Universality in the two-dimensional dilute Baxter-Wu model

Alexandros Vasilopoulos, Nikolaos Fytas, Erol Vatansever, Anastasios Malakis, Martin Weigel

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    Abstract

    We study the question of universality in the two-dimensional spin-$1$ Baxter-Wu model in the presence of a crystal field $\Delta$. We employ extensive numerical simulations of two types, providing us with complementary results: Wang-Landau sampling at fixed values of $\Delta$ 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 $(\Delta, T)$ phase diagram indicates that the transition belongs to the universality class of the $4$-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.
    Original languageEnglish
    Article number054143
    Pages (from-to)(In-Press)
    Number of pages10
    JournalPhysical Review E
    Volume105
    Issue number5
    Early online date25 May 2022
    DOIs
    Publication statusE-pub ahead of print - 25 May 2022

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