Skip to main content
SpringerLink
Log in

Validity of the transfer-matrix method for a two-dimensional electron waveguide

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

Abstract

We solve the singularity problem of the transfer matrix method for a two-dimensional electron wave guide consisting of a sequence of cells. The method is reformulated in terms of intrinsic Bloch waves of a device cell. The resulting method is proved to be both stable and accurate. The transfer matrix is formulated without divergence problems in the open-mode approximation. The formula relating the N-cell transmission probability with that of one cell in the single-mode approximation takes exactly the same form as in the one-dimensional case.

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. F. Capasso: Phys. Today 43(2), 22 (1990)

    Google Scholar 

  2. M.A. Kastner: Phys. Today 46(1), 24 (1993)

    Google Scholar 

  3. K. Harmans: Phys. World 5(3), 50 (1992)

    Google Scholar 

  4. C. Morgan, G.S. Chen, C. Boothroyd, S. Bailey, C. Humphreys: Phys. World 5(11), 28 (1992)

    Google Scholar 

  5. C.W. Beenakker, H. Van Houten: Solid State Phys. 44, 1 (1991), and references therein

    Google Scholar 

  6. G. Bastard, J.A. Brum, R. Ferreira: Solid State Phys. 44, 229 (1991), and references therein

    Google Scholar 

  7. J.A. Brum: Phys. Rev. B 43, 12082 (1991)

    Google Scholar 

  8. A. Weisshaar, J. Lary, S.M. Goodnick, V.K. Tripathi: J. Appl. Phys. 70, 355 (1991)

    Google Scholar 

  9. J. Martorell, S. Klarsfeld, D.W.L. Sprung, H. Wu: Solid State Commun. 78, 13 (1991)

    Google Scholar 

  10. H. Wu, D.W.L. Sprung, J. Martorell, S. Klarsfeld: Phys. Rev. B 44, 6351 (1991)

    Google Scholar 

  11. D.W.L. Sprung, Hua Wu, J. Martorell: J. Appl. Phys. 71, 515 (1992)

    Google Scholar 

  12. Hua Wu, D.W.L. Sprung, J. Martorell: Phys. Rev. B 45, 11960 (1992)

    Google Scholar 

  13. Hua Wu, D.W.L. Sprung, J. Martorell: J. Appl. Phys. 72, 151 (1992)

    Google Scholar 

  14. Hua Wu, D.W.L. Sprung: Phys. Rev. B. 47, 1500 (1993)

    Google Scholar 

  15. Hua Wu, D.W.L. Sprung, J. Martorell: Appl. Phys. A 56, 127 (1993)

    Google Scholar 

  16. Hua Wu, D.W.L. Sprung, J. Martorell: J. Phys. D 26, 798 (1993)

    Google Scholar 

  17. F. Sols, M. Macucci, U. Ravaioli, K. Hess: J. Appl. Phys. 54, 350 (1989)

    Google Scholar 

  18. D.W.L. Sprung, Hua Wu, J. Martorell: Am. J. Phys. 61, 1118 (1993)

    Google Scholar 

  19. D.J. Vezzetti, M. Cahay: J. Phys. D 19, L53 (1986)

  20. S. Datta: Superlat. Microstruct. 6, 83 (1989)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, McMaster University, L8S 4M1, Hamilton, Ontario, Canada

    H. Wu & D. W. L. Sprung

Authors
  1. H. Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. W. L. Sprung
    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

Wu, H., Sprung, D.W.L. Validity of the transfer-matrix method for a two-dimensional electron waveguide. Appl. Phys. A 58, 581–587 (1994). https://doi.org/10.1007/BF00348169

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00348169

PACS

Search

Navigation