Double Potts chain and exact results for some two-dimensional models
Statistical Mechanics
2009-11-07 v1
Abstract
A closed-form exact analytical solution for the q-state Potts model on a ladder 2 x oo with arbitrary two-, three-, and four-site interactions in a unit cell is presented. Using the obtained solution it is shown that the finite-size internal energy equation yields an accurate value of the critical temperature for the triangular Potts lattice with three-site interactions in alternate triangular faces. It is argued that the above equation is exact at least for self-dual models on isotropic lattices.
Keywords
Cite
@article{arxiv.cond-mat/0111401,
title = {Double Potts chain and exact results for some two-dimensional models},
author = {M. A. Yurishchev},
journal= {arXiv preprint arXiv:cond-mat/0111401},
year = {2009}
}
Comments
13 pages in latex and 2 ps figures. preprint ICTP IC/2000/176; ZhETF 120 (2001) (in press)