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Transmission in graphene through time-oscillating linear barrier

  • El Bouâzzaoui Choubabi
  • Ahmed JellalEmail author
  • Miloud Mekkaoui
Regular Article
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Abstract

Transmission probabilities of Dirac fermions in graphene under linear barrier potential oscillating in time are investigated. Solving Dirac equation we end up with the solutions of the energy spectrum depending on several modes coming from the oscillations. These will be used to obtain a transfer matrix that allows to determine transmission amplitudes of all modes. Due to numerical difficulties in truncating the resulting coupled channel equations, we limit ourselves to low quantum channels, i.e. l = 0, ± 1, and study the three corresponding transmission probabilities.

Graphical abstract

Keywords

Mesoscopic and Nanoscale Systems 

References

  1. 1.
    K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, Y. Zhang, S.V. Dubonos, I.V. Grigorieva, A.A. Firsov, Science 306, 666 (2004) ADSCrossRefGoogle Scholar
  2. 2.
    K.S. Novoselov, A.K. Geim, S.V. Morozov, D. Jiang, M.I. Katsnelson, I.V. Grigorieva, S.V. Dubonos, A.A. Firsov, Nature 438, 197 (2005) ADSCrossRefGoogle Scholar
  3. 3.
    A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, A.K. Geim, Rev. Mod. Phys. 81, 109 (2009) ADSCrossRefGoogle Scholar
  4. 4.
    C.W. Beenakker, Rev. Mod. Phys. 80, 1337 (2008) ADSCrossRefGoogle Scholar
  5. 5.
    A.H. Dayem, R.J. Martin, Phys. Rev. Lett. 8, 246 (1962) ADSCrossRefGoogle Scholar
  6. 6.
    P.K. Tien, J.P. Gordon, Phys. Rev. 129, 647 (1963) ADSCrossRefGoogle Scholar
  7. 7.
    M. Moskalets, M. Buttiker, Phys. Rev. B 66, 035306 (2002) ADSCrossRefGoogle Scholar
  8. 8.
    M. Wagner, Phys. Rev. A 51, 798 (1995) ADSCrossRefGoogle Scholar
  9. 9.
    M. Wagner, Phys. Rev. B 49, 16544 (1994) ADSCrossRefGoogle Scholar
  10. 10.
    F. Grossmann, T. Dittrich, P. Jung, P. Hanggi, Phys. Rev. Lett. 67, 516 (1991) ADSCrossRefGoogle Scholar
  11. 11.
    T. Oka, H. Aoki, Phys. Rev. B 79, 081406(R) (2009) ADSCrossRefGoogle Scholar
  12. 12.
    N.H. Lindner, G. Refael, V. Galitski, Nat. Phys. 7, 490 (2011) CrossRefGoogle Scholar
  13. 13.
    O. Roslyak, G. Gumbs, D. Huang, J. Appl. Phys. 109, 113721 (2011) ADSCrossRefGoogle Scholar
  14. 14.
    T. Kitagawa, E. Berg, M. Rudner, E. Demler, Phys. Rev. B 82, 235114 (2010) ADSCrossRefGoogle Scholar
  15. 15.
    T. Kitagawa, T. Oka, A. Brataas, L. Fu, E. Demler, Phys. Rev. B 84, 235108 (2011) ADSCrossRefGoogle Scholar
  16. 16.
    H.L. Calvo, H.M. Pastawski, S. Roche, L.E.F. Foa Torres, Appl. Phys. Lett. 98, 232103 (2011) ADSCrossRefGoogle Scholar
  17. 17.
    Z. Gu, H.A. Fertig, D.P. Arovas, A. Auerbach, Phys. Rev. Lett. 107, 216601 (2011) ADSCrossRefGoogle Scholar
  18. 18.
    H. Bahlouli, E.B. Choubabi, A. El Mouhafid, A. Jellal, Solid State Commun. 151, 1309 (2011) ADSCrossRefGoogle Scholar
  19. 19.
    A. Jellal, M. Mekkaoui, E.B. Choubabi, H. Bahlouli, Eur. Phys. J. B 87, 123 (2014) ADSCrossRefGoogle Scholar
  20. 20.
    J. Tworzydlo, B. Trauzettel, M. Titov, A. Rycerz, C.W.J. Beenakker, Phys. Rev. Lett. 96, 246802 (2006) ADSCrossRefGoogle Scholar
  21. 21.
    M.V. Berry, R.J. Modragon, Proc. R. Soc. Lond. Ser. A 412, 53 (1987) ADSCrossRefGoogle Scholar
  22. 22.
    A. Jellal, E.B. Choubabi, H. Bahlouli, A. Ajaafari, J. Low Temp. Phys. 168, 40 (2012) ADSCrossRefGoogle Scholar
  23. 23.
    A.D. Alhaidari, A. Jellal, E.B. Choubabi, H. Bahlouli, Quantum Matter 2, 140 (2013) CrossRefGoogle Scholar
  24. 24.
    H. Bahlouli, E.B. Choubabi, A. Jellal, M. Mekkaoui, J. Low Temp. Phys. 159, 51 (2012) ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  • El Bouâzzaoui Choubabi
    • 1
  • Ahmed Jellal
    • 1
    • 2
    Email author
  • Miloud Mekkaoui
    • 1
  1. 1.Laboratory of Theoretical Physics, Faculty of Sciences, Chouaïb Doukkali UniversityEl JadidaMorocco
  2. 2.Saudi Center for Theoretical PhysicsDhahranSaudi Arabia

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