Advertisement

Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Band structures of symmetrical graphene superlattice with cells of three regions

Abstract

We study the electronic band structures of massless Dirac fermions in symmetrical graphene superlattice with cells of three regions. opening gaps and additional Dirac points. Finally, we inspect the potential effect on minibands, the anisotropy of group velocity and the energy bands contours near Dirac points. We also discuss the evolution of gap edges and cutoff region near the vertical Dirac points.

This is a preview of subscription content, log in to check access.

Change history

  • 08 October 2018

    Some sentences of the abstract have been removed by mistake. The correct abstract is given below.

  • 08 October 2018

    Some sentences of the abstract have been removed by mistake. The correct abstract is given below.

  • 08 October 2018

    Some sentences of the abstract have been removed by mistake. The correct abstract is given below.

  • 08 October 2018

    Some sentences of the abstract have been removed by mistake. The correct abstract is given below.

References

  1. 1.

    K.S. Novoselov et al., Science 306, 666 (2004)

  2. 2.

    Y. Zhang, Y.-W. Tan, H.L. Störmer, P. Kim, Nature 438, 201 (2005)

  3. 3.

    A.K. Geim, Rev. Mod. Phys. 83, 851 (2011)

  4. 4.

    Y. Zheng, T. Ando, Phys. Rev. B 65, 245420 (2002)

  5. 5.

    V.P. Gusynin, S.G. Sharapov, Phys. Rev. Lett. 95, 146801 (2005)

  6. 6.

    N. Stander, B. Huard, D. Goldhaber-Gordon, Phys. Rev. Lett. 102, 026807 (2009)

  7. 7.

    M.I. Katsnelson, K.S. Novoselov, A.K. Geim, Nat. Phys. 2, 620 (2006)

  8. 8.

    H. Sevincli, M. Topsakal, S. Ciraci, Phys. Rev. B 78, 245402 (2008)

  9. 9.

    A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, A.K. Geim, Rev. Mod. Phys. 81, 109 (2009)

  10. 10.

    S. Marchini, S. Günther, J. Wintterlin, Phys. Rev. B 76, 075429 (2007)

  11. 11.

    A.L. Vázquez de Parga et al., Phys. Rev. Lett. 100, 056807 (2008)

  12. 12.

    J.C. Meyer, C.O. Girit, M.F. Crommie, A. Zettl, Appl. Phys. Lett. 92, 123110 (2008)

  13. 13.

    C.-H. Park, L. Yang, Y.-W. Son, M.L. Cohen, S.G. Louie, Nat. Phys. 4, 213 (2008)

  14. 14.

    C.-H. Park, L. Yang, Y.-W. Son, M.L. Cohen, S.G. Louie, Phys. Rev. Lett. 101, 126804 (2008)

  15. 15.

    C.-H. Park, Y.-W. Son, L. Yang, M.L. Cohen, S.G. Louie, Phys. Rev. Lett. 103, 046808 (2009)

  16. 16.

    L. Brey, H.A. Fertig, Phys. Rev. Lett. 103, 046809 (2009)

  17. 17.

    M. Barbier, P. Vasilopoulos, F.M. Peeters, Phys. Rev. B 81, 075438 (2010)

  18. 18.

    C.H. Pham, H.C. Nguyen, V.L. Nguyen, J. Phys. Condens. Matter 22, 425501 (2010)

  19. 19.

    S. Ghosh, M. Sharma, J. Phys.: Condens. Matter 21, 292204 (2009)

  20. 20.

    M.R. Masir, P. Vasilopoulos, F.M. Peeters, J. Phys.: Condens. Matter 22, 465302 (2010)

  21. 21.

    I. Snyman, Phys. Rev. B 80, 054303 (2009)

  22. 22.

    L. Dell’Anna, A. De Martino, Phys. Rev. B 83, 155449 (2011)

  23. 23.

    V.Q. Le, C.H. Pham, V.L. Nguyen, J. Phys.: Condens. Matter 24, 345502 (2012)

  24. 24.

    J.R. Lima, Phys. Lett. A 379, 1372 (2015)

  25. 25.

    C.H. Pham, V.L. Nguyen, J. Phys.: Condens. Matter 26, 425502 (2014)

  26. 26.

    C.H. Pham, T.T. Nguyen, V.L. Nguyen, J. Appl. Phys. 116, 123707 (2014)

Download references

Author information

Correspondence to Ahmed Jellal.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Kamal, A., Choubabi, E.B. & Jellal, A. Band structures of symmetrical graphene superlattice with cells of three regions. Eur. Phys. J. B 91, 91 (2018). https://doi.org/10.1140/epjb/e2018-80715-7

Download citation

Keywords

  • Mesoscopic and Nanoscale Systems