Skip to content
Research Article Open access CC BY 4.0

Energy Spectra of the Graphene-based Fibonacci Superlattice Modulated by the Fermi Velocity Barriers

A. M. Korol, S. I. Litvynchuk, S. V. Bagliuk, V. M. Isai

Physical Science International Journal · pp. 1–8 · Published 12 Jan 2016

10.9734/PSIJ/2016/23236

Abstract

The one-dimensional superlattice (SL) based on a monolayer graphene modulated by the Fermi velocity barriers is considered. We assume that the rectangular barriers are arranged periodically along the SL chain. The energy spectra of the Weyl-Dirac quasi-electrons for this SL are calculated with the help of the transfer matrix method in the continuum model. The Fibonacci quasi-periodic modulation in graphene superlattices with the velocity barriers can be effectively realized by virtue of a difference in the velocity barrier values (no additional factor is needed). And this fact is true for a case of normal incidence of quasi-electrons on a lattice. In contrast to the case of other types of the graphene SL spectra studied reveal the periodic character over all the energy scale and the transmission coefficient doesn’t tend asymptotically to unity at rather large energies. The dependence of spectra on the Fermi velocity magnitude and on the external electrostatic potential as well as on the SL geometrical parameters (width of barriers and quantum wells) is analyzed. The obtained results can be used for applications in the graphene-based electronics.  

Graphene fibonacci superlattice velocity barriers

References (15)

  1. 1 The electronic properties of graphene [DOI]
  2. 2 Tuning the electronic structure of graphene by ion irradiation [DOI]
  3. 3 Electronic band gaps and transport properties in graphene superlattices with one-dimensional periodic potentials of square barriers [DOI]
  4. 4 Velocity-modulation control of electron-wave propagation in graphene [DOI]
  5. 5 Structure and electronic properties of Thue-Morse lattices [DOI]
  6. 6 Klein tunneling in single and multiple barriers in graphene [DOI]
  7. 7 Effect of a velocity barrier on the ballistic transport of Dirac fermions [DOI]
  8. 8 Electronic band gap and transport in Fibonacci quasi-periodic graphene superlattice [DOI]
  9. 9 Robust zero-averaged wave-number gap inside gapped graphene superlattices [DOI]
  10. 10 Ballistic transport through graphene nanostructures of velocity and potential barriers [DOI]
  11. 11 Exotic electronic properties in Thue–Morse graphene superlattices [DOI]
  12. 12 Transport properties of Dirac electrons in graphene based double velocity-barrier structures in electric and magnetic fields [DOI]
  13. 13 Transport properties of graphene under periodic and quasiperiodic magnetic superlattices [DOI]
  14. 14 Novel Transport Properties in Monolayer Graphene with Velocity Modulation [DOI]
  15. 15 Energy Spectra of the Fibonacci Superlattice Based on the Gapped Graphene [DOI]

Cited by 1

The Effect of the Fermi Velocity on the Conductivity of the Graphene-Superconductive Graphene Junction

A. M. Korol, S. I. Litvynchuk, N. V. Medvid · Springer Proceedings in Physics · 2017

Related research

Article metrics

Real usage data collected on this platform.

0

Page views

0

PDF downloads

0

Outbound clicks

1

Citations

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

No views recorded yet.

Traffic sources

Referring site, by host.

No traffic recorded yet.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.