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Exponential Decay of Correlations in the 2D Random Field Ising Model

Author(s): Aizenman, Michael; Harel, Matan; Peled, Ron

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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.
Publication Date: 13-Nov-2019
DOI: doi:10.1007/s10955-019-02401-5
ISSN: 0022-4715
EISSN: 1572-9613
Keywords: random field Ising model, quenched disorder, 2D, disagreement percolation, exponential decay, anti-concentration bounds
Language: en
Type of Material: Journal Article
Journal/Proceeding Title: Journal of Statistical Physics
Version: Final published version. This is an open access article.

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