Exponential decay of correlations in the 2D random field Ising model
Mathematical Physics
2022-01-25 v1 math.MP
Probability
Abstract
An extension of the Ising spin configurations to continuous functions is used for an exact representation of the Random Field Ising Model's order parameter in terms of disagreement percolation. This facilitates an extension of the recent analyses of the decay of correlations to positive temperatures, at homogeneous but arbitrarily weak disorder.
Keywords
Cite
@article{arxiv.1907.06459,
title = {Exponential decay of correlations in the 2D random field Ising model},
author = {Michael Aizenman and Matan Harel and Ron Peled},
journal= {arXiv preprint arXiv:1907.06459},
year = {2022}
}
Comments
27 pages, 3 figures