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Critical interfaces in the random-bond Potts model · Around

2008

Critical interfaces in the random-bond Potts model

Jacobsen, Jesper L., Doussal, Pierre Le, Picco, Marco et al.

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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.

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