Abstract
The lowest (s, S) and (p, P) exciton states of a GaAs quantum dot with an isotropic parabolic potential are calculated. Hole states are calculated from the Luttinger - Kohn scheme in the spherical approximation, thus taking light-hole and heavy-hole mixing into account. Exciton states are obtained from an expansion of the wavefunction in a basis formed by products of electron and hole states, and the size dependence of the exciton levels is investigated. By comparison to a one-band model it is found that the effect of valence band mixing is very important and that the one-band model overestimates the exciton energy by more than 20% in the case of strong confinement.
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