Magnetoluminescence study of many-body effects in homogeneous quasi-two-dimensional electron-hole plasma in undoped ${\mathrm{In}}_{\mathit{x}}$${\mathrm{Ga}}_{1\mathrm{-}\mathit{x}}$As/InP single quantum wells

The photoluminescence of a highly homogeneous quasi-two-dimensional electron-hole plasma in undoped lattice-matched ${\mathrm{In}}_{1\mathrm{-}\mathit{x}}$${\mathrm{Ga}}_{\mathit{x}}$As/InP quantum wells has been investigated up to densities of 4×${10}^{12}$ ${\mathrm{cm}}^{\mathrm{-}2}$ under magnetic fields H≤10 T. The band-gap renormalization due to many-body interactions is found to be significantly larger for the ${\mathit{n}}_{\mathit{z}}$=1 than the ${\mathit{n}}_{\mathit{z}}$=2 subbands. We observe an energy-dependent renormalization of the reduced effective mass for carrier concentrations in the (1–4)×${10}^{12}$ ${\mathrm{cm}}^{\mathrm{-}2}$ range. The renormalization is ∼10% near the band bottom for a kinetic energy ∼50 meV while it reaches 25% in the intermediate range. This variation is attributed to the influence of the light-hole–heavy-hole subband-splitting renormalization.