In this paper, using both analytic methods and Monte Carlo simulations with our triangle cluster algorithm, we illustrate the scaling behavior of two possible 4th-order connected energy cumulants across the well-known second and first-order phase transitions of the Baxter–Wu model under zero...

In this work we study an unusual phase transition of the Baxter–Wu model in the presence of an external magnetic field. The model is pure Baxter–Wu, which means that only three-spin interactions are taken into account. We construct a phase diagram on the temperature–field plane based...

In this work we examine the critical finite-size scaling behavior of the energy probability distribution function and its corresponding Binder cumulant at critical point. Based on the results of Monte Carlo simulations at zero external magnetic field using the recently developed triangle-cluster...