Thermal critical behavior and universality aspects of the three-dimensional random-field Ising model

A. Malakis, Nikolaos G. Fytas

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    4 Citations (Scopus)


    The three-dimensional bimodal random-field Ising model is investigated using the N-fold version of the Wang-Landau algorithm. The essential energy subspaces are determined by the recently developed critical minimum energy subspace technique, and two implementations of this scheme are utilized. The random fields are obtained from a bimodal discrete (±Δ) distribution, and we study the model for various values of the disorder strength Δ, Δ=0.5,1,1.5 and 2, on cubic lattices with linear sizes L=4–24. We extract information for the probability distributions of the specific heat peaks over samples of random fields. This permits us to obtain the phase diagram and present the finite-size behavior of the specific heat. The question of saturation of the specific heat is re-examined and it is shown that the open problem of universality for the random-field Ising model is strongly influenced by the lack of self-averaging of the model. This property appears to be substantially depended on the disorder strength.
    Original languageEnglish
    Pages (from-to)257-266
    JournalThe European Physical Journal B - Condensed Matter and Complex Systems
    Issue number2
    Publication statusPublished - 2 Jun 2006

    Bibliographical note

    The full text is not available on the repository.


    • 05.50+q Lattice theory and statistics (Ising
    • Potts. etc.)
    • 64.60.Fr Equilibrium properties near critical points
    • critical exponents
    • 75.10.Nr Spin-glass and other random models


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