Energy Spectra of the Fibonacci Superlattice Based on the Gapped Graphene

  • A. M. KorolEmail author
  • V. M. Isai
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 156)


We consider the gapped graphene superlattice (SL) constructed in accordance with the Fibonacci rule. The value of a gap is assumed to be equal in all SL elements and we propose to create the quasi-periodic modulation due to the difference in values of the barrier height in different SL elements. It is shown that the effective splitting of the allowed bands and thereby forming a series of gaps is realized under the normal incidence of electrons on the SL. Energy spectra reveal a periodical character on the whole energy scale. The splitting of allowed bands is subjected to the Fibonacci inflation rule. The gap associated with the new Dirac point is formed in every Fibonacci generation. Both the location and the width of this gap are dependent on the barrier heights. Results obtained allow for controlling the energy spectra of the graphene-based SLs and may be useful for operating the nano-electronic devices.


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.National University for Food TechnologiesKievUkraine
  2. 2.Laboratory on Quantum TheoryLinköpingSweden

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