Monte Carlo renormalization group studies of the Baxter-Wu model in the presence of an external magnetic field

Abstract

In the present work we use the well known Monte Carlo Renormalization Group method to study the phase transition of the Baxter-Wu model in the presence of a negative external magnetic field. We find that the critical exponent ν is equal to 0.80±0.02, while the ratio γv is 0.40 ± 0.05. Our results are consistent to all scaling equalities, including the hyperscaling relation, within statistical errors. The validity of two usual order-parameters is also checked.