Quantum states and magnetooptics in n- and p-type heterojunctions with lateral surface quantum dot (antidot) superlattice subjected to perpendicular magnetic field

The studies of quantum states and optics in n- and p-type heterojunctions with lateral surface quantum dot (antidots) superlattice and in the presence of perpendicular magnetic field are performed. The Azbel' - Hofstadter problem is solved for electrons in conduction band and for holes in valence band described by 4x4 Luttinger Hamiltonian. Under the conditions of non-interactive Landau levels the set of magnetic subbands is obtained for separate electron and hole levels in wide interval of magnetic fields. The influence of spin-orbit interaction onto wavefunctions and energy spectrum in hole magnetic subbands has been investigated. The probabilities of transitions between quantum states in magnetic subbands and monolayer of impurities located inside heterojunction are calculated for two cases: transitions between electron states and acceptors and between hole states and donors. The set of parameters (superlattice periods, amplitude of periodic potential and magntitude of magnetic field, etc.) required for experimental observation of magnetic subbands is found.