Abstract
The recently reported high excitonic and biexcitonic binding energies in GaAs/${\mathrm{Ga}}_{\mathrm{x}}$${\mathrm{Al}}_{1\mathrm{\ensuremath{-}}\mathrm{x}}$As quantum wells and quantum-well wires suggest the possibility of strong optical nonlinearities around the biexcitonic resonance. We calculate in a simple boson model both absorption and dispersion spectra in GaAs around this resonance for various intensities comparing bulk, quantum-well, and quantum-well-wire structures. An assessment of inhomogeneous line broadening due to a Gaussian distribution of quantum-well-wire radii is also presented.
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