Skip to main content
Log in

Two-dimensional Wannier-Mott exciton in a uniform electric field

  • Low-Dimensional Systems and Surface Physics
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

A new treatment of the problem of a two-dimensional Wannier-Mott exciton in a uniform electric field, based on the parabolic coordinates, is presented. The quasi-stationary Hamiltonian is regularized, and the efficient numerical methods are applied. The dependence of the exciton binding energy on the electric field is computed. The results are very close to those obtained by the perturbation theory calculations.

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. V. M. Agranovich, The Theory of Excitons (Nauka, Moscow, 1968; Pergamon, Oxford, 1970).

    Google Scholar 

  2. R. S. Knox, Theory of Excitons (Academic, New York, 1963; Mir, Moscow, 1966).

    Google Scholar 

  3. E. I. Rashba and M. D. Sturge, Excitons (Nauka, Moscow, 1985).

    Google Scholar 

  4. G. Bastard, Wave Mechanics Applied to Semiconductor Heterostructures (Les Editions de Physique, Les Ulis Cedex, 1988).

    Google Scholar 

  5. C. B. Duke and M. E. Alferieff, Phys. Rev. 145, 583 (1966).

    Article  ADS  Google Scholar 

  6. J. D. Dow and D. Redfield, Phys. Rev. B 1, 3358 (1970).

    Article  ADS  Google Scholar 

  7. D. F. Blossey, Phys. Rev. B 2, 3976 (1970).

    Article  ADS  Google Scholar 

  8. D. F. Blossey, Phys. Rev. B 3, 1382 (1971).

    Article  ADS  Google Scholar 

  9. F. L. Lederman and J. D. Dow, Phys. Rev. B 13, 1633 (1976).

    Article  ADS  Google Scholar 

  10. S. I. Pokutnyi, W. Salejda, J. Misiewicz, and K. Ryczko, Ukr. Phys. J. 43, 1259 (1998).

    Google Scholar 

  11. C. Y. Chao and S. L. Chuang, Phys. Rev. B 43, 6530 (1991).

    ADS  Google Scholar 

  12. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (OGIZ, Moscow, 1948; Pergamon, New York, 1977).

    Google Scholar 

  13. M. Shinada and S. Sugano, J. Phys. Soc. Jpn. 21, 1936 (1966).

    Google Scholar 

  14. Handbook of Mathematical Functions, Ed. by M. Abramowitz and I. A. Stegun (Dover, New York, 1979; Nauka, Moscow, 1979).

    Google Scholar 

  15. P. Dean, Rev. Mod. Phys. 44, 127 (1972).

    Article  ADS  Google Scholar 

  16. J. van der Maelen Uría, S. García-Granda, and A. Menéndez-Velázques, Am. J. Phys. 64, 327 (1996).

    ADS  Google Scholar 

  17. B. Lindberg, J. Chem. Phys. 88, 3805 (1988).

    Article  ADS  Google Scholar 

  18. E. Madelung, Die Mathematischen Hilfsmittel des Physikers (Springer-Verlag, Berlin, 1957; Nauka, Moscow, 1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

From Fizika Tverdogo Tela, Vol. 43, No. 5, 2001, pp. 888–891.

Original English Text Copyright © 2001 by Pokutnyi, Tyc, Salejda, Misiewicz.

This article was submitted in English.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pokutnyi, S.I., Tyc, M.H., Salejda, W. et al. Two-dimensional Wannier-Mott exciton in a uniform electric field. Phys. Solid State 43, 923–926 (2001). https://doi.org/10.1134/1.1371378

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1371378

Keywords

Navigation