Signature of miniband nodes in magneto-optical properties of one-dimensional superlattice of planar quantum rings

 The effect of transverse magnetic field on the band structure, magnetization and inter-miniband magnetoabsorption of a one-dimensional superlattice of planar quantum rings is discussed. The band structure calculations are made in the framework of diagonalization procedure. A complete set of basis functions, reflecting the structure periodicity in superlattice direction and the effect of magnetic field is constructed, considering the Landau gauge of the vector potential in the Hamiltonian. It is shown that the energy minibands reveal repeating nodes that correspond to a degeneration of quantum states. The magnetization of the system mimics the main peculiarities of the same quantity for a single QR, however considerable differences are observed as well. The examination of the magnetoabsorption indicates on the possibility to extract an information about the existence of nodes in the band structure and the arrangement of quantum states in the neighboring minibands.