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arXiv · 1711.09597

Review of recent developments in the random-field Ising model

Nikolaos G. Fytas·Victor Martin-Mayor·Marco Picco·Nicolas Sourlas
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Abstract

A lot of progress has been made recently in our understanding of the random-field Ising model thanks to large-scale numerical simulations. In particular, it has been shown that, contrary to previous statements: the critical exponents for different probability distributions of the random fields and for diluted antiferromagnets in a field are the same. Therefore, critical universality, which is a perturbative renormalization-group prediction, holds beyond the validity regime of perturbation theory. Most notably, dimensional reduction is restored at five dimensions, i.e., the exponents of the random-field Ising model at five dimensions and those of the pure Ising ferromagnet at three dimensions are the same.

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Nikolaos G. Fytas, Victor Martin-Mayor, Marco Picco, Nicolas Sourlas. 2017-11-27. Review of recent developments in the random-field Ising model. https://doi.org/10.1007/s10955-018-1955-7

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