Skip to main content
Log in

Band structure effects on the plasmon dispersion in simple metals

  • Published:
Zeitschrift für Physik B Condensed Matter

Abstract

The real part of the effective dielectric function is derived analytically in the pseudopotential approximation. For anyk-direction, the theory allows the evaluation of the plasmon dispersion,ω p (k), which is found to be anisotropic in general due to band structure effects. Application of the theory to Al yields an isotropic shift atk=0 ofΔω p (0) v ≈ − 0.3 eV and explains the recently observed anisotropic behaviour of the dispersion very well fork < 0.6k F .

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. Petri, E., Otto, A.: Phys. Rev. Lett.34, 1283 (1975)

    Google Scholar 

  2. Urner-Wille, M.: J. Phys. D: Appl. Phys.10, 49 (1977)

    Google Scholar 

  3. Petri, E., Otto, A., Hanke, W.: Sol. Stat. Comm.19, 711 (1976)

    Google Scholar 

  4. Urner-Wille, M., Raether, H.: Phys. Lett.58A, 265 (1976)

    Google Scholar 

  5. Adler, S.L.: Phys. Rev.126, 413 (1962)

    Google Scholar 

  6. Wiser, N.: Phys. Rev.129, 62 (1963)

    Google Scholar 

  7. Platzman, P.M., Wolff, P.A.: Solid State Physics. Suppl. 13 (ed. H. Ehrenreich, F. Seitz and D. Turnbull). New York and London: Acad. Press 1973

    Google Scholar 

  8. Saslow, W.M., Reiter, G.F.: Phys. Rev. B7, 2995 (1973)

    Google Scholar 

  9. Sturm, K.: Z. Physik B25, 247 (1976)

    Google Scholar 

  10. Heine, V., Cohen, M.L.: Solid State Physics 24. (ed. H. Ehrenreich, F. Seitz and D. Turnbull). New York and London: Acad. Press (1970)

    Google Scholar 

  11. Paasch, G.: phys. stat. sol.38, K 123 (1970)

    Google Scholar 

  12. Hasegawa, M.: J. Phys. Soc. (Jap.)31, 649 (1971)

    Google Scholar 

  13. Sturm, K.: Z. Physik B28, 1 (1977)

    Google Scholar 

  14. Raether, H.: in Vacuum Ultraviolet Radiation Physics (ed. E.E. Koch, R. Haensel and C. Kunz). Braunschweig: Pergamon Vieweg 1974

    Google Scholar 

  15. Haque, M.S., Kliewer, K.L.: Phys. Rev. B7, 2416 (1973)

    Google Scholar 

  16. Gröbner, W., Hofreiter, N.: Integral Tables, Vol. 1, 2nd ed. pp. 37–38, Wien: Springer 1957

    Google Scholar 

  17. Pandey, K.C., Platzman, P.M., Eisenberger, P., Foo, E.-Ni.: Phys. Rev. B9, 5056 (1974)

    Google Scholar 

  18. Ashcroft, N.W., Langreth, D.C.: Phys. Rev.155, 682 (1967)

    Google Scholar 

  19. Gibbons, P.C., Schmatterly, S.E., Ritsko, J.J., Fields, J.R.: Phys. Rev. B13, 2451 (1976)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sturm, K. Band structure effects on the plasmon dispersion in simple metals. Z Physik B 29, 27–32 (1978). https://doi.org/10.1007/BF01354834

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01354834

Keywords

Navigation