Variational method and duality in the 2D square Potts model
Statistical Mechanics
2009-10-30 v1 Disordered Systems and Neural Networks
Abstract
The ferromagnetic q-state Potts model on a square lattice is analyzed, for q>4, through an elaborate version of the operatorial variational method. In the variational approach proposed in the paper, the duality relations are exactly satisfied, involving at a more fundamental level, a duality relationship between variational parameters. Besides some exact predictions, the approach is very effective in the numerical estimates over the whole range of temperature and can be systematically improved.
Cite
@article{arxiv.cond-mat/9705062,
title = {Variational method and duality in the 2D square Potts model},
author = {L. Angelini and M. Pellicoro and I. Sardella and M. Villani},
journal= {arXiv preprint arXiv:cond-mat/9705062},
year = {2009}
}
Comments
20 pages, 5 EPS figures