Review of Recent Developments in the Random-Field Ising Model

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

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    27 Citations (Scopus)
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    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

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    • Random field Ising models
    • Universality class
    • Optimization methods


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