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Главная Публикации Quenced bond dilution in two-dimensional Potts models, C. Chatelain, B. Berche, and L.N. Shchur, 2001

Quenced bond dilution in two-dimensional Potts models

C. Chatelain, B. Berche, and L.N. Shchur

J. Phys. A. 34 (2001) 9593-9614



We report a numerical study of the bond-diluted two-dimensional Potts model using transfer-matrix calculations. For different numbers of states per spin, we show that the critical exponents at the random fixed point are the same as in self-dual random-bond cases. In addition, we determine the multifractal spectrum associated with the scaling dimensions of the moments of the spin-spin correlation function in the cylinder geometry. We show that the behaviour is fully compatible with the one observed in the random-bond case, confirming the general picture according to which a unique fixed point describes the critical properties of different classes of disorder: dilution, self-dual binary random bond, self-dual continuous random bond.

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