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26 April 2024
 
  » arxiv » 1011.3321

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Phase transition of two-dimensional generalized XY model
Yukihiro Komura ; Yutaka Okabe ;
Date 15 Nov 2010
AbstractWe study the two-dimensional generalized XY model that depends on an integer $q$ by the Monte Carlo method. This model was recently proposed by Romano and Zagrebnov. We find a single Kosterlitz-Thouless (KT) transition for all values of $q$, in contrast with the previous speculation that there may be two transitions, one a regular KT transition and another a first-order transition at a higher temperature. We show the universality of the KT transitions by comparing the universal finite-size scaling behaviors at different values of $q$ without assuming a specific universal form in terms of the KT transition temperature $T_{ m KT}$.
Source arXiv, 1011.3321
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