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An entropic simulational study of the spin-1 Baxter–Wu model in a crystal field

L.N. Jorge, P.H.L. Martins, C.J. DaSilva, L.S. Ferreira and A.A. Caparica

Physica A: Statistical Mechanics and its Applications, 2021, vol. 576, issue C

Abstract: We investigate the critical behavior of the two-dimensional spin-1 Baxter–Wu model in a crystal field using entropic sampling simulations, based on the Wang–Landau method, with the joint density of states. We obtain the temperature–crystal field phase diagram, which includes a tetracritical line ending at a pentacritical point. A finite-size scaling analysis of the maximum of the specific heat, while changing the crystal field anisotropy, is used to obtain a precise location of the pentacritical point. Our results give the critical temperature and crystal field as Tpc=0.98030(10) and Dpc=1.68288(62). We also detect that at the first-order region of the phase diagram, the specific heat exhibits a double peak structure as in the Schottky-like anomaly, which is associated with an order–disorder transition.

Keywords: Baxter–Wu model; Entropic sampling simulations; Joint density of states; Phase diagram; Pentacritical point; Schottky-like anomaly (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:576:y:2021:i:c:s0378437121003447

DOI: 10.1016/j.physa.2021.126071

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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