@article{544cbb36334b46b384ab57cfed337166,
title = "Exponential Decay of Correlations in the 2D Random Field Ising Model",
abstract = "An extension of the Ising spin configurations to continuous functions is used for an exact representation of the random field Ising model{\textquoteright}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 = "2D, Anti-concentration bounds, Disagreement percolation, Exponential decay, Quenched disorder, Random field Ising model",
author = "Michael Aizenman and Matan Harel and Ron Peled",
note = "Funding Information: We gratefully acknowledge the following support. The work of MA was supported in parts by the NSF Grant DMS-1613296, and the Weston Visiting Professorship at the Weizmann Institute of Science. The work of MH and RP was supported in part by Israel Science Foundation Grant 861/15 and the European Research Council starting Grant 678520 (LocalOrder). MH was supported by the Zuckerman Postdoctoral Fellowship. We thank the Faculty of Mathematics and Computer Science and the Faculty of Physics at WIS for the hospitality enjoyed there during work on this project. Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Funding Information: We gratefully acknowledge the following support. The work of MA was supported in parts by the NSF Grant DMS-1613296, and the Weston Visiting Professorship at the Weizmann Institute of Science. The work of MH and RP was supported in part by Israel Science Foundation Grant 861/15 and the European Research Council starting Grant 678520 (LocalOrder). MH was supported by the Zuckerman Postdoctoral Fellowship. We thank the Faculty of Mathematics and Computer Science and the Faculty of Physics at WIS for the hospitality enjoyed there during work on this project. Publisher Copyright: {\textcopyright} 2019, The Author(s).",
year = "2020",
month = sep,
day = "1",
doi = "10.1007/s10955-019-02401-5",
language = "English (US)",
volume = "180",
pages = "304--331",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer New York",
number = "1-6",
}