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- W4367060488 abstract "We investigate the critical behavior of the two-dimensional spin-$1$ Baxter-Wu model in the presence of a crystal-field coupling $Delta$ with the goal of determining the universality class of transitions along the second-order part of the transition line as one approaches the putative location of the multicritical point. We employ extensive Monte Carlo simulations using two different methodologies: (i) a study of the zeros of the energy probability distribution, closely related to the Fisher zeros of the partition function, and (ii) the well-established multicanonical approach employed to study the probability distribution of the crystal-field energy. A detailed finite-size scaling analysis in the regime of second-order phase transitions in the $(Delta, T)$ phase diagram supports previous claims that the transition belongs to the universality class of the $4$-state Potts model. For positive values of $Delta$, we observe the presence of strong finite-size effects, indicative of crossover effects due to the proximity of the first-order part of the transition line. Finally, we demonstrate how a combination of cluster and heat-bath updates allows one to equilibrate larger systems, and we demonstrate the potential of this approach for resolving the ambiguities observed in the regime of $Delta gtrsim 0$." @default.
- W4367060488 created "2023-04-27" @default.
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- W4367060488 date "2023-04-24" @default.
- W4367060488 modified "2023-09-26" @default.
- W4367060488 title "Two-dimensional dilute Baxter-Wu model: Transition order and universality" @default.
- W4367060488 doi "https://doi.org/10.1103/physreve.108.024140" @default.
- W4367060488 hasPublicationYear "2023" @default.
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