Wednesday, May 9, 2012

0912.4705 (Pedro D. Alvarez et al.)

Potts model on recursive lattices: some new exact results    [PDF]

Pedro D. Alvarez, Fabrizio Canfora, Sebastian A. Reyes, Simon Riquelme
We compute the partition function of the Potts model with arbitrary values of $q$ and temperature on some strip lattices. We consider strips of width $L_y=2$, for three different lattices: square, diced and `shortest-path' (to be defined in the text). We also get the exact solution for strips of the Kagome lattice for widths $L_y=2,3,4,5$. As further examples we consider two lattices with different type of regular symmetry: a strip with alternating layers of width $L_y=3$ and $L_y=m+2$, and a strip with variable width. Finally we make some remarks on the Fisher zeros for the Kagome lattice and their large q-limit.
View original: http://arxiv.org/abs/0912.4705

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