Many-body effects in highly acceptor-doped ${\mathrm{G}\mathrm{a}\mathrm{A}\mathrm{s}/\mathrm{A}\mathrm{l}}_x{\mathrm{Ga}}_{1-x}\mathrm{As}$ quantum wells

The optical properties of quantum wells, which are center-doped with acceptors up to the high doping regime, $1\times {10}^{19}{\mathrm{cm}}^{\mathrm{-}3},$ have been studied by means of photoluminescence and photoluminescence excitation spectroscopy. The experimental results derived from the optical measurements are compared with theoretical predictions on the self-energy shifts of the subbands at high doping levels performed with self-consistent Hartree calculations with the inclusion of many-body effects.