Exponential decay of correlations in the two-dimensional random field Ising model
Probability
2020-11-18 v3
Abstract
We study random field Ising model on where the external field is given by i.i.d.\ Gaussian variables with mean zero and positive variance. We show that the effect of boundary conditions on the magnetization in a finite box decays exponentially in the distance to the boundary.
Keywords
Cite
@article{arxiv.1905.05651,
title = {Exponential decay of correlations in the two-dimensional random field Ising model},
author = {Jian Ding and Jiaming Xia},
journal= {arXiv preprint arXiv:1905.05651},
year = {2020}
}
Comments
1, This document merges arXiv:1902.03302 and a previous version arXiv:1905.05651v2. The title and abstract are revised accordingly. 2, We also improved exposition by incorporating comments from two anonymous referees