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

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 $α=0.6545(68)$, $β=0.0818(30)$, $γ=1.18193(77)$, and $ν=0.66341(47)$. 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.