Universality in the two-dimensional dilute Baxter-Wu model

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Vasilopoulos A., Fytas N. G., Vatansever E., Malakis A., Weigel M.

PHYSICAL REVIEW E, vol.105, no.5, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 105 Issue: 5
  • Publication Date: 2022
  • Doi Number: 10.1103/physreve.105.054143
  • Journal Name: PHYSICAL REVIEW E
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Chemical Abstracts Core, Compendex, EMBASE, INSPEC, MEDLINE, zbMATH
  • Dokuz Eylül University Affiliated: Yes

Abstract

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