Skip to main content
SpringerLink
Log in

Model calculations of anisotropic electron lifetimes due to dilute substitutional impurities in molybdenum

  • Impurity Scattering
  • Published:
Physics of condensed matter

Abstract

The de Haas-van Alphen technique forms a sensitive probe of the electronic structure of dilute alloys because of its dependence on the seattering rate in the forward direction. We report the results of a first principle model calculation of the scattering rate of dilute impurities in molybdenum which focuses on the anisotropy of the host wave function on the Fermi surface. This simplified model treats the impurity potential as an atomic potential screened by a Thomas-Fermi function. Substitutional impurities in bcc molybdenum have been studied using the Greens function (KKR) wave functions. The band structure calculated via the KKR method was fitted to a Fourier series representation in order to accurately determine a sufficiently large number of states on the Fermi surface.

The KKR wavefunctions were used to calculate scattering rates for the substitutional impurity since the impurity potential can be best described in an angular momentum representation which is inherent to the Greens function method. Our detailed results, to be presented, suggest additional experiment to be done.

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. Gold, A. V.: Solid State Physics, Vol. 1, edited by Cochran, J. F., Haering, R. R., p. 39. New York: Gordon and Breach 1968

    Google Scholar 

  2. Shoenberg, D.: Phys. kondens. Materie9, 1 (1969)

    Google Scholar 

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

    Google Scholar 

  4. Callaway, J.: Phys. Rev.156, 860 (1966)

    Google Scholar 

  5. Korringa, J.: Physica13, 392 (1947)

    Google Scholar 

  6. Korn, W., Rostoker, N.: Phys. Rev.94, 111 (1954)

    Google Scholar 

  7. Mattheiss, L. F.: Phys. Rev.133 A, 1399 (1964)

    Google Scholar 

  8. Slater, J. C.: Phys. Rev.81, 385 (1951)

    Google Scholar 

  9. International Tables for X-Ray Crystallography, Vol. III. Birmingham, England: Kynoch Press 1962

  10. Ham, F. S., Segall, B.: Phys. Rev.124, 1786 (1961)

    Google Scholar 

  11. Koelling, D. D., Mueller, F. M.: Phys. Rev. (in press)

  12. Morse, P. M.: Proc. Natl. Acad. Sci. U.S.42, 276 (1956)

    Google Scholar 

  13. Fermi, E.: Notes on Quantum Mechanies, Chicago: University of Chicago Press 1954

    Google Scholar 

  14. Arko, A. J., Mueller, F.M.: Phys. cond. Matter19, Ms. 462

Download references

Author information

Authors and Affiliations

  1. Magnetic Theory Group, Physics Department, Northwestern University, 60201, Evanston, Illinois, USA

    H. W. Myron

  2. Magnetic Theory Group, Physics Department, Northwestern University, Evanston, Illinois

    F. M. Mueller

  3. Argonne National Laboratory, Argonne, Illinois

    F. M. Mueller

Authors
  1. H. W. Myron
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. M. Mueller
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported by the National Science Foundation through the Northwestern University Materials Research Center, the Air Force Office of Scientific Research and the United States Atomic Energy Commission.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Myron, H.W., Mueller, F.M. Model calculations of anisotropic electron lifetimes due to dilute substitutional impurities in molybdenum. Phys cond Matter 19, 241–250 (1975). https://doi.org/10.1007/BF01458871

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01458871

Keywords

Search

Navigation