Abstract

We study the optics and transport in p-type heterojunctions with lateral surface quantum dot (antidot) superlattice and in the presence of perpendicular magnetic field. The Azbel'-Hofstadter problem is solved for holes in valence band described by 4 x 4 Luttinger Hamiltonian. The probabilities of transitions between quantum states in magnetic subbands and monolayer of donors located inside heterojunction are calculated. The investigation of Hall conductance in the Integer Quantum Hall Effect (IQHE) mode in p-type heterojunctions with lateral surface superlattice has been performed. The mutual influence of heavy and light holes, and of the spin-orbit coupling on the quantization of Hall conductance was elucidated.

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