Universality in the three-dimensional random-field Ising model

TL;DR

This paper demonstrates that the three-dimensional random-field Ising model belongs to a single universality class, providing precise critical exponents and clarifying previous discrepancies through high-statistics simulations.

Contribution

The study offers the first comprehensive numerical determination of the critical exponents for the 3D RFIM universality class, resolving longstanding debates.

Findings

Model is governed by a single universality class.

Complete set of critical exponents computed.

Scaling described by two independent exponents.

Abstract

We solve a long-standing puzzle in Statistical Mechanics of disordered systems. By performing a high-statistics simulation of the D=3 random-field Ising model at zero temperature for different shapes of the random-field distribution, we show that the model is ruled by a single universality class. We compute the complete set of critical exponents for this class, including the correction-to-scaling exponent, and we show, to high numerical accuracy, that scaling is described by two independent exponents. Discrepancies with previous works are explained in terms of strong scaling corrections.