Skip to main content
Log in

RPA-dynamics of the electronic density matrix in a two-band semiconductor

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

Optoelectronic processes in semiconductors are characterized by a strong coherent coupling between interband and intraband processes at the band edge. An appropriate theoretical framework for studying such processes is provided by the density matrix approach. On the two-point level, which is identical to single-particle quantum kinetic theory, all relevant information is provided by two intraband submatrices and one interband transition amplitude. Equations of motion for these quantities are derived by applying the random phase approximation and thus truncating the kinetic hierarchy. The structure of the resulting equations is discussed.

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. Feynman, R.P., Vernon, F.L., Hellwarth, R.W.: J. Appl. Phys.28, 49 (1957)

    Google Scholar 

  2. Berman, P.R.: J. Opt. Soc. Am. B3, 564 (1985)

    Google Scholar 

  3. Hönerlage, B., Bigot, J.Y.: Phys. Status Solidi b123, 201 (1984)

    Google Scholar 

  4. Bigot, J.Y., Hönerlage, B.: Phys. Status Solidi b121, 649 (1984)

    Google Scholar 

  5. Wherrett, B.S., Smirl, A.L., Boggess, T.F.: IEEE J. Quant. Electr.4, 680 (1983)

    Google Scholar 

  6. Kocevar, P.: Hot phonons. In: Advances of Solid State Physics. P. Grosse (ed.), Vol.27, pp. 197–222. Braunschweig, Wiesbaden: Vieweg 1987

    Google Scholar 

  7. Huhn, W., Stahl, A.: Phys. Status Solidi b124, 167 (1984)

    Google Scholar 

  8. Stahl, A., Balslev, I.: Electrodynamics of the semiconductor band edge. Springer Tracts in Modern Physics, Vol. 110. Berlin, Heidelberg, New York: Springer 1987

    Google Scholar 

  9. — 1.c. Sect. 3.6

    Google Scholar 

  10. — 1.c. Sect. 6.1

    Google Scholar 

  11. Klingshirn, C., Haug, H.: Phys. Rep.70, 315 (1981)

    Google Scholar 

  12. Haug, H., Schmitt-Rink, S.: Progr. Quant. Electr.9, 3 (1984)

    Google Scholar 

  13. Schäfer, W., Treusch, J.: Z. Phys. B — Condensed Matter63, 407 (1986)

    Google Scholar 

  14. Müller, J.F., Mewis, R., Haug, H.: Z. Phys. B—Condensed Matter69, 231 (1987)

    Google Scholar 

  15. Zimmermann, R.: Phys. Status Solidi b135, 681 (1986)

    Google Scholar 

  16. Czajkowski, G., Balslev, I.: Phys. Status Solidi b130, 655 (1985)

    Google Scholar 

  17. Haken, H.: Theory of excitons. In: Polarons and excitons, C. Kuper, G. Whitfield (eds.). Edinburg: Oliver and Boyd 1963

    Google Scholar 

  18. Egri, I.: Phys. Rep.119, 363, (1985)

    Google Scholar 

  19. Oudar, J.L., Hulin, D., Migus, A., Antonetti, A.: Phys Rev. Lett.55, 2074 (1985)

    Google Scholar 

  20. Boggess, T.F., Smirl, A.L., Wherret, B.S.: Opt. Commun.43, 128 (1982)

    Google Scholar 

  21. Mysyrowicz, A. et al.: Phys. Rev. Lett.56, 2748 (1986)

    Google Scholar 

  22. Haug, H., Schmitt-Rink, S.: J. Opt. Soc. Am. B2, 1135 (1985)

    Google Scholar 

  23. Balslev, I., Stahl, A.: Opt. Commun.65, 137 (1988)

    Google Scholar 

  24. Balslev, I., Comm. Mod. Phys. B (Cond. Mat. Phys.)13, 21 (1987)

    Google Scholar 

  25. Gotthard, L., Stahl, A., Czajkowski, G.: J. Phys. C17, 4865 (1984)

    Google Scholar 

  26. Stahl, A., Frank, D.: Phys. Status Solidi b140, 301 (1987)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Stahl, A. RPA-dynamics of the electronic density matrix in a two-band semiconductor. Z. Physik B - Condensed Matter 72, 371–377 (1988). https://doi.org/10.1007/BF01312824

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01312824

Keywords

Navigation