Abstract
The Kosterlitz-Thouless (KT) transition [1,2] has attracted much attention in statistical physics. In two dimensions, there exists no long range order in continuous spin systems [3], while the KT phase appears in XY models. In this phase, there is no spontaneous magnetization but the correlation length always diverges. Since the correlation length increases exponentially as the temperature approaches the transition point from disordered phase, it is difficult to analyze large systems easily by equilibrium Monte Carlo simulations [4-6]. Even the transition temperature has been difficult to estimate numerically, the critical exponents still have not investigated much.
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Ozeki, Y., Ito, N. (2004). Numerical Study of Critical Exponents for Kosterlitz-Thouless Transition Systems. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XVI. Springer Proceedings in Physics, vol 95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59293-5_15
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DOI: https://doi.org/10.1007/978-3-642-59293-5_15
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