Sublevels and excitons in GaAs-AlxGa1−xAs parabolic-quantum-well structures

Abstract

Energy levels and wave functions of electrons and holes in parabolic-quantum-well structures are calculated exactly by using the envelope-function approach and the usual connection rules. They show harmonic-oscillator-like behavior even under an electric field. Variational calculations are presented of the exciton binding energies and their Stark effect on the parabolic-quantum-well structures, which show stronger confinement than in a single rectangular quantum well.