mcma-2013-0027

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