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

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 exp...

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Main Authors: Sergei V. Kryuchkov, Egor I. Kukhar’
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Advances in Condensed Matter Physics
Online Access:http://dx.doi.org/10.1155/2015/979528
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author Sergei V. Kryuchkov
Egor I. Kukhar’
author_facet Sergei V. Kryuchkov
Egor I. Kukhar’
author_sort Sergei V. Kryuchkov
collection DOAJ
description 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.
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institution Kabale University
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spelling doaj-art-68a820d18b5c4d40840798b0dd9764992025-02-03T01:31:51ZengWileyAdvances in Condensed Matter Physics1687-81081687-81242015-01-01201510.1155/2015/979528979528Weakly Bound States of Elementary Excitations in Graphene Superlattice in Quantizing Magnetic FieldSergei V. Kryuchkov0Egor I. Kukhar’1Physical Laboratory of Low-Dimensional Systems, Volgograd State Socio-Pedagogical University, V.I. Lenin Avenue, No. 27, Volgograd 400066, RussiaPhysical Laboratory of Low-Dimensional Systems, Volgograd State Socio-Pedagogical University, V.I. Lenin Avenue, No. 27, Volgograd 400066, RussiaThe 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.http://dx.doi.org/10.1155/2015/979528
spellingShingle Sergei V. Kryuchkov
Egor I. Kukhar’
Weakly Bound States of Elementary Excitations in Graphene Superlattice in Quantizing Magnetic Field
Advances in Condensed Matter Physics
title Weakly Bound States of Elementary Excitations in Graphene Superlattice in Quantizing Magnetic Field
title_full Weakly Bound States of Elementary Excitations in Graphene Superlattice in Quantizing Magnetic Field
title_fullStr Weakly Bound States of Elementary Excitations in Graphene Superlattice in Quantizing Magnetic Field
title_full_unstemmed Weakly Bound States of Elementary Excitations in Graphene Superlattice in Quantizing Magnetic Field
title_short Weakly Bound States of Elementary Excitations in Graphene Superlattice in Quantizing Magnetic Field
title_sort weakly bound states of elementary excitations in graphene superlattice in quantizing magnetic field
url http://dx.doi.org/10.1155/2015/979528
work_keys_str_mv AT sergeivkryuchkov weaklyboundstatesofelementaryexcitationsingraphenesuperlatticeinquantizingmagneticfield
AT egorikukhar weaklyboundstatesofelementaryexcitationsingraphenesuperlatticeinquantizingmagneticfield