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arXiv · 1011.3321

Phase transition of two-dimensional generalized XY model

Yukihiro Komura·Yutaka Okabe
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Abstract

We 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 $T_{\rm KT}$.

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Yukihiro Komura, Yutaka Okabe. 2010-12-01. Phase transition of two-dimensional generalized XY model. https://doi.org/10.1088/1751-8113%2F44%2F1%2F015002

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