Phase Transitions in Disordered Systems: The Example of the Random-Field Ising Model in Four Dimensions

Nickolaos G. Fytas, V. Martín-Mayor, M. Picco, N. Sourlas

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    44 Citations (Scopus)
    42 Downloads (Pure)

    Abstract

    By performing a high-statistics simulation of the D=4 random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute to a high accuracy the complete set of critical exponents for this class, including the correction-to-scaling exponent. Our results indicate that in four dimensions (i) dimensional reduction as predicted by the perturbative renormalization group does not hold and (ii) three independent critical exponents are needed to describe the transition.
    Original languageEnglish
    Article number227201
    JournalPhysical Review Letters
    Volume116
    DOIs
    Publication statusPublished - 3 Jun 2016

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