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For $d\geq 3$, we study the Ising model on $\mathbb Z^d$ with random field given by $\{\epsilon h_v: v\in \mathbb Z^d\}$ where $h_v$'s are independent normal variables with mean 0 and variance 1.
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R. G. Edwards and A. D. Sokal · 1988
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M. Aizenman and J. Wehr · 1990
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J. P. Hill, Q. Feng, R. J. Birgeneau, and T. R. Thurston · 1993
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A. Hammond · 2006
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J. Ding and M. Wirth · 2011
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A. Timár · 2013
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F. Camia, J. Jiang, and C. M. Newman · 2018
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On the decay of correlations in the random field Ising model
S. Chatterjee · 2018
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H. Duminil-Copin and V. Tassion · 2018
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Sharp phase transition for the random-cluster and Potts models via decision trees
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M. Aizenman, M. Harel, and R. Peled · 2020
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Exponential decay of truncated correlations for the ising model in any dimension for all but the critical temperature
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Exponential decay of correlations in the two-dimensional random field Ising model
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Long range order for random field ising and potts models
J. Ding and Z. Zhuang · 2021
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A new correlation inequality for ising models with external fields
J. Ding, J. Song, and R. Sun · 2022
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