Skip to main content
SpringerLink
Log in

Transmission and Goos-Hänchen like shifts through a graphene double barrier in an inhomogeneous magnetic field

  • Regular Article
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

We studied the transport properties of electrons in graphene as they are scattered by a double barrier potential in the presence of an inhomogeneous magnetic field. We computed the transmission coefficient and Goos-Hänchen like shifts for our system and noticed that transmission is not allowed for certain range of energies. In particular, we found that, in contrast to the electrostatic barriers, the magnetic barriers are able to confine Dirac fermions. We also established some correlation between the electronic transmission properties of Dirac fermions with the Goos-Hänchen like shifts, as reflected in the numerical data.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. 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)

    Article  ADS  Google Scholar 

  2. R. Nair, P. Blake, A. Grigorenko, K. Novoselov, T. Booth, T. Stauber, N. Peres, A. Geim, Science 320, 1308 (2008)

    Article  ADS  Google Scholar 

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

    Article  Google Scholar 

  4. A.F. Young, P. Kim, Nat. Phys. 5, 222 (2009)

    Article  Google Scholar 

  5. 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)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  7. A. De Martino, L. Dell′ Anna, R. Egger, Phys. Rev. Lett. 98, 066802 (2007)

    Article  ADS  Google Scholar 

  8. P.D. Ye, D. Weiss, R.R. Gerhardts, M. Seeger, K. von Klitzing, K. Eberl, H. Nickel, Phys. Rev. Lett. 74, 3013 (1995)

    Article  ADS  Google Scholar 

  9. D. Lawton, A. Nogaret, M.V. Makarenko, O.V. Kibis, S.J. Bending, M. Henini, Physica E 13, 699 (2002)

    Article  ADS  Google Scholar 

  10. T.K. Ghosh, A. De Martino, W. Häusler, L. Dell′Anna, R. Egger, Phys. Rev. B 77, 081404(R) (2008)

    Article  ADS  Google Scholar 

  11. X. Chen, J.-W. Tao, Y. Ban, Eur. Phys. J. B 79, 203 (2011)

    Article  ADS  Google Scholar 

  12. Y. Song, H-C. Wu, Y. Guo, Appl. Phys. Lett. 100, 253116 (2012)

    Article  ADS  Google Scholar 

  13. A. Jellal, I. Redouani, Y. Zahidi, H. Bahlouli, Physica E 58, 30 (2014)

    Article  ADS  Google Scholar 

  14. X. Chen, P.-L. Zhao, X.-J. Lu, L.-G. Wang, Eur. Phys. J. B 86, 223 (2013)

    Article  ADS  Google Scholar 

  15. M. Sharma, S.J. Ghosh, J. Phys.: Condens. Matter 23, 055501 (2011)

    ADS  Google Scholar 

  16. J.-H. Huang, Z.-L. Duan, H.-Y. Ling, W.-P. Zhang, Phys. Rev. A 77, 063608 (2008)

    Article  ADS  Google Scholar 

  17. C.W.J. Beenakker, R.A. Sepkhanov, A.R. Akhmerov, J. Tworzydlo, Phys. Rev. Lett. 102, 146804 (2009)

    Article  ADS  Google Scholar 

  18. L. Zhao, S.F. Yelin, Phys. Rev. B 81, 115441 (2010)

    Article  ADS  Google Scholar 

  19. Z. Wu, F. Zhai, F.M. Peeters, H.Q. Xu, K. Chang, Phys. Rev. Lett. 106, 176802 (2011)

    Article  ADS  Google Scholar 

  20. A. Jellal, Y. Wang, Y. Zahidi, M. Miloud, Physica E 68, 53 (2015)

    Article  ADS  Google Scholar 

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

    Google Scholar 

  22. F. Zhai, K. Chang, Phys. Rev. B 77, 113409 (2008)

    Article  ADS  Google Scholar 

  23. F. Zhai, K. Chang, Phys. Rev. B 82, 115442 (2010)

    Article  ADS  Google Scholar 

  24. X. Chen, Y. Ban, C.-F. Li, J. Appl. Phys. 105, 093710 (2009)

    Article  ADS  Google Scholar 

  25. X. Chen, C.-F. Li, Y. Ban, Phys. Rev. B 77, 073307 (2008)

    Article  ADS  Google Scholar 

  26. S. Bhattacharjee, M. Maiti, K. Sengupta, Phys. Rev. B 76, 184514 (2007)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Theoretical Physics Group, Faculty of Sciences, Chouaïb Doukkali University, PO Box 20, 24000, El Jadida, Morocco

    Miloud Mekkaoui & Ahmed Jellal

  2. Saudi Center for Theoretical Physics, Dhahran, Saudi Arabia

    Ahmed Jellal & Hocine Bahlouli

  3. Physics Department, King Fahd University of Petroleum/Minerals, 31261, Dhahran, Saudi Arabia

    Hocine Bahlouli

Authors
  1. Miloud Mekkaoui
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ahmed Jellal
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Hocine Bahlouli
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ahmed Jellal.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mekkaoui, M., Jellal, A. & Bahlouli, H. Transmission and Goos-Hänchen like shifts through a graphene double barrier in an inhomogeneous magnetic field. Eur. Phys. J. B 89, 23 (2016). https://doi.org/10.1140/epjb/e2015-60729-5

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2015-60729-5

Keywords

Search

Navigation