Skip to main content
SpringerLink
Log in

Hot electron relaxation in one-dimensional models: exact polaron dynamics versus relaxation in the presence of a Fermi sea

  • Original Contributions
  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

We present the exact solution for the time evolution of the electron and phonon momentum distribution for a one-dimensional polaron model with alinear electronic energy dispersion. The electron momentum distribution is shown to obey aMarkovian quantum kinetic equation. Numerical results for the polaron model are compared to the corresponding exact results, when the negative momentum states are filled in the initial state. The presence of this Fermi sea modifies the dynamics except in the short time regime. The different, long time dynamics might show up in comparison of hot electron relaxation of undoped and doped semiconductors.

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. Meden, V., Wöhler, C., Fricke, J., Schönhammer, K.: Phys. Rev. B52 (1995)

  2. Tomonaga, S.: Prog. Theor. Phys.5, 544 (1950); Luttinger, J.M.: J. Math. Phys.4, 1154 (1963)

    Article  Google Scholar 

  3. Mattis, D.C., Lieb, E.H.: J. Math. Phys.6, 304 (1965)

    Article  CAS  Google Scholar 

  4. Haldane, F.D.M.: J. Phys. C14, 2585 (1981)

    Article  Google Scholar 

  5. Mahan, G.D.: Many-Particle Physics. New York: Plenum Press 1981

    Google Scholar 

  6. Meden, V., Schönhammer, K., Gunnarsson, O.: Phys. Rev. B50, 11179 (1994)

    Article  CAS  Google Scholar 

  7. Mermin, N.D.: J. Math. Phys.7, 1038 (1966)

    Article  Google Scholar 

  8. Schönhammer, K., Meden, V.: Phys. Rev. B47, 16205 (1993); Phys. Rev. B48, 11521 (1993)

    Article  Google Scholar 

  9. Schilp, J., Kuhn, T., Mahler, G.: Phys. Rev. B50, 5435 (1994)

    Article  CAS  Google Scholar 

  10. Zimmermann, R.: Phys. Status Solidi159 317 (1990)

    Article  CAS  Google Scholar 

  11. Lipavský, P., Špička, V., Velický, B.: Phys. Rev. B34, 6933 (1986)

    Article  Google Scholar 

  12. Haug, H., Phys. Stat. Sol.173, 139 (1992); Bányai, L., Tran Thoai, D.B., Remling, C., Haug, H.: Phys. Status Solidi173, 149 (1992)

    Article  CAS  Google Scholar 

  13. Schoeller, H.: Ann. Phys. (NY)229, 273 (1994)

    Article  CAS  Google Scholar 

  14. Zimmermann, R., Wauer, J.: J. Lum.58, 271 (1994)

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik der Universität Göttingen, Bunsenstrasse 9, D-37073, Göttingen, Germany

    V. Meden, J. Fricke, C. Wöhler & K. Schönhammer

Authors
  1. V. Meden
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Fricke
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. C. Wöhler
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. K. Schönhammer
    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

Meden, V., Fricke, J., Wöhler, C. et al. Hot electron relaxation in one-dimensional models: exact polaron dynamics versus relaxation in the presence of a Fermi sea. Z. Phys. B - Condensed Matter 99, 357–365 (1995). https://doi.org/10.1007/BF02769954

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02769954

PACS

Search

Navigation