Skip to main content
SpringerLink
Log in

Electron spectrum of a single-wall carbon nanotube in the framework of the nonlinear Schrödinger equation

  • Electronic Properties of Solid
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

The electron spectrum of a single-wall carbon metal nanotube is analyzed numerically. The interaction of a free electron with atomic ions and bound electrons is approximated by an attractive delta-function potential in the single-particle Schrödinger equation. The interaction of an electron with other free electrons is presented by the Hartree nonlinear repulsive short-range potential.

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. P. J. F. Harris, Carbon Nanotubes and Related Structures: New Materials for the Twenty-First Century (Cambridge University Press, Cambridge, 2004).

    Google Scholar 

  2. P. L. McEuen, M. Fuhrer, and H. Park, IEEE Trans. Nanotechnol. 1 (1), 78 (2002).

    Article  ADS  Google Scholar 

  3. E. T. Thostenson, Z. Ren, and T. W. Chou, Compos. Sci. Technol. 61, 1899 (2001).

    Article  Google Scholar 

  4. J. W. Mintmire, B. I. Dunlap, and C. T. White, Phys. Rev. Lett. 68, 631 (1992).

    Article  ADS  Google Scholar 

  5. R. Saito, M. Fujita, G. Dresselhaus, and M. S. Dresselhaus, Phys. Rev. B: Condens. Matter 46, 1804 (1992)

    Article  ADS  Google Scholar 

  6. N. Hamada, S. Sawada, and A. Oshiyama, Phys. Rev. Lett. 68, 1579 (1992).

    Article  ADS  Google Scholar 

  7. A. Kasumov, M. Kociak, M. Ferrier, R. Deblock, S. Guéron, B. Reulet, I. Khodos, O. Stéphan, and H. Bouchiat, Phys. Rev. B: Condens. Matter 68, 214521 (2003)

    Article  ADS  Google Scholar 

  8. D. R. Barbero et al., Adv. Mater. (Weinheim) 26, 2046 (2014).

    Google Scholar 

  9. D. Shah, N. A. Bruque, K. Alam, R. K. Lake, and R. R. Pandey, J. Comput. Electron. 6, 395 (2007)

    Article  Google Scholar 

  10. R. Demichelis, Y. Noël, P. D’Arco, M. Rérat, C. M. Zicovich-Wilson, and R. Dovesi, J. Phys. Chem. C 115, 8876 (2011)

    Article  Google Scholar 

  11. J. Luo, L.-M. Peng, Z. Q. Xue, and J. L. Wu, Phys. Rev. B: Condens. Matter 66, 115415 (2002).

    Article  ADS  Google Scholar 

  12. J. W. G. Wilder, L. C. Venema, A. G. Rinzler, R. E. Smalley and C. Dekker, Nature (London) 391, 59 (1998)

    Article  ADS  Google Scholar 

  13. Ph. Collins, M. S. Arnold, and P. Avouris, Science (Washington) 292, 706 (2007).

    Article  ADS  Google Scholar 

  14. M. J. O’Connell, S. M. Bachilo, C. B. Huffman, V. C. Moore, M. S. Strano, E. H. Haroz, K. L. Rialon, P. J. Boul, W. H. Noon, C. Kittrell, J. Ma, R. H. Hauge, R. B. Weisman, and R. E. Smalley, Science (Washington) 297, 593 (2002)

    Article  ADS  Google Scholar 

  15. J. Lefebvre, Y. Homma, and P. Finnie, Phys. Rev. Lett. 90, 217401 (2003).

    Article  ADS  Google Scholar 

  16. A. A. Abrikosov, Jr., D. V. Livanov, and A. A. Varlamov, Phys. Rev. B: Condens. Matter 71, 165423 (2005).

    Article  ADS  Google Scholar 

  17. E. H. Lieb and F. Y. Wu, Physica A (Amsterdam) 321, 1 (2003)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. M. Bockrath, D. H. Cobden, J. Lu, A. G. Rinzler, R. E. Smalley, L. Balents, and P. L. McEuen, Nature (London) 397, 598 (1999).

    Article  ADS  Google Scholar 

  19. V. I. Yukalov, E. P. Yukalova, and V. S. Bagnato, Phys. Rev. A: At., Mol., Opt. Phys. 56, 4845 (1997)

    Article  ADS  Google Scholar 

  20. V. I. Yukalov, Laser Phys. 19, 1 (2009).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, 141700, Russia

    H. A. Ishkhanyan & V. P. Krainov

  2. Institute for Physical Research, National Academy of Sciences of Armenia, Ashtarak-2, Ashtarak, 0203, Armenia

    H. A. Ishkhanyan

Authors
  1. H. A. Ishkhanyan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. P. Krainov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. P. Krainov.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ishkhanyan, H.A., Krainov, V.P. Electron spectrum of a single-wall carbon nanotube in the framework of the nonlinear Schrödinger equation. J. Exp. Theor. Phys. 121, 289–293 (2015). https://doi.org/10.1134/S1063776115090149

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776115090149

Keywords

Search

Navigation