Review of Recent Developments in the Random-Field Ising Model

Nikolaos Fytas, Victor Martin-Mayor, Marco Picco, Nicolas Sourlas

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)
11 Downloads (Pure)


A lot of progress has been made recently in our understanding of the random-field Ising model thanks to large-scale numerical simulations. In particular, it has been shown that, contrary to previous statements: the critical exponents for different probability distributions of the random fields and for diluted antiferromagnets in a field are the same. Therefore, critical universality, which is a perturbative renormalization-group prediction, holds beyond the validity regime of perturbation theory. Most notably, dimensional reduction is restored at five dimensions, i.e., the exponents of the random-field Ising model at five dimensions and those of the pure Ising ferromagnet at three dimensions are the same.
Original languageEnglish
Pages (from-to)665 - 672
Number of pages8
JournalJournal of Statistical Physics
Early online date10 Feb 2018
Publication statusPublished - Jul 2018

Bibliographical note

The final publication is available at Springer via


  • Random field Ising models
  • Universality class
  • Optimization methods


Dive into the research topics of 'Review of Recent Developments in the Random-Field Ising Model'. Together they form a unique fingerprint.

Cite this