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

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

2004-03-17

arxiv.org/abs/cond-mat/0403426v1

PRB 69, 104103 (2004)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 1 figure, 5 tables

Scientific paper

10.1103/PhysRevB.69.104103

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.

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