Articles dans des revues à comité de lecture
|Quenched bond dilution in two-dimensional Potts models|
|Chatelain C., Berche B., Shchur L.N.|
|Journal of Physics A: Mathematical and General 34 (2001) 9593|
|DOI : 10.1088/0305-4470/34/45/301|
|ArXiv : cond-mat/0108014 [PDF]|
|HAL : hal-00137975|
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.