Exponential decay of correlations in the two-dimensional random field Ising model at zero temperature

Jian Ding; Jiaming Xia

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arXiv · 1902.03302

Exponential decay of correlations in the two-dimensional random field Ising model at zero temperature

Jian Ding·Jiaming Xia

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Abstract

We study random field Ising model on $\mathbb Z^2$ where the external field is given by i.i.d.\ Gaussian variables with mean zero and positive variance. We show that at zero temperature the effect of boundary conditions on the magnetization in a finite box decays exponentially in the distance to the boundary.

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BibTeX RIS

Jian Ding, Jiaming Xia. 2019-02-08. Exponential decay of correlations in the two-dimensional random field Ising model at zero temperature. https://arxiv.org/abs/1902.03302

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