Excitonic line shapes of disordered solids

The optical absorption for a disordered one-dimensional excitonic solid has been studied by numerical methods. We have considered both Gaussian and binary energy fluctuations. Our results indicate that the physical properties associated with the spectra are selfaveraging. Results obtained on a single realization of random variables are consistent with recent ensemble averaged results obtained numerically on smaller samples. We also show that for binary disordered solids in the band splitting limit, spectra are dominated by cluster effects and can not be described through analytical treatments.