First-order and Berezinskii-Kosterlitz-Thouless phase transitions in two-dimensional generalized XY models
Statistical Mechanics
2024-10-02 v2
Abstract
The aim of this paper is to illustrate that generalized two-dimensional XY models (proposed by Romano and Zagrebnov) may also support a first-order phase transition. Two approaches are employed to accurately determine the critical parameter at which such a transition takes place. 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 mechanisms governing such transitions are presented, along with an estimation of the critical temperatures.
Cite
@article{arxiv.2406.04059,
title = {First-order and Berezinskii-Kosterlitz-Thouless phase transitions in two-dimensional generalized XY models},
author = {P. A. da Silva and R. J. Campos-Lopes and A. R. Pereira},
journal= {arXiv preprint arXiv:2406.04059},
year = {2024}
}