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Theoretical study of magneto-excitons in the [111] GaAs quantum well

A Landau-level basis is used to calculate the magneto-excitons in a 110 Å [111] GaAs quantum well. The excitation spectra of heavy-hole and light-hole excitons are calculated with and without the axial approximation. It is found that the anisotropy of the valence-band structure can cause coupling between optically active and inactive heavy-hole excitons obtained in the axial approximation, and make the latter become optically active. We suggest that the experimentally observed doubly resonant Raman scattering peaked at 13 T magnetic field should take place for polarization, and that it is caused by the LO-phonon Fröhlich scattering with a nonzero in-plane wave vector of the phonon.