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

Author

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

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.

Suggested Citation

  • Jorge, L.N. & Martins, P.H.L. & DaSilva, C.J. & Ferreira, L.S. & Caparica, A.A., 2021. "An entropic simulational study of the spin-1 Baxter–Wu model in a crystal field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 576(C).
    • Handle: RePEc:eee:phsmap:v:576:y:2021:i:c:s0378437121003447
    DOI: 10.1016/j.physa.2021.126071
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    References listed on IDEAS

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    1. Žukovič, M. & Bobák, A., 2010. "Phase diagram of a mixed spin-1 and spin-3/2 Ising ferrimagnet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(23), pages 5402-5407.
    2. Jorge, L.N. & Ferreira, L.S. & Caparica, A.A., 2020. "On the order of the phase transition in the spin-1 Baxter–Wu model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(C).
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