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Critical behavior of the two-dimensional fully frustrated XY model

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Abstract

Critical behavior of the two-dimensional fully frustrated XY model has been investigated with Monte Carlo methods. Based on the dynamic scaling ansatz of the magnetization for temperatures above the transition temperature, the correlating time, spatial correlation length has been extracted. Fitting the correlation length to the exponential singularity assumed for the Kosterlitz–Thouless (KT) transition, the transition temperature T KT and the static exponent ν have been determined. The T KT = 0.45065(3) is one percent or two higher than that estimated from simulations in equilibrium. Moreover, the exponent ν = 0.089(2) is smaller than the theoretical value 0.5.

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Acknowledgments

This work was supported by the Scientific Research Fund of Chongqing Municipal Education Commission under Grant No KJ081207.

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Authors and Affiliations

  1. Chongqing University of Arts and Sciences, Chongqing, 402160, China

    X. Y. Zhao & X. W. Lei

  2. Chongqing Key Laboratory of Micro/Nano Materials Engineering and Technology, Chongqing, 402160, China

    X. W. Lei

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  1. X. Y. Zhao
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  2. X. W. Lei
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Correspondence to X. W. Lei.

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Zhao, X.Y., Lei, X.W. Critical behavior of the two-dimensional fully frustrated XY model. Indian J Phys 86, 137–140 (2012). https://doi.org/10.1007/s12648-012-0021-6

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  • DOI: https://doi.org/10.1007/s12648-012-0021-6

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