Journal of Low Temperature Physics

, Volume 173, Issue 5–6, pp 264–281

Transport Properties for Triangular Barriers in Graphene Nanoribbon

Article

Abstract

We theoretically study the electronic transport properties of Dirac fermions through one and double triangular barriers in graphene nanoribbon. Using the transfer matrix method, we determine the transmission, conductance and Fano factor. They are obtained to be various parameters dependent such as well width, barrier height and barrier width. Therefore, different discussions are given and comparison with the previous significant works is done. In particular, it is shown that at Dirac point the Dirac fermions always own a minimum conductance associated with a maximum Fano factor and change their behaviors in an oscillatory way (irregularly periodical tunneling peaks) when the potential of applied voltage is increased.

Keywords

Graphene Scattering Triangular potential Transmission 

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.
    N. Stander, B. Huard, D. Goldhaber-Gordon, Phys. Rev. Lett. 102, 026807 (2009) ADSCrossRefGoogle Scholar
  3. 3.
    M.I. Katsnelson, K.S. Novoselov, A.K. Geim, Nat. Phys. 2, 620 (2006) CrossRefGoogle Scholar
  4. 4.
    H. Sevincli, M. Topsakal, S. Ciraci, Phys. Rev. B 78, 245402 (2008) ADSCrossRefGoogle Scholar
  5. 5.
    W. Van Roy, J. De Boeck, G. Borghs, Appl. Phys. Lett. 61, 3056 (1992) ADSCrossRefGoogle Scholar
  6. 6.
    F.M. Peeters, A. Matulis, Phys. Rev. B 48, 15166 (1993) ADSCrossRefGoogle Scholar
  7. 7.
    H.A. Carmona, A.K. Geim, A. Nogaret, P.C. Main, T.J. Foster, M. Henini, Phys. Rev. Lett. 74, 3009 (1995) ADSCrossRefGoogle Scholar
  8. 8.
    P.D. Ye, D. Weiss, R.R. Gerhardts, M. Seeger, K. von Klitzing, K. Eberl, H. Nickel, Phys. Rev. Lett. 74, 3013 (1995) ADSCrossRefGoogle Scholar
  9. 9.
    S. Mukhopadhyay, R. Biswas, C. Sinha, Phys. Status Solidi B 247, 342 (2010) ADSCrossRefGoogle Scholar
  10. 10.
    A.D. Alhaidari, H. Bahlouli, A. Jellal, Adv. Math. Phys. 762908 (2012) Google Scholar
  11. 11.
    K.S. Novoselov, E. McCann, S.V. Morozov, V.I. Fal’ko, M.I. Katsnelson, U. Zeitler, D. Jiang, F. Schedin, A.K. Geim, Nat. Phys. 2, 177 (2006) CrossRefGoogle Scholar
  12. 12.
    L. Dell’Anna, A. De Martino, Phys. Rev. B 79, 045420 (2009) ADSCrossRefGoogle Scholar
  13. 13.
    Y.X. Li, J. Phys.: Condens. Matter 22, 015302 (2010) ADSCrossRefGoogle Scholar
  14. 14.
    M. Ramezani Masir, P. Vasilopoulos, F.M. Peeters, Phys. Rev. B 79, 035409 (2009) ADSCrossRefGoogle Scholar
  15. 15.
    J. Tworzydlo, B. Trauzettel, M. Titov, A. Rycerz, C.W.J. Beenakker, Phys. Rev. Lett. 96, 246802 (2006) ADSCrossRefGoogle Scholar
  16. 16.
    M. Ramezani Masir, P. Vasilopoulos, F.M. Peeters, New J. Phys. 11, 095009 (2009) ADSCrossRefGoogle Scholar
  17. 17.
    E.B. Choubabi, M. El Bouziani, A. Jellal, Int. J. Geom. Methods Mod. Phys. 7, 909 (2010) MathSciNetCrossRefMATHGoogle Scholar
  18. 18.
    A. Jellal, A. El Mouhafid, J. Phys. A, Math. Theor. 44, 015302 (2011) MathSciNetADSCrossRefGoogle Scholar
  19. 19.
    A.H. Castro Neto, F. Guinea, N.M.R. Peres, K.S. Novoselov, A.K. Geim, Rev. Mod. Phys. 81, 109 (2009) ADSCrossRefGoogle Scholar
  20. 20.
    O. Klein, Z. Phys. 53, 157 (1929) ADSCrossRefMATHGoogle Scholar
  21. 21.
    F. Sauter, Z. Phys. 69, 742 (1931) ADSCrossRefGoogle Scholar
  22. 22.
    A. Hansen, F. Ravndal, Phys. Scr. 23, 1036 (1981) ADSCrossRefGoogle Scholar
  23. 23.
    S. De Leo, P.P. Rotelli, Phys. Rev. A 73, 042107 (2006) MathSciNetADSCrossRefGoogle Scholar
  24. 24.
    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
  25. 25.
    Y. Zhang, Y.-W. Tan, H.L. Stormer, P. Kim, Nature 438, 201 (2005) ADSCrossRefGoogle Scholar
  26. 26.
    V.P. Gusynin, S.G. Sharapov, Phys. Rev. Lett. 95, 146801 (2005) ADSCrossRefGoogle Scholar
  27. 27.
    K. Nomura, A.H. MacDonald, Phys. Rev. Lett. 96, 256602 (2006) ADSCrossRefGoogle Scholar
  28. 28.
    M.V. Berry, R.J. Modragon, Proc. R. Soc. Lond. Ser. A 412, 53 (1987) ADSCrossRefGoogle Scholar
  29. 29.
    K.F. Brennan, C.J. Summers, J. Appl. Phys. 61, 614 (1987) ADSCrossRefGoogle Scholar
  30. 30.
    S.S. Allen, S.L. Richardson, Phys. Rev. B 50, 11693 (1994) ADSCrossRefGoogle Scholar
  31. 31.
    H. Bahlouli, E.B. Choubabi, A. EL Mouhafid, A. Jellal, Solid State Commun. 151, 1309 (2011) ADSCrossRefGoogle Scholar
  32. 32.
    A.D. Alhaidari, A. Jellal, E.B. Choubabi, H. Bahlouli, Quantum Matter 2, 140 (2013) CrossRefGoogle Scholar
  33. 33.
    H. Inaba, K. Kurosawa, M. Okuda, Jpn. J. Appl. Phys. 28, 2201 (1989) ADSCrossRefGoogle Scholar
  34. 34.
    B.H.J. McKellar, G.J. Stephenson Jr., Phys. Rev. C 35, 2262 (1987) MathSciNetADSCrossRefGoogle Scholar
  35. 35.
    M. Barbier, F.M. Peeters, P. Vasilopoulos, J.M. Pereira, Phys. Rev. B 77, 115446 (2008) ADSCrossRefGoogle Scholar
  36. 36.
    R. Danneau, F. Wu, M.F. Craciun, S. Russo, M.Y. Tomi, J. Salmilehto, A.F. Morpurgo, P.J. Hakonen, J. Low Temp. Phys. 153, 374 (2008) ADSCrossRefGoogle Scholar
  37. 37.
    Y.M. Blanter, M. Büttiker, Phys. Rep. 336, 1 (2000) ADSCrossRefGoogle Scholar
  38. 38.
    I. Snyman, C.W.J. Beenakker, Phys. Rev. B 75, 045322 (2007) ADSCrossRefGoogle Scholar
  39. 39.
    N.M.R. Peres, J. Phys.: Condens. Matter 21, 323201 (2009) CrossRefGoogle Scholar
  40. 40.
    L. DiCarlo, J.R. Williams, Y. Zhang, D.T. McClure, C.M. Marcus, Phys. Rev. Lett. 100, 156801 (2008) ADSCrossRefGoogle Scholar
  41. 41.
    M.I. Katsnelson, Eur. Phys. J. B 51, 157 (2006) ADSCrossRefGoogle Scholar
  42. 42.
    M.I. Katsnelson, Eur. Phys. J. B 52, 151 (2006) ADSCrossRefGoogle Scholar
  43. 43.
    C.W.J. Beenakker, M. Buttiker, Phys. Rev. B 46, 1889 (1992) ADSCrossRefGoogle Scholar
  44. 44.
    K. Nagaev, Phys. Lett. A 169, 103 (1992) ADSCrossRefGoogle Scholar
  45. 45.
    E.V. Gorbar, V.P. Gusynin, V.A. Miransky, I.A. Shovkovy, Phys. Rev. B 66, 045108 (2002) ADSCrossRefGoogle Scholar
  46. 46.
    M. Ramezani Masir, P. Vasilopoulos, F.M. Peeters, Phys. Rev. B 82, 115417 (2010) ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Theoretical Physics Group, Faculty of SciencesChouaïb Doukkali UniversityEl JadidaMorocco
  2. 2.Saudi Center for Theoretical PhysicsDhahranSaudi Arabia
  3. 3.Physics Department, College of SciencesKing Faisal UniversityAlahssaSaudi Arabia

Personalised recommendations