Quenched bond dilution in two-dimensional Potts models

Citation
C. Chatelain et al., Quenched bond dilution in two-dimensional Potts models, J PHYS A, 34(45), 2001, pp. 9593-9614
Citations number
57
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
45
Year of publication
2001
Pages
9593 - 9614
Database
ISI
SICI code
0305-4470(20011116)34:45<9593:QBDITP>2.0.ZU;2-K
Abstract
We report a numerical study of the bond-diluted two-dimensional Potts model using transfer-matrix calculations. For different numbers of states per sp in, we show that the critical exponents at the random fixed point are the s ame as in self-dual random-bond cases. In addition, we determine the multif ractal spectrum associated with the scaling dimensions of the moments of th e spin-spin correlation function in the cylinder geometry. We show that the behaviour is fully compatible with the one observed in the random-bond cas e, confirming the general picture according to which a unique fixed point d escribes the critical properties of different classes of disorder: dilution , self-dual binary random bond, self-dual continuous random bond.