Magneto-optical studies of acceptors confined in GaAs/${\mathrm{Al}}_{\mathit{x}}$${\mathrm{Ga}}_{1\mathrm{-}\mathit{x}}$As quantum wells

A magneto-optical study of acceptors in varying degrees of confinement in GaAs/${\mathrm{Al}}_{\mathit{x}}$${\mathrm{Ga}}_{1\mathrm{-}\mathit{x}}$As quantum wells (QW’s) is presented. A model for the splitting of the acceptor bound exciton (BE) and the allowed BE transitions in the presence of a magnetic field is presented. Our experimental results for the acceptor BE emission agree with calculated g values for bound holes, e.g., ${\mathit{g}}_{3/2}$=0.61 and ${\mathit{g}}_{1/2}$=0.35 for a 150-Å-wide QW. Furthermore, the energy separation between the acceptor ${\mathit{m}}_{\mathit{j}}$=±3/2 1S(${\mathrm{\Gamma }}_6$) ground state and the excited ${\mathit{m}}_{\mathit{j}}$=±3/2 2S(${\mathrm{\Gamma }}_6$) state as a function of applied magnetic field is derived from selective photoluminescence and resonant-Raman-scattering measurements. Finally, these experimental results are compared with theoretical predictions for the confined acceptor states.