Critical behavior of the spin-$1/2$ Baxter-Wu model: Entropic sampling simulations

Abstract

In this work we use a refined entropic sampling technique based on the Wang-Landau method to study the spin-$1/2$ Baxter-Wu model. The static critical exponents were determined as $\alpha =0.6545(68)$, $\beta =0.0818(30)$, $\gamma =1.18193(77)$, and $\nu =0.66341(47)$. The estimate for the critical temperature was $T_c=2.269194(45)$. We compare the present results with those obtained from other well established approaches and we find a startling closeness with the exact values, besides the high precision reached for the critical temperature. We also calculate the coefficients $a$ and $b$ for the divergence of the microcanonical inverse temperature at the ground state achieving an excellent agreement in comparison with the simulation estimates.

arXiv admin note: substantial text overlap with arXiv:1501.03708

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Cited by in corpus (4)

• An entropic simulational study of the spin-$1$ Baxter-Wu model in a crystal field
• The three-dimensional Baxter-Wu Model
• Thoroughly analysis of the phase diagram for the Bell-Lavis model: An entropic simulational study
• Universality in the two-dimensional dilute Baxter-Wu model