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

Abstract

We investigate the critical behavior of the two-dimensional spin-$1$ Baxter-Wu model in a crystal field using entropic sampling simulations 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 $T_{pc}=0.98030(10)$ and $D_{pc}=1.68288(62)$. 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.

arXiv comment7 pages. 7 figures

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Cited by in corpus (6)

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• Two-dimensional dilute Baxter-Wu model: Transition order and universality
• Multicanonical simulations of the 2D spin-$1$ Baxter-Wu model in a crystal field
• Multiple transitions in an infinite range p-spin random-crystal field Blume Capel model
• Rotational symmetry breaking potential for two-dimensional magnets
• Universality in the two-dimensional dilute Baxter-Wu model