Optical properties of quantum wires: Disorder scattering in the Lloyd model

The Lloyd model is extended to the exciton problem in quasi-one-dimensional structures to study the interplay between the Coulomb attraction and disorder scattering. Within this model the averaging and resummation of the locator series can be performed analytically. As an application, the optical absorption in quantum box wires is investigated. Without electron-hole interaction, fluctuations in the well width lead to an asymmetric broadening of the minibands with respect to the lower and upper band edges.