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Selfduality for coupled Potts models on the triangular lattice

Jean-Francois Richard·Jesper Lykke Jacobsen·Marco Picco
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Abstract

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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Jean-Francois Richard, Jesper Lykke Jacobsen, Marco Picco. 2004-02-16. Selfduality for coupled Potts models on the triangular lattice. https://doi.org/10.1088/0305-4470%2F37%2F18%2F003

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