Christophe Chatelain et al 2001 J. Phys. A: Math. Gen. 34 9593 doi:10.1088/0305-4470/34/45/301
Christophe Chatelain1, Bertrand Berche2 and Lev N Shchur2,3
Show affiliationsWe 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.
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
Issue 45 (16 November 2001)
Received 3 August 2001
Published 2 November 2001
Christophe Chatelain et al 2001 J. Phys. A: Math. Gen. 34 9593
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