Scale Invariance in disordered systems: the example of the Random Field Ising Model
Condensed Matter
2009-11-07 v1
Abstract
We show by numerical simulations that the correlation function of the random field Ising model (RFIM) in the critical region in three dimensions has very strong fluctuations and that in a finite volume the correlation length is not self-averaging. This is due to the formation of a bound state in the underlying field theory. We argue that this non perturbative phenomenon is not particular to the RFIM in 3-d. It is generic for disordered systems in two dimensions and may also happen in other three dimensional disordered systems.
Keywords
Cite
@article{arxiv.cond-mat/0207415,
title = {Scale Invariance in disordered systems: the example of the Random Field Ising Model},
author = {Giorgio Parisi and Nicolas Sourlas},
journal= {arXiv preprint arXiv:cond-mat/0207415},
year = {2009}
}