Universality in the two-dimensional dilute Baxter-Wu model

We study the question of universality in the two-dimensional spin-1 Baxter-Wu model in the presence of a crystal field Δ. We employ extensive numerical simulations of two types, providing us with complementary results: Wang-Landau sampling at fixed values of Δ and a parallelized variant of the multi...

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Published in:Physical review. E 2022-05, Vol.105 (5-1), p.054143-054143, Article 054143
Main Authors: Vasilopoulos, Alexandros, Fytas, Nikolaos G, Vatansever, Erol, Malakis, Anastasios, Weigel, Martin
Format: Article
Language:English
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Summary:We study the question of universality in the two-dimensional spin-1 Baxter-Wu model in the presence of a crystal field Δ. We employ extensive numerical simulations of two types, providing us with complementary results: Wang-Landau sampling at fixed values of Δ and a parallelized variant of the multicanonical approach performed at constant temperature T. A detailed finite-size scaling analysis in the regime of second-order phase transitions in the (Δ,T) phase diagram indicates that the transition belongs to the universality class of the four-state Potts model. Previous controversies with respect to the nature of the transition are discussed and attributed to the presence of strong finite-size effects, especially as one approaches the pentacritical point of the model.
ISSN:2470-0045
2470-0053
DOI:10.1103/PhysRevE.105.054143