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

Chi-Ok Hwang; Seung-Yeon Kim

doi:10.1515/mcma-2013-0027

Article

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

Chi-Ok Hwang and Seung-Yeon Kim

Published/Copyright: July 24, 2014

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From the journal Monte Carlo Methods and Applications Volume 20 Issue 3

Abstract

In this paper, we directly obtain from Monte Carlo simulations the critical magnetic field 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

MSC: 68Q87; 82B26; 82B80

Funding source: National Research Foundation of Korea(NRF)

Award Identifier / Grant number: 2012R1A1A2003025

Received: 2013-8-24

Accepted: 2014-7-17

Published Online: 2014-7-24

Published in Print: 2014-9-1

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Articles in the same Issue

https://doi.org/10.1515/mcma-2013-0027

Keywords for this article

Triangular-lattice; Kosterlitz–Thouless transition; Wang–Landau algorithm; Yang–Lee zero