Phase transition of two-dimensional generalized XY model

Details Phase transition of two-dimensional generalized XY model Phase transition of two-dimensional generalized XY model

2010-11-15

arxiv.org/abs/1011.3321v2

J. Phys. A: Math. Theor. 44 (2010) 015002

Physics

Computational Physics

Scientific paper

10.1088/1751-8113/44/1/015002

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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