Scattering at the Anderson transition:: Power-law banded random matrix model

We analyze the scattering properties of a periodic one-dimensional system at criticality represented by the so-called power-law banded random matrix model at the metal-insulator transition. We focus on the scaling of Wigner delay times tau and resonance widths Gamma. We find that the typical values of tau and Gamma (calculated as the geometric mean) scale with the system size L as tau(typ)proportional to L-D1 and Gamma(typ)proportional to L-(2-D2), where D-1 is the information dimension and D-2 is the correlation dimension of eigenfunctions of the corresponding closed system.