Critical interfaces in the random-bond Potts model

Details Critical interfaces in the random-bond Potts model Critical interfaces in the random-bond Potts model

2008-09-23

arxiv.org/abs/0809.3985v1

Phys.Rev.Lett.102:070601,2009

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages

Scientific paper

10.1103/PhysRevLett.102.070601

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.

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