%0 Journal Article %A Cuevas Rodríguez, Emilio %A Ortuño Ortín, Miguel %A Gasparian, Vladimir %A Pérez Garrido, Antonio %T Fluctuations of the correlation dimension at metal-insulator transitions %D 2002 %@ 0031-9007 %U http://arxiv.org/abs/cond-mat/0106605 %U http://hdl.handle.net/10317/580 %X We investigate numerically the inverse participation ratio, P2, of the 3D Anderson model and of the power-law random banded matrix (PRBM) model at criticality. We found that the variance of ln P2 scales with system size L as 2(L) = 2(∞) − AL−D2/2d, being D2 the correlation dimension and d the system dimension. Therefore the concept of a correlation dimension is well defined in the two models considered. The 3D Anderson transition and the PRBM transition for b = 0.3 (see the text for the definition of b) are fairly similar with respect to all critical magnitudes studied. %K Física Aplicada %K Modelo de 3D de Andersen %K Modelo PRBM %~ GOEDOC, SUB GOETTINGEN