Communications in Theoretical Physics

From Continuous to First Order Phase Transition in a Generalized XY Model

Tian Wang, T. L. Chen

Published Mar 1, 1993• 0 citations

Abstract

A generalized XY model with interaction is studied by Monte Carlo renormalization group method on two-dimensional random triangle lattice. For , a line of fixed points has been found. It characterizes that there is a Kosterlitz-Thouless phase transition. For , a first order phase transition has been found. Both of them show the relationship between the nature of phase transition and the class of interactions.

DOI: 10.1088/0253-6102/19/2/163

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Communications in Theoretical Physics

From Continuous to First Order Phase Transition in a Generalized XY Model

Tian Wang, T. L. Chen

Published Mar 1, 1993• 0 citations

Publisher

Abstract

DOI: 10.1088/0253-6102/19/2/163

Related papers

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Communications in Theoretical PhysicsJul 1, 19890 citations

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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}

Besides the Berezinskii-Kosterlitz-Thouless phase transition, the two-dimensional generalized XY model, identified by a generalization parameter

q

(as proposed by Romano and Zagrebnov), can also support a first-order phase transition, starting from a critical value

{q}_{c}

. However, the value of

{q}_{c}

at which this transition takes place is unknown. In this paper, we take two approaches to accurately determine the critical parameter

{q}_{c}

. Furthermore, we show that the model is characterized by three distinct regions concerning both first-order and Berezinskii-Kosterlitz-Thouless phase transitions. Finally, the underlying mechanism governing such transitions is presented, along with an estimation of the critical temperatures.