Critical Behavior for 2d Uniform and Disordered Ferromagnets at Self-Dual Points
Statistical Mechanics
2007-05-23 v1 Disordered Systems and Neural Networks
Mathematical Physics
math.MP
Abstract
We consider certain two-dimensional systems with self--dual points including uniform and disordered -state Potts models. For systems with continuous energy density (such as the disordered versions) it is established that the self--dual point exhibits critical behavior: Infinite susceptibility, vanishing magnetization and power law bounds for the decay of correlations.
Keywords
Cite
@article{arxiv.cond-mat/9811203,
title = {Critical Behavior for 2d Uniform and Disordered Ferromagnets at Self-Dual Points},
author = {Lincoln Chayes and Kirill Shtengel},
journal= {arXiv preprint arXiv:cond-mat/9811203},
year = {2007}
}
Comments
submitted to Commun. Math. Phys