Zeeman splitting of the excitonic recombination in ${\mathrm{In}}_{\mathit{x}}$${\mathrm{Ga}}_{1\mathrm{-}\mathit{x}}$As/GaAs single quantum wells

We report magnetoluminescence investigations of undoped ${\mathrm{In}}_{\mathit{x}}$${\mathrm{Ga}}_{1\mathrm{-}\mathit{x}}$As/GaAs single quantum wells. At the highest available magnetic fields (11 T) the excitonic recombination shows well resolved spin splittings. For low indium content the splitting is dominated by the heavy-hole valence-band splitting as confirmed experimentally. The theoretical analysis allows us to determine the electron as well as the heavy-hole g values in ${\mathrm{In}}_{\mathit{x}}$${\mathrm{Ga}}_{1\mathrm{-}\mathit{x}}$As on GaAs within the composition range 0<x<0.27 for quantum well thickness ${\mathit{L}}_{\mathit{z}}$>120 Å.