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Universality in four-dimensional random-field magnets

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  • Nikolaos Fytas
  • Panagiotis Theodorakis

Abstract

We investigate the universality aspects of the four-dimensional random-field Ising model (RFIM) using numerical simulations at zero temperature. We consider two different, in terms of the field distribution, versions of the model, namely a Gaussian RFIM and an equal-weight trimodal RFIM. By implementing a computational approach that maps the ground-state of the system to the maximum-flow optimization problem of a network, we employ the most up-to-date version of the push-relabel algorithm and simulate large ensembles of disorder realizations of both models for a broad range of random-field values and system sizes. Using as finite-size measures the sample-to-sample fluctuations of the order parameter of the system, we propose, for both types of distributions, estimates of the critical field h c and the critical exponent ν of the correlation length, the latter suggesting that the two models in four dimensions share the same universality class. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Nikolaos Fytas & Panagiotis Theodorakis, 2015. "Universality in four-dimensional random-field magnets," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(8), pages 1-6, August.
    • Handle: RePEc:spr:eurphb:v:88:y:2015:i:8:p:1-6:10.1140/epjb/e2015-60362-4
    DOI: 10.1140/epjb/e2015-60362-4
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    Statistical and Nonlinear Physics;

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