The mixing between the Γ and X conduction-band valleys in GaAs-Ga_1−xAl_xAs quantum wells is investigated by using both a phenomenological and a variational models which take into account the effects of applied hydrostatic pressure. The dependencies of the calculated photoluminescence peak-energy transitions on the applied hydrostatic pressure and quantum-well width are presented. A systematic study of the Γ −X mixing parameter is also reported. In particular, it is shown that the inclusion of the Γ −X mixing explains the non-linear behavior in the photoluminescence peak of confined exciton states that has been experimentally observed for pressures above 15 kbar in GaAs-Ga_1−xAl_xAs quantum wells.

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