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Advances in Condensed Matter Physics
Volume 2015, Article ID 979528, 6 pages
Research Article

Weakly Bound States of Elementary Excitations in Graphene Superlattice in Quantizing Magnetic Field

1Physical Laboratory of Low-Dimensional Systems, Volgograd State Socio-Pedagogical University, V.I. Lenin Avenue, No. 27, Volgograd 400066, Russia
2Department of Physics, Volgograd State Technical University, V.I. Lenin Avenue, No. 28, Volgograd 400005, Russia

Received 21 October 2014; Revised 12 June 2015; Accepted 28 June 2015

Academic Editor: Sergei Sergeenkov

Copyright © 2015 Sergei V. Kryuchkov and Egor I. Kukhar’. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The spectrum of allowed energy of electron in graphene superlattice in the quantizing magnetic field is investigated. Such spectrum consists of number of so-called magnetic minibands. The width of these minibands depends on the superlattice barriers power and on the magnetic field intensity. The explicit form of electron spectrum is derived in the case of weak magnetic field. The possibility of electron-electron and electron-phonon bound states is shown. The binding energies of these states are calculated. The binding energy is shown to be the function of magnetic field intensity.