Selfduality for coupled Potts models on the triangular lattice

Details Selfduality for coupled Potts models on the triangular lattice Selfduality for coupled Potts models on the triangular lattice

2004-02-16

arxiv.org/abs/cond-mat/0402420v1

Journal of Physics A 37 (2004) 4939

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1088/0305-4470/37/18/003

We present selfdual manifolds for coupled Potts models on the triangular lattice. We exploit two different techniques: duality followed by decimation, and mapping to a related loop model. The latter technique is found to be superior, and it allows to include three-spin couplings. Starting from three coupled models, such couplings are necessary for generating selfdual solutions. A numerical study of the case of two coupled models leads to the identification of novel critical points.

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