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, η¯η¯ = 2η, where η and η¯η¯ 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.
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Fytas, N. G., & Malakis, A. (2010). Scaling and self-averaging in the three-dimensional random-field Ising model. The European Physical Journal B, 79(1), 13-20. https://doi.org/10.1140/epjb/e2010-10404-6