The three-dimensional Baxter-Wu Model

TL;DR

This paper introduces a three-dimensional Baxter-Wu spin model and uses entropic sampling simulations to identify a first-order phase transition, providing precise estimates of critical temperature and finite-size scaling behavior.

Contribution

It presents the first three-dimensional Baxter-Wu model and characterizes its phase transition using advanced simulation techniques.

Findings

First-order phase transition identified via cumulants

Critical temperature estimated as T_c = 11.377577(39)

Finite-size scaling confirms three-dimensional behavior

Abstract

A classic three-dimensional spin model, based upon the Baxter-Wu scheme, is presented. It is found, by entropic sampling simulations, that the behavior of the energy and magnetization fourth-order cumulants points out to a first order phase transition. A finite-size procedure was performed, confirming that the system scales with the dimensionality d = 3, and yielding a high-resolution estimate of the critical temperature as T c = 11.377577(39).