Skip to main content
SpringerLink
Log in

Impurity scattering on the Fermi surface of aluminum

  • Impurity Scattering
  • Published:
Physics of condensed matter

Abstract

A calculation is described for the anisotropic relaxation time due to impurity scattering on the Fermi surface of aluminum. The Bloch states and the Fermi surface are obtained from Ashcroft's 4-OPW model, while the scattering potentials are obtained from locally re-screened form factors. Numerical results reveal that strong anisotropicsin the electronic lifetime arise for s-like impurities such as Si and Ge. A phase shift model is introduced to explain these anisotropies. The predicted anisotropies appear to be in reasonable agreement with experimental values for the Dingle temperature. The relaxation time for d.c. conductivity is obtained from iterative solution of the Boltzmann equation.

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. Pippard, A.B.: Proc. Roy. Soc.A305, 291 (1968)

    Google Scholar 

  2. Chambers, R. G.: Solid State Physics, Vol. I: Electrons in Metals, ed. J. F. Cochran and R. R. Haering. London: Gordon and Breach 1968

    Google Scholar 

  3. Springford, M.: Advances in Phys.20, 493 (1971)

    Google Scholar 

  4. Blatt, F. J.: Physics of Electronic Conduction in Solids, Chapter 5. New York: McGraw Hill 1968

    Google Scholar 

  5. Sorbello, R. S.: J. Phys. F: Metal Phys.4, 503 (1974)

    Google Scholar 

  6. Sorbello, R. S.: Bull. Amer. Phys. Soc.19, 363 (1974)

    Google Scholar 

  7. Harrison, W. A.: Pseudopotentials in the Theory of Metals. New York: Benjamin 1966

    Google Scholar 

  8. Fukai, Y.: Phys. Rev.186, 697 (1969)

    Google Scholar 

  9. Animalu, A. O. E., Heine, V.: Phil. Mag.12, 1249 (1965). (See also Ref. 7, p. 309)

    Google Scholar 

  10. Moriarty, J. A.: Phys. Rev. B1, 1363 (1970)

    Google Scholar 

  11. Ashcroft, N. W.: Phil. Mag.8, 2055 (1963)

    Google Scholar 

  12. Coleridge, P. T.: Phys. Rev. B7,3508 (1973)

    Google Scholar 

  13. Cohen, M. L., Heine, V.: Solid State Physics24, 37 (1970)

    Google Scholar 

  14. Pytte, E.: J. Phys. Chem. Solids28, 93 (1967)

    Google Scholar 

  15. Shepherd, J. P. G., Gordon, W. L.: Phys. Rev.169, 541 (1968)

    Google Scholar 

  16. Ziman, J. M.: Proc. Roy. Soc.A 252, 63 (1959)

    Google Scholar 

  17. Sorbello, R. S.: J. Phys. F.: Metal Physics4, 1665 (1974)

    Google Scholar 

  18. Harrison, W. A.: Solid State Theory, p. 186, New York: McGraw Hill 1970

    Google Scholar 

  19. Brown, H. R., Morgan, G. J.: J. Phys. F.: Metal Phys.1, 132 (1971)

    Google Scholar 

  20. Sorbello, R. S.: Solid State commun.12, 287 (1973)

    Google Scholar 

  21. Ziman, J. M.: Adv. Phys.10, 1 (1961)

    Google Scholar 

Download references

Author information

Author notes

  1. R. S. Sorbello

    Present address: Department of Physics, University of Wisconsin-Milwaukee, 53201, Milwaukee, Wisconsin, USA

Authors and Affiliations

  1. Laboratorium für Festkörperphysik, Eidgenössische Technische Hochschule, Zürich, Switzerland

    R. S. Sorbello

Authors
  1. R. S. Sorbello
    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

Sorbello, R.S. Impurity scattering on the Fermi surface of aluminum. Phys cond Matter 19, 251–257 (1975). https://doi.org/10.1007/BF01458872

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01458872

Keywords

Search

Navigation