TY - JOUR 
A1 - Cuevas Rodríguez, Emilio
AU - Ortuño Ortín, Miguel
AU - Gasparian, Vladimir
AU - Pérez Garrido, Antonio
T1 - Fluctuations of the correlation dimension at metal-insulator transitions
Y1 - 2002
SN - 0031-9007
UR - http://arxiv.org/abs/cond-mat/0106605
UR - http://hdl.handle.net/10317/580
AB - 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.
KW - Física Aplicada
KW - Modelo de 3D de Andersen
KW - Modelo PRBM
LA - spa
PB - American Physical Society
ER -