Scaling in the vicinity of the four-state Potts fixed point

Abstract

We study a self-dual generalization of the Baxter-Wu model, employing results obtained by transfer matrix calculations of the magnetic scaling dimension and the free energy. While the pure critical Baxter-Wu model displays the critical behavior of the four-state Potts fixed point in two dimensions, in the sense that logarithmic corrections are absent, the introduction of different couplings in the up- and down triangles moves the model away from this fixed point, so that logarithmic corrections appear. Real couplings move the model into the first-order range, away from the behavior displayed by the nearest-neighbor, four-state Potts model. We also use complex couplings, which bring the model in the opposite direction characterized by the same type of logarithmic corrections as present in the four-state Potts model. Our finite-size analysis confirms in detail the existing renormalization theory describing the immediate vicinity of the four-state Potts fixed point.

arXiv comment19 pages, 7 figures

References in corpus (3)

• Logarithmic Corrections and Finite-Size Scaling in the Two-Dimensional 4-State Potts Model
• Phase transitions in self-dual generalizations of the Baxter-Wu model
• Equivalent-neighbor Potts models in two dimensions

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• Unusual changeover in the transition nature of local-interaction Potts models
• Probing the Critical Behavior of a Sign-Problematic Model with Monte Carlo Simulations