Skip to main content
Log in

Theoretical study of resonant tunneling in rectangular double-, triple-, quadruple-, and quintuple-barrier structures

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

Abstract

The transmission coefficient and the resonance condition in the one-dimensional rectangular double-, triple-, quadruple-, and quintuple-barrier structures are derived theoretically under the assumption of the constant tunneling effective mass. It is found that the resonance energies are different from the eigenvalues in the quantum well due to coupling between wells in the multiple-barrier (much more than triple-barrier) structures. It is confirmed that the transmission spectrum is a Lorentzian near to energies of resonance.

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. E.O. Kane: Tunneling Phenomena in Solids (Plenum, New York 1969) p. 1

    Google Scholar 

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

    Google Scholar 

  3. T.C.L.G. Sollner, W.D. Goodhue, P.E. Tannenwald, C.D. Parker, D.D. Peck: Appl. Phys. Lett. 43, 588 (1983)

    Google Scholar 

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

    Google Scholar 

  5. L.L. Chang, K. Ploog (eds.): Molecular Beam Epitaxy and Heterostructures (Nijhoff, Dordrecht 1985)

    Google Scholar 

  6. D.S. Chemla, A. Pinczuk (eds.): Special Issue on Semi-conductor Quantum Wells and Superlattices: Physics and Applications, IEEE J. QE-22, 1609 (1986)

  7. H. Yamamoto: Electron. Lett. 23, 161 (1987)

    Google Scholar 

  8. H. Yamamoto: Appl. Phys. A 42, 245 (1987)

    Google Scholar 

  9. H. Yamamoto: Phys. Status Solidi B 140, K23 (1987)

  10. P.J. Price: Superlattices Microstruct. 2, 593 (1986)

    Google Scholar 

  11. P.J. Price: Phys. Rev. B 38, 1994 (1988)

    Google Scholar 

  12. G. Kim, G.B. Arnold: Phys. Rev. B 38, 3252 (1988)

    Google Scholar 

  13. M.C. Payne: J. Phys. C 18, L879 (1985)

  14. K.F. Brennan, C.J. Summers: J. Appl. Phys. 61, 614 (1987)

    Google Scholar 

  15. M. Tsuchiya, H. Sakaki, J. Yoshino: Jpn. J. Appl. Phys. 24, L466 (1985)

  16. N. Yokoyama, K. Imamura, S. Muto, N. Nishi: Jpn. J. Appl. Phys. 24, L853 (1985)

  17. F. Capasso, R.A. Kiehl: J. Appl. Phys. 58, 1366 (1985)

    Google Scholar 

  18. M.A. Reed, W.A. Frensley, R.J. Matyi, J.N. Randall, A.C. Seabaugh: Appl. Phys. Lett. 54, 1034 (1989)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yamamoto, H., Kanie, Y., Arakawa, M. et al. Theoretical study of resonant tunneling in rectangular double-, triple-, quadruple-, and quintuple-barrier structures. Appl. Phys. A 50, 577–581 (1990). https://doi.org/10.1007/BF00323450

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00323450

PACS

Navigation