Critical interfaces in the random-bond Potts model
Disordered Systems and Neural Networks
2010-04-22 v1
Abstract
We study geometrical properties of interfaces in the random-temperature q-states Potts model as an example of a conformal field theory weakly perturbed by quenched disorder. Using conformal perturbation theory in q-2 we compute the fractal dimension of Fortuin Kasteleyn domain walls. We also compute it numerically both via the Wolff cluster algorithm for q=3 and via transfer-matrix evaluations. We obtain numerical results for the fractal dimension of spin cluster interfaces for q=3. These are found numerically consistent with the duality kappa(spin) * kappa(FK)= 16 as expressed in putative SLE parameters.
Keywords
Cite
@article{arxiv.0809.3985,
title = {Critical interfaces in the random-bond Potts model},
author = {Jesper L. Jacobsen and Pierre Le Doussal and Marco Picco and Raoul Santachiara and Kay Joerg Wiese},
journal= {arXiv preprint arXiv:0809.3985},
year = {2010}
}
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4 pages