Magneto-optical spectroscopy of two-dimensional holes inGaAs/AlxGa1−xAssingle heterojunctions

The energy spectrum of two-dimensional (2D) holes in a perpendicular magnetic field is investigated in $p$-type GaAs/AlGaAs single heterojunctions using a magneto-optical method based on the study of radiative recombination of 2D holes with photoexcited electrons bound to donors. A complex structure of both heavy- and light-hole energy levels is directly observed in luminescence spectrum, and the magnetic-field dependencies of the energy splittings between different quantum states of the 2D holes is studied using an analysis of circular polarization of the magnetoluminescence. The experimental results are compared with the energy spectrum of 2D holes calculated with the use of the $4\times 4$ Luttinger $k\cdot p$ Hamiltonian and a reasonable agreement is established.