Phase Diagram and Critical Behavior of the Spin-1 Baxter-Wu Model with a Crystal Field

Abstract

The phase diagram and critical behavior of the spin-1 Baxter-Wu model with a crystal field in two dimensions is explored by renormalization group, conventional finite-size scaling and conformal invariance techniques. We found that the phase diagram of this model is qualitatively the same as that of the dilute 4-states Potts model, presenting a multi-critical point for a finite value of the crystal field, in disagreement with previous work based on finite-size calculations. However, our results indicate that the critical exponents vary continuously along the second-order transition line, differently from the expected behavior of the dilute 4-states Potts model.

arXiv comment7 pages, 1 figure, 5 tables

References in corpus (6)

• The Critical Behaviour of the Spin-3/2 Blume-Capel Model in Two Dimensions
• Phenomenological Renormalization Group Methods
• THE SPIN-S BLUME-CAPEL RG FLOW DIAGRAM
• Critical and off-critical studies of the Baxter-Wu model with general toroidal boundary conditions
• Conformal invariance studies of the Baxter-Wu model and a related site-colouring problem
• Tetracritical behaviour in a spin-3/2 quantum chain

Cited by in corpus (7)

• Probability Distribution Function of the Order Parameter: Mixing Fields and Universality
• An entropic simulational study of the spin-$1$ Baxter-Wu model in a crystal field
• Universal energy and magnetisation distributions in the Blume-Capel and Baxter-Wu models
• Two-dimensional dilute Baxter-Wu model: Transition order and universality
• Multiple transitions in an infinite range p-spin random-crystal field Blume Capel model
• Thermodynamic properties and phase diagrams of spin-1 quantum Ising systems with three-spin interactions
• Universality in the two-dimensional dilute Baxter-Wu model