Eur. Phys. J. B 79, 13-20 (2011)
https://doi.org/10.1140/epjb/e2010-10404-6

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

Department of Physics, Section of Solid State Physics, University of Athens, Panepistimiopolis, 15784 Zografos, Athens, Greece

Corresponding author: ^a nfytas@phys.uoa.gr

Received: 19 May 2010
Revised: 7 October 2010
Published online: 29 November 2010

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, = 2η, where η and 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.