Review of recent developments in the random-field Ising model

Review of recent developments in the random-field Ising model. Fytas, N. G. N., Martin-Mayor, V., Picco, M., Sourlas, N., Martín-Mayor, V., Picco, M., & Sourlas, N. Journal of Statistical Physics, 172(2):665–672, nov, 2017.

Paper doi abstract bibtex

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.

@article{Fytas2017,
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.},
archivePrefix = {arXiv},
arxivId = {1711.09597},
author = {Fytas, Nikolaos G. N.G. and Martin-Mayor, Victor and Picco, Marco and Sourlas, Nicolas and Mart{\'{i}}n-Mayor, V. and Picco, Marco and Sourlas, Nicolas},
doi = {10.1007/s10955-018-1955-7},
eprint = {1711.09597},
file = {:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Fytas et al. - 2017 - Review of recent developments in the random-field Ising model(2).pdf:pdf},
issn = {0022-4715},
journal = {Journal of Statistical Physics},
keywords = {Disordered systems,Phase transitions,Random field Ising model},
month = {nov},
number = {2},
pages = {665--672},
title = {{Review of recent developments in the random-field Ising model}},
url = {http://arxiv.org/abs/1711.09597 http://dx.doi.org/10.1007/s10955-018-1955-7 http://link.springer.com/10.1007/s10955-018-1955-7},
volume = {172},
year = {2017}
}

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