Electronic states and interband transitions in the cylindrical quantum layer Ga 1−x 1 Al x 1 As/GaAs/ Ga 1−x 2 Al x 2 As are studied. As a confinement potential the radial analogue of Smorodinsky-Winternitz potential is considered. The quantum transitions are studied in dipole approximation at the presence of the magnetic field directed along layer axis. The selection rules and threshold frequencies of absorption for transitions between heavy holes' band and conduction band, as well as light holes' band and conduction band are obtained. It is shown that these frequencies lie in visible red and near infra-red spectrum. In the frame of perturbation theory the influence of the weak electric field on the character of interband transitions is discussed. In particular, it is found that selection rules for interband transitions change depending on electric field orientation.
The miniband Aharonov-Bohm oscillations and the interminiband absorption coefficient have been considered theoretically for one-layer superlattices of square and rectangular symmetries, composed of cylindrical quantum rings in the external transverse magnetic field with a periodic vector potential by the lattice constants. The crossings and anticrossings of the energies corresponding to different values of quasimomentum are observed. It is shown that the energy gap between the minibands and the sequence of the energies in each miniband can be tuned by the magnetic field. The interminiband absorption coefficient qualitatively depends on the symmetry of the superlattice, magnetic field induction and the incident light polarization. The obtained results indicate on the possibility to control the electronic and optical characteristics of the devices based on quantum ring superlattices.
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