Review of recent developments in the random-field Ising model. Fytas, N. G., Martin-Mayor, V., Picco, M., & Sourlas, N. nov, 2017. Paper 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, critical universality as predicted by perturbative renormalization group is true at three and four dimensions: the critical exponents for different probability distributions of the random fields and for diluted antiferromagnets in a field are the same. 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, critical universality as predicted by perturbative renormalization group is true at three and four dimensions: the critical exponents for different probability distributions of the random fields and for diluted antiferromagnets in a field are the same. 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. and Martin-Mayor, Victor and Picco, Marco and Sourlas, Nicolas},
eprint = {1711.09597},
month = {nov},
title = {{Review of recent developments in the random-field Ising model}},
url = {http://arxiv.org/abs/1711.09597},
year = {2017}
}
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