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The miniband Aharonov-Bohm oscillations and the interminiband absorptioncoefficient have been considered theoretically for one-layer superlattices ofsquare and rectangular symmetries, composed of cylindrical quantum rings in theexternal transverse magnetic field with a periodic vector potential by thelattice constants. The crossings and anticrossings of the energiescorresponding to different values of quasimomentum are observed. It is shownthat the energy gap between the minibands and the sequence of the energies ineach miniband can be tuned by the magnetic field. The interminiband absorptioncoefficient qualitatively depends on the symmetry of the superlattice, magneticfield induction and the incident light polarization. The obtained resultsindicate on the possibility to control the electronic and opticalcharacteristics of the devices based on quantum ring superlattices.

Interminiband absorption in a quantum ring superlattice in magnetic field with periodic vector potential