Phase transitions in self-dual generalizations of the Baxter-Wu model

Details Phase transitions in self-dual generalizations of the Baxter-Wu model Phase transitions in self-dual generalizations of the Baxter-Wu model

2009-09-05

arxiv.org/abs/0909.0994v1

Nucl. Phys. B 827 [FS] 406 (2010)

Physics

Condensed Matter

Statistical Mechanics

29 pages, 13 figures

Scientific paper

10.1016/j.nuclphysb.2009.10.014

We study two types of generalized Baxter-Wu models, by means of transfer-matrix and Monte Carlo techniques. The first generalization allows for different couplings in the up- and down triangles, and the second generalization is to a $q$-state spin model with three-spin interactions. Both generalizations lead to self-dual models, so that the probable locations of the phase transitions follow. Our numerical analysis confirms that phase transitions occur at the self-dual points. For both generalizations of the Baxter-Wu model, the phase transitions appear to be discontinuous.

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