Optically detected oscillations of screening by a two-dimensional electron gas in a magnetic field

The acceptor-related magnetoluminescence of a two-dimensional electron gas confined in a ${\mathrm{Ga}}_{\mathrm{x}}$ ${\mathrm{InAs}}_{1\mathrm{-}\mathrm{x}}$/${\mathrm{Al}}_{\mathrm{x}}$ ${\mathrm{InAs}}_{1\mathrm{-}\mathrm{x}}$ single quantum-well structure is investigated. The recombination energies are found to smoothly depend on the magnetic field in contrast to the total luminescence intensity, which clearly oscillates as a function of the filling factor. The intensity oscillations are damped with temperature similar to the Shubnikov–de Haas oscillations. The findings are consistent with oscillations of the wave function of the valence hole bound by the screened potential of an acceptor.