Universality in the Three-Dimensional Random-Field Ising Model

Nikolaos G. Fytas, V. Martín-Mayor

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    95 Citations (Scopus)


    We solve a long-standing puzzle in statistical mechanics of disordered systems. By performing a high-statistics simulation of the D=3 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 the complete set of critical exponents for this class, including the correction-to-scaling exponent, and we show, to high numerical accuracy, that scaling is described by two independent exponents. Discrepancies with previous works are explained in terms of strong scaling corrections.
    Original languageEnglish
    Article number227201
    JournalPhysical Review Letters
    Publication statusPublished - 29 May 2013

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