Quenched bond dilution in two-dimensional Potts models
Abstract
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.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- November 2001
- DOI:
- 10.1088/0305-4470/34/45/301
- arXiv:
- arXiv:cond-mat/0108014
- Bibcode:
- 2001JPhA...34.9593C
- Keywords:
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- Condensed Matter - Disordered Systems and Neural Networks
- E-Print:
- LaTeX file with IOP macros, 29 pages, 14 eps figures