Skip to main content
Log in

Landau quantization and equatorial states on the surface of a nanosphere

  • Condensed Matter
  • Published:
Journal of Experimental and Theoretical Physics Letters Aims and scope Submit manuscript

Abstract

The Landau quantization for the electron gas on the surface of a sphere is considered. It is shown that in the regime of strong fields the lowest energy states are those with magnetic quantum numbers m of order of Φ /Φ0, the number of magnetic flux quanta piercing the sphere. For an electron gas of low density (semiconducting situation) it leads to the formation of an electronic stripe on the equator of the sphere in high fields.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Y. Miyamoto, S. G. Louie, and M. L. Cohen, Phys. Rev. Lett. 78, 2811 (1997); H. Yoshioka and A. A. Odintsov, Phys. Rev. Lett. 82, 374 (1999).

    Google Scholar 

  2. N. A. Nicorovici, R. C. McPhedran, and G. W. Milton, Phys. Rev. B 49, 8479 (1994); K. W. Yu, P. M. Hui, and D. Stroud, Phys. Rev. B 47, 14150 (1993).

    Article  ADS  Google Scholar 

  3. For a review, see W. A. de Heer, Rev. Mod. Phys. 65, 611 (1993).

    ADS  Google Scholar 

  4. S. G. Romanov, N. P. Johnson, A. V. Fokin et al., Appl. Phys. Lett. 70, 2091 (1997); Yu. A. Vlasov, V. N. Astratov, and O. Z. Karimov et al., Phys. Rev. B 55, R13357 (1997); H. Miguez, A. Blanco, F. Meseguer et al., Phys. Rev. B 59, 1563 (1999).

    Article  ADS  Google Scholar 

  5. D. J. Bergman, O. Levy, and D. Stroud, Phys. Rev. B 49, 129 (1994).

    ADS  Google Scholar 

  6. W. Ekardt, Phys. Rev. B 34, 526 (1986).

    ADS  Google Scholar 

  7. D. N. Aristov, Phys. Rev. B 60, 2851 (1999).

    ADS  Google Scholar 

  8. D. N. Aristov, Phys. Rev. B 59, 6368 (1999).

    Article  ADS  Google Scholar 

  9. E. Kamke, Gewöhnliche Differentialgleichungen, Akad. Verlag, Leipzig, 1959.

    Google Scholar 

  10. C. Flammer, Spheroidal Wave Functions, Stanford University Press, Stanford, 1957.

    Google Scholar 

  11. X. G. Wen, Phys. Rev. B 41, 12838 (1990); 43, 11025 (1991).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Pis’ma Zh. Éksp. Teor. Fiz. 70, No. 6, 405–409 (25 September 1999)

Published in English in the original Russian journal. Edited by Steve Torstveit.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aristov, D.N. Landau quantization and equatorial states on the surface of a nanosphere. Jetp Lett. 70, 410–414 (1999). https://doi.org/10.1134/1.568189

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.568189

PACS numbers

Navigation