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Critical exponents of domain walls in the two-dimensional Potts model · Around

2010

Critical exponents of domain walls in the two-dimensional Potts model

Dubail, Jérôme, Jacobsen, Jesper Lykke, Saleur, Hubert

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We address the geometrical critical behavior of the two-dimensional Q-state Potts model in terms of the spin clusters (i.e., connected domains where the spin takes a constant value).

These clusters are different from the usual Fortuin-Kasteleyn clusters, and are separated by domain walls that can cross and branch.
We develop a transfer matrix technique enabling the formulation and numerical study of spin clusters even when Q is not an integer.
We further identify geometrically the crossing events which give rise to conformal correlation functions.

Built on

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