Skip to main content
SpringerLink
Log in

The electronic structure of non-dilute alloys

  • Alloys
  • Published:
Physics of condensed matter

Abstract

Recent developments in the multiple scattering theory of disordered substitutional alloys are reviewed. In view of experimental advances in alloy spectroscopy, the approaches involving the most realistic single particle Hamiltonians are emphasized. Specifically, we focus on the application of the average t-matrix approximation to the muffin tin model of the alloy. It is shown that the electronic structures of α phase CuZn and paramagnetic CuNi alloys can be characterized in terms of their respective complex energy bands. The interpretations of several experiments, bearing on the real as well as the imaginary parts of the complex bands, are discussed.

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. Ziman, J.: Solid State Physics, Vol.26 edited by Ehrenreich, H., Seitz, F., Turnbull, D.. New York: Academic Press 1971

    Google Scholar 

  2. Lax, M.: Rev. mod. Phys.23, 287 (1951); Phys. Rev.85, 621 (1952)

    Google Scholar 

  3. Soven, P.: Phys. Rev.156, 809 (1967);178, 1136 (1969)

    Google Scholar 

  4. Velický, B., Kirkpatrick, S., Ehrenreich, H.: Phys. Rev.175, 747 (1968)

    Google Scholar 

  5. Schwartz, L., Brouers, F., Vedyayev, A. V., Ehrenreich, H.: Phys. Rev. B4, 3383 (1971)

    Google Scholar 

  6. Kirkpatrick, S., Velický, B., Ehrenreich, H.: Phys. Rev. B1, 3250 (1970)

    Google Scholar 

  7. Stocks, G. M., Williams, R. W., Faulkner, J. S.: Phys. Rev. B4, 4390 (1971)

    Google Scholar 

  8. J. Phys. F3, 1688 (1973)

  9. Levin, K., Ehrenreich, H.: Phys. Rev. B3, 4172 (1971)

    Google Scholar 

  10. Gelatt, C. D., Jr., Ehrenreich, H.: Phys. Rev. B9 (1974)

  11. Williams, D. L., Becker, E. H., Petijevich, P.: Bull. Amer. Phys. Soc.14, 402 (1969)

    Google Scholar 

  12. Trifshauser, W., Stewart, A. T.: J. Phys. Chem. Solids32, 2717 (1971)

    Google Scholar 

  13. Morinaga, H.: J. Phys. Soc. Jap.33, 996 (1972)

    Google Scholar 

  14. Becker, E. H., Petijevich, P., Williams, D. L.: J. Phys. F1, 806 (1971)

    Google Scholar 

  15. Berko, S., Mader, J.: (to be published), preliminary results are shown in Fig. 4

  16. Chollet, L. F., Templeton, I. M.: Phys. Rev.170, 656 (1968)

    Google Scholar 

  17. Coleridge, P. T., Templeton, I. M.: Canad. J. Phys.49, 2449 (1971)

    Google Scholar 

  18. Pells, G. P., Montgomery, H.: J. Phys. C3, S330 (1970)

    Google Scholar 

  19. Hüfner, S., Wertheim, G. K., Wernick, J. H.: Phys. Rev. B8, 4511 (1973), and further references cited therein

    Google Scholar 

  20. Soven, P.: Phys. Rev. B2, 4715 (1970)

    Google Scholar 

  21. Gyorffy, B. L., Stocks, G. M.: In Proceedings of the Strasbourg Conference on Disordered Metallic Systems, Strasbourg, France (1973) [J. Phys. (Paris), Colloq., to be published]

  22. Schwartz, L., Bansil, A.: Phys. Rev. B10, 3261 (1974)

    Google Scholar 

  23. Bansil, A., Ehrenreich, H., Schwartz, L., Watson, R. E.: Phys. Rev. B9, 445 (1974). This paper also includes a detailed list of relevant references

    Google Scholar 

  24. Bansil, A., Ehrenreich, H.: Bull. Amer. Phys. Soc.19, 317 (1974), also Bansil, A.: PhD thesis (Harvard University, 1974) (unpublished)

    Google Scholar 

  25. Hodges, L., Watson, R. E., Ehrenreich, H.: Phys. Rev. B5, 3953 (1972)

    Google Scholar 

  26. In contrast to the CuZn system, the charge transfer effects for the CuNi calculations reported in this paper are assumed to be negligible. This assumption is consistent with the photoemission and Mössbauer studies on CuNi alloys

  27. Details of the complex energy bands and density of states for CuNi alloys will be reported in a forthcoming paper

  28. The article by Berko, S., Mader, J., in this volume discusses in detail the possibility of using positron annihilation and Compton scattering experiments for measuring the Fermi surface damping in high concentration alloys

  29. The anisotropy of the Fermi surface damping in CuZn alloys differs markedly for the CR and SMT models. (See Ref. 14 for details.) Experimental measurements of the Dingle temperatures on different orbits on the Fermi surface would be helpful in providing detailed maps of the Fermi surface damping, thereby helping to resolve the question of which of the two models for charge transfer is more realistic

  30. Huysman, L., Weiss, J.: Solid State Commun.16, 983 (1975)

    Google Scholar 

  31. Lengeler, B., Wampler, W. R.: 13th International Low Temperature Physics Conference, Boulder, Colorado (1972)

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Brandeis University, 02154, Waltham, Massachusetts, USA

    A. Bansil & L. Schwartz

  2. Division of Engineering and Applied Physics, Harvard University, 02154, Cambridge, Massachusetts, USA

    H. Ehrenreich

Authors
  1. A. Bansil
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. Schwartz
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. Ehrenreich
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported in part by Grant No. GH 35691 of the National Science Foundation.

Supported in part by Grant Nos. GH 33576 and GH 32774 of the National Science Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bansil, A., Schwartz, L. & Ehrenreich, H. The electronic structure of non-dilute alloys. Phys cond Matter 19, 391–403 (1975). https://doi.org/10.1007/BF01458890

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01458890

Keywords

Search

Navigation