Correlated correlation functions in random-bond ferromagnets
Statistical Mechanics
2009-10-31 v1
Abstract
The two-dimensional random-bond Q-state Potts model is studied for Q near 2 via the perturbative renormalisation group to one loop. It is shown that weak disorder induces cross-correlations between the quenched-averages of moments of the two-point spin/spin and energy/energy correlation functions, which should be observable numerically in specific linear combinations of various quenched correlation functions. The random-bond Ising model in (2+epsilon) dimensions is similarly treated. As a byproduct, a simple method for deriving the scaling dimensions of all moments of the local energy operator is presented.
Cite
@article{arxiv.cond-mat/9911083,
title = {Correlated correlation functions in random-bond ferromagnets},
author = {Tom Davis and John Cardy},
journal= {arXiv preprint arXiv:cond-mat/9911083},
year = {2009}
}
Comments
AMS-LaTeX. 12 pages, 1 figure