Skip to main content
SpringerLink
Log in

Resonant tunneling, eigenvalue and energy band calculation for potential and periodic potential structures

  • Surfaces And Multilayers
  • Published:
Applied Physics A Aims and scope Submit manuscript

Abstract

Recursion formulae for the reflection and the transmission probability amplitudes and the eigenvalue equation for multistep potential structures are derived. Using the recursion relations, a dispersion equation for periodic potential structures is presented. Some numerical results for the transmission probability of a double barrier structure with scattering centers, the lifetime of the quasi-bound state in a single quantum well with an applied field, and the miniband of a periodic potential structure are presented.

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. R. Tsu, L. Esaki: Appl. Phys. Lett. 22, 562 (1973)

    Google Scholar 

  2. B. Ricco, M.Ya. Azbel: Phys. Rev. B 29, 1970 (1984)

    Google Scholar 

  3. A.K. Ghatak, I.C. Goyal, R.L. Gallawa: IEEE J. QE-26, 305 (1990)

    Google Scholar 

  4. E. Merzbacher: Quantum Mechanics, 2nd edn. Wiley, New York 1970) p. 73

    Google Scholar 

  5. H.X. Jiang, J.Y. Lin: J. Appl. Phys. 61, 624 (1987)

    Google Scholar 

  6. A.N. Khondker, K.R. Khan, A.F.M. Anwar: J. Appl. Phys. 63, 5191 (1988)

    Google Scholar 

  7. A. Haque, M. Haque, M.R. Khan: J. Appl. Phys. 68, 1661 (1990)

    Google Scholar 

  8. H. Yamamoto, Y. Kanie, M. Arakawa, K. Taniguchi: Appl. Phys. A 50, 577 (1990)

    Google Scholar 

  9. D.E. Aspnes, S.M. Kelso, R.A. Logan, R. Bhat: J. Appl. Phys. 60, 754 (1986)

    Google Scholar 

  10. D.A. Kleinman, R.C. Miller: Phys. Rev. B 32, 2267 (1985)

    Google Scholar 

  11. B.Y. Gu, C. Coluzza, M. Mangiantini, A. Frova: Superlattices and Microstructures 7, 29 (1990)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Semiconductors, Chinese Academy of Sciences, PO Box 912, 100083, Beijing, P.R. China

    Huang Yong-Zhen & Wang Chi-Ming

Authors
  1. Huang Yong-Zhen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wang Chi-Ming
    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

Yong-Zhen, H., Chi-Ming, W. Resonant tunneling, eigenvalue and energy band calculation for potential and periodic potential structures. Appl. Phys. A 54, 191–195 (1992). https://doi.org/10.1007/BF00323910

Download citation

  • Revised:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00323910

PACS

Search

Navigation