Optical spectra of silicon nanostructures from the random-matrix model

We apply the method of random matrices to a calculation of the optical properties of porous silicon and silicon nanopowders, analyzing the effects of disorder on the visible luminescence properties. The maximum of the luminescence peal; displays a blueshift, which adds up to the effects induced by other mechanisms, such as quantum confinement or surface passivation, and agrees with the experimental findings, The long-wavelength luminescence edge, instead, is redshifted by the presence of disorder, thus partially compensating for the gap-opening effect induced by the other mechanisms.