Journal of Computational Electronics

, Volume 10, Issue 1–2, pp 35–43 | Cite as

Parity induced edge-current saturation and current distribution in zigzag-edged graphene nano-ribbon devices

  • Satofumi Souma
  • Matsuto Ogawa
  • Takahiro Yamamoto
  • Kazuyuki Watanabe
Article

Abstract

We show computationally that the current-voltage characteristics of the zigzag-edged graphene nanoribbon (ZGNR) with the even width exhibit remarkable current saturation behavior in spite of the absence of the bandgap. Mechanism of such current-saturation behavior can be understood to be originated from the symmetries of the wavefunctions corresponding to the edge states in ZGNR. We further demonstrate that the current-voltage characteristics of ZGNR can be drastically changed even by the presence of a single lattice vacancy, with the strong dependence on the position of the vacancy. The origin of such properties is intuitively understood by analyzing the transmission probabilities through such systems.

Keywords

Quantum transport Non-equilibrium Green’s function Graphene nanoribbon 

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References

  1. 1.
    Novoselov, K.S., et al.: Science 306, 666 (2004) CrossRefGoogle Scholar
  2. 2.
    Williams, J.R., DiCarlo, L., Marcus, C.M.: Science 317, 638 (2007) CrossRefGoogle Scholar
  3. 3.
    Han, M.Y., Özyilmaz, B., Zhang, Y., Kim, P.: Phys. Rev. Lett. 98, 206805 (2007) CrossRefGoogle Scholar
  4. 4.
    Chen, Z., Lin, Y.-M., Rooks, M.J., Avouris, P.: Physica E 40, 228 (2007) CrossRefGoogle Scholar
  5. 5.
    Nakada, K., Fujita, M., Dresselhaus, G., Dresselhaus, M.S.: Phys. Rev. B 54, 17954 (1996) CrossRefGoogle Scholar
  6. 6.
    Fujita, M., Wakabayashi, K., Nakada, K., Kusakabe, K.: J. Phys. Soc. Jpn. 65, 1920 (1996) CrossRefGoogle Scholar
  7. 7.
    Ouyang, Y., Yoon, Y., Guo, J.: IEEE Trans. Electron Devices 54, 2223 (2007) CrossRefGoogle Scholar
  8. 8.
    Guo, J., Yoon, Y., Ouyang, Y.: Nano Lett. 7, 1935 (2007) CrossRefGoogle Scholar
  9. 9.
    Liang, G., Neophytou, N., Lundstrom, M., Nikonov, D.E.: J. Appl. Phys. 102, 054307 (2007) CrossRefGoogle Scholar
  10. 10.
    Rojas, F.M., Rossier, J.F., Brey, L., Palacios, J.J.: Phys. Rev. B 77, 045301 (2008) CrossRefGoogle Scholar
  11. 11.
    Miyamoto, Y., Nakada, K., Fujita, M.: Phys. Rev. B 59, 9858 (1999) CrossRefGoogle Scholar
  12. 12.
    Miyamoto, Y., Nakada, K., Fujita, M.: Phys. Rev. B 60, 16211 (1999) CrossRefGoogle Scholar
  13. 13.
    Kobayashi, Y., Fukui, K., Enoki, T., Kusakabe, K., Kaburagi, Y.: Phys. Rev. 71, 193406 (2005) CrossRefGoogle Scholar
  14. 14.
    Okada, S., Oshiyama, A.: Phys. Rev. B 87, 146803 (2001) CrossRefGoogle Scholar
  15. 15.
    Kusakabe, K., Maruyama, M.: Phys. Rev. B 67, 092406 (2003) CrossRefGoogle Scholar
  16. 16.
    Son, Y.-W., Cohen, M.L., Louie, S.G.: Nature 444, 347 (2006) CrossRefGoogle Scholar
  17. 17.
    Souma, S., Yamamoto, T., Watanabe, K.: J. Surf. Sci. Nanotech. 4, 78 (2006) CrossRefGoogle Scholar
  18. 18.
    Souma, S., Ogawa, M., Yamamoto, T., Watanabe, K.: J. Comput. Electron. 7, 390 (2008) CrossRefGoogle Scholar
  19. 19.
    Obradovic, B., Kotlyar, R., Heinz, F., Matagne, P., Rakshit, T., Nikonov, D., Giles, M.D., Stettler, M.A.: Appl. Phys. Lett. 88, 142102 (2006) CrossRefGoogle Scholar
  20. 20.
    Brandbyge, M., Mozos, J., Ordejon, P., Taylor, J., Stokbro, K.: Phys. Rev. B 65, 165401 (2002) CrossRefGoogle Scholar
  21. 21.
    Soler, J.M., Artacho, E., Gale, J.D., García, A., Junquera, J., Ordejón, P., Sánchez-Portal, D.: J. Phys., Condens. Matter 14, 2745 (2002) CrossRefGoogle Scholar
  22. 22.
    Sankey, O., Niklewski, D.J.: Phys. Rev. B 40, 3979 (1989) CrossRefGoogle Scholar
  23. 23.
    Troullier, N., Martins, J.L.: Phys. Rev. B 43, 1993 (1991) CrossRefGoogle Scholar
  24. 24.
    Ceperley, D.M., Alder, B.J.: Phys. Rev. Lett. 45, 566 (1980) CrossRefGoogle Scholar
  25. 25.
    Perdew, J.P., Zunger, A.: Phys. Rev. B 23, 5048 (1981) CrossRefGoogle Scholar
  26. 26.
    Porezag, D., Frauenheim, T., Köhler, T., Seifert, G., Kaschner, R.: Phys. Rev. B 51, 12947 (1995) CrossRefGoogle Scholar
  27. 27.
    Elstner, M., Prezag, D., Jugnickel, G., Elsner, J., Haugk, M., Frauenheim, T., Suhai, S., Seifer, G.: Phys. Rev. B 58, 7260 (1998) CrossRefGoogle Scholar
  28. 28.
    Ando, T.: Phys. Rev. B 381, 398 (1996) Google Scholar
  29. 29.
    Fisher, D., Lee, P.: Phys. Rev. B 381, 398 (1996) Google Scholar
  30. 30.
    Wakabayashi, K., Aoki, T.: Int. J. Mod. Phys. B 16, 4897 (2002) CrossRefGoogle Scholar
  31. 31.
    Akhmerov, A.R., Bardarson, J.H., Rycerz, A., Beenakker, C.W.: Phys. Rev. B 77, 205416 (2008) CrossRefGoogle Scholar
  32. 32.
    Wang, Z.F., Li, Q., Shi, Q.W., Wang, X., Yang, J., Hou, J.G., Chen, J.: Appl. Phys. Lett. 92, 133114 (2008) CrossRefGoogle Scholar
  33. 33.
    Nakabayashi, J., Yamamoto, D., Kurihara, S.: Phys. Rev. Lett. 102, 066803 (2009) CrossRefGoogle Scholar
  34. 34.
    Hsu, H., Reichl, L.E.: Phys. Rev. B 76, 045418 (2007) CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media LLC 2011

Authors and Affiliations

  • Satofumi Souma
    • 1
  • Matsuto Ogawa
    • 1
  • Takahiro Yamamoto
    • 2
  • Kazuyuki Watanabe
    • 3
  1. 1.Department of Electric and Electronic EngineeringKobe UniversityKobeJapan
  2. 2.Department of Materials EngineeringThe University of TokyoTokyoJapan
  3. 3.Department of Physics, Faculty of ScienceTokyo University of ScienceTokyoJapan

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