Potts model on recursive lattices: some new exact results
Centro de Estudios Científicos (CECS), 5110466
2 Facultad de Física, Pontificia Universidad Católica de Chile, Casilla 306, 22 Santiago, Chile
Received: 19 December 2011
Published online: 21 March 2012
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 Ly = 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 Ly = 2,3,4,5. As further examples we consider two lattices with different type of regular symmetry: a strip with alternating layers of width Ly = 3 and Ly = 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.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2012