Interplay of Coulomb attraction and spatial confinement in the optical susceptibility of quantum wires

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Abstract
Arrays of quantum-well wires are described within the envelope-function formalism. Starting from a generalization of the well-known Elliott formula, the optical susceptibility can be related to solutions of an effective two-particle Schrödinger equation including both Coulomb interaction and the modulation of the band edges due to the wire array structure. For frequencies near the absorption edge the imaginary part of the susceptibility is numerically calculated. The influence of thickness fluctuations on the spectra is discussed, too. Numerical calculations are compared with luminescence spectra of arrays fabricated by laser-induced thermal interdiffusion.