Scaling and self-averaging in the three-dimensional random-field Ising model

N. G. Fytas () and A. Malakis

The European Physical Journal B: Condensed Matter and Complex Systems, 2011, vol. 79, issue 1, 13-20

Abstract: We investigate, by means of extensive Monte Carlo simulations, the magnetic critical behavior of the three-dimensional bimodal random-field Ising model at the strong disorder regime. We present results in favor of the two-exponent scaling scenario, $\bar{\eta}$ =2η, where η and $\bar{\eta}$ are the critical exponents describing the power-law decay of the connected and disconnected correlation functions and we illustrate, using various finite-size measures and properly defined noise to signal ratios, the strong violation of self-averaging of the model in the ordered phase. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Date: 2011
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DOI: 10.1140/epjb/e2010-10404-6

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