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Physics Letters A

Monte Carlo study of Potts versus Kosterlitz-Thouless transitions in a 2D generalized XY model

Duong Xuan Nui, Nguyễn Hữu Cường, Nguyen Duc Tung, Phạm Thành Huy, P. N. A. Huy, Nguyen Duc Trung Kien, Dao Xuan Viet

Published Aug 23, 2023• 5 citations
Publisher
DOI
10.1016/j.physleta.2023.129084

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This is a set of notes recalling some of the most important results on the XY model from the ground up. They are meant for a junior researcher wanting to get accustomed to the Kosterlitz-Thouless phase transition in the context of the 2D classical XY model. The connection to the 2D Coulomb gas is presented in detail, as well as the renormalization group flow obtained from this dual representation. A numerical Monte-Carlo approach to the classical XY model is presented. Finally, two physical setting that realize the celebrated Kosterlitz-Thouless phase transition are presented: superfluid and liquid crystal thin films.