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An investigation is made of the effects of the valence-band coupling on the excitonic spectrum of undoped GaAs-AlₗGa₁-ₗAs quantum wells. The electron and hole are taken to interact via a screened Coulomb attraction, and their respective subbands are determined in the effective-mass approximation. The binding energy of the lowest heavy-hole exciton, E₀₇^ex, is found to increase only slightly. That of the lowest light-hole exciton, E₀₋^ex, shows a more substantial increase because the light-hole exciton derives from a strongly nonparabolic hole subband and, in addition, exhibits a Fano-like resonance with the electron--heavy-hole continuum.
Broido et al. (Mon,) studied this question.