Selfduality for coupled Potts models on the triangular lattice
统计力学
2007-05-23 v1
摘要
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.
引用
@article{arxiv.cond-mat/0402420,
title = {Selfduality for coupled Potts models on the triangular lattice},
author = {Jean-Francois Richard and Jesper Lykke Jacobsen and Marco Picco},
journal= {arXiv preprint arXiv:cond-mat/0402420},
year = {2007}
}