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

Michael Aizenman, Matan Harel, Ron Peled

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Pages (from-to)304-331
Number of pages28
JournalJournal of Statistical Physics
Volume180
Issue number1-6
DOIs
StatePublished - Sep 1 2020

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Keywords

  • 2D
  • Anti-concentration bounds
  • Disagreement percolation
  • Exponential decay
  • Quenched disorder
  • Random field Ising model

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