Abstract
Magneto-optical absorption spectra due to exciton states and Landau-levels were measured in GaAs/AlAs multi-quantum-wells. By extrapolating the photon energies of the absorption peaks to zero magnetic field, the lowest state (1 S) heavy hole exciton binding energy, E B h (1 S), was obtained as a function of well size L z in the range 58 A ̊ ⩽ L z⩽252 A ̊ . The L z dependence of E B h showed the change of the exciton character from three-dimensional to two-dimensional with decreasing L z. The diamagnetic shift observed for the heavy hole exciton peak was larger than that for the light hole exciton peak, showing the anisotropic nature of the Luttinger-Kohn Hamiltonian. The diamagnetic shift of the heavy hole exciton peak became smaller as L z was decreased, suggesting the enhancement of the two-dimensional exciton character.
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