Skip to main content
SpringerLink
Log in

Edge Confinement of a Two-Dimensional Electron Gas and Its Relevance to the Electron Density Near a Vacancy Defect in Graphite

  • Published:
Journal of Mathematical Chemistry Aims and scope Submit manuscript

Abstract

Motivated by electron-tunnelling microscopy showing enhancement of electron density near the HOMO level in graphite, we present an analytical solution for the density in a two-dimensional free-electron assembly subject to edge confinement. In fact starting from the so-called Slater sum of statistical mechanics, the general result for arbitrary dimension d is obtained for this electron gas model.

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.L. Giunta and S.P. Kelty, J. Chem. Phys. 114 (2001) 1807.

    Google Scholar 

  2. K. Tada and K. Watanabe, Phys. Rev. Lett. 88 (2002) 127601.

    Google Scholar 

  3. J.R. Hahn, H, Kang, S. Song and I.C. Jeon, Phys. Rev. B 53 (1996) R1725.

    Google Scholar 

  4. Z. Klusek, Z. Waqar, E.A. Denisov, T.N. Kompaniets, I.V. Makarenko, A.N. Titkov and A.S. Bhatti, Appl. Surf. Sci. 161 (2000) 508.

    Google Scholar 

  5. M.J. Stott, S. Baranovsky and N.H. March, Proc. Roy. Soc. London Ser. A 316 (1970) 201.

    Google Scholar 

  6. N.H. March, Varenna Lectures: Enrico Fermi Course, ed. G. Caglioti (1970).

  7. N.D. Lang and W. Kohn, Phys. Rev. B 1 (1970) 4555.

    Google Scholar 

  8. N.H. March, J. Math. Phys. 28 (1987) 2975.

    Google Scholar 

  9. J. Bardeen, Phys. Rev. 49 (1936) 653.

    Google Scholar 

  10. A. Blandin, E. Daniel and J. Friedel, Philos. Magazine 4 (1959) 180.

    Google Scholar 

  11. N.H. March and A.M. Murray, Proc. Roy. Soc. London Ser. A 256 (1960) 400.

    Google Scholar 

  12. N.H. March and A.M. Murray, Phys. Rev. 120 (1960) 830.

    Google Scholar 

  13. I.P. Batra N. Garcia, H. Rohrer, H. Salemink, E. Stoll and S. Ciraci, Surf. Sci. 181 (1987) 126.

    Google Scholar 

  14. D. Tomanek, S.G. Louie, D.J. Mamin, D.W. Abraham, R.E. Thompson, E. Ganz and J. Clarke, Phys. Rev. B 35 (1987) 7790.

    Google Scholar 

  15. M. Hjort and S. Stafstroem, Phys. Rev. B 61 (2000) 14089.

    Google Scholar 

  16. O. Ivanciuc, L. Bytautas and D.J. Klein, J. Chem. Phys. 116 (2002) 5735.

    Google Scholar 

Download references

Authors
  1. I.A. Howard
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N.H. March
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D.J. Klein
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Howard, I., March, N. & Klein, D. Edge Confinement of a Two-Dimensional Electron Gas and Its Relevance to the Electron Density Near a Vacancy Defect in Graphite. Journal of Mathematical Chemistry 32, 31–37 (2002). https://doi.org/10.1023/A:1021263223403

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021263223403

Keywords

Search

Navigation