The Peierls argument for higher dimensional Ising models
Statistical Mechanics
2014-03-11 v2
Abstract
The Peierls argument is a mathematically rigorous and intuitive method to show the presence of a non-vanishing spontaneous magnetization in some lattice models. This argument is typically explained for the Ising model in a way which cannot be easily generalized to higher dimension. The aim of this paper is to present an elementary discussion of the Peierls argument for the general -dimensional Ising model.
Keywords
Cite
@article{arxiv.1401.7894,
title = {The Peierls argument for higher dimensional Ising models},
author = {Claudio Bonati},
journal= {arXiv preprint arXiv:1401.7894},
year = {2014}
}
Comments
14 pages, 5 eps figures, minor changes