Critical interfaces in the random-bond Potts model
Jesper L. Jacobsen1, Pierre Le Doussal1, Marco Picco2, Raoul Santachiara1, Kay Jörg Wiese1
1CNRS-Laboratoire de Physique Théorique de
l'Ecole Normale Supérieure,
24 rue Lhomond, 75005 Paris, France
2CNRS-LPTHE, Universités Paris 6 et Paris 7, 4 Place Jussieu, 75005 Paris, France
Abstract
We study geometrical properties of interfaces in the
random-temperature q-states Potts model as an example of a conformal
eld 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 also obtain numerical results for the fractal
dimension of spin clusters interfaces for q = 3. These are found
numerically consistent with the duality κspin κFK = 16 as expressed
in putative SLE parameters.
arXiv:0809.3985 [pdf]
Phys. Rev. Lett. 102 (2009) 070601 [pdf]
Copyright (C) by Kay Wiese. Last edited September 23, 2008.