The Free Energy and Dynamical Structure Factors of a Metallic System

  • A. B. Bhatia

Abstract

In 1950, Fröhlich [1] showed that the same Bloch electron-phonon interaction [2] which is responsible for the electrical resistivity of a metal, leads also, if strong enough, to a net attractive interaction between the electrons and is thus responsible for the phenomenon of superconductivity. This fundamental idea, as is, of course, well known, forms the basis of all subsequent work on superconductivity. It introduced a new element in the theory of normal metals also, namely, that the electron-phonon interaction affects the electron density of states of a normal metal and hence its electronic specific heat etc. [1, 3, 4]. The present Chapter is partly concerned with this effect and partly with the change in the electronic specific heat due to alloying.

Keywords

Cross Correlation 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Fröhlich, H.: Phys. Rev. 79, 845 (1950).ADSMATHCrossRefGoogle Scholar
  2. 2.
    Bloch, F.: Z. Physik 52, 555 (1928).ADSCrossRefGoogle Scholar
  3. 3.
    Buckingham, M. J.: Nature 168, 281 (1951).ADSCrossRefGoogle Scholar
  4. 4.
    Fröhlich, H.: Proc. Roy. Soc. (London), Ser. A 245, 291 (1952).ADSGoogle Scholar
  5. 5.
    Krishnan, K. S., Bhatia, A. B.: Nature 156, 503 (1945).ADSCrossRefGoogle Scholar
  6. 6.
    Bhatia, A. B., Krishnan, K. S.: Proc. Roy. Soc. (London), Ser. A 194, 185 (1948).MathSciNetADSMATHCrossRefGoogle Scholar
  7. 7.
    Gerstenkorn, H.: Ann. Physik 10, 49 (1952).MathSciNetADSMATHCrossRefGoogle Scholar
  8. 8.
    Ziman, J. M.: Phil. Mag. 6, 1013 (1961).ADSMATHCrossRefGoogle Scholar
  9. 9.
    Phillips, J. C., Kleinman, L.: Phys. Rev. 116, 287 (1959).ADSMATHCrossRefGoogle Scholar
  10. 10.
    Antonick, E.: Phys. Chem. Solids 10, 314 (1959).ADSCrossRefGoogle Scholar
  11. 11.
    Heine, v.: Adv. in Solid State Phys.: Ed. Ehrenreich, H., Seitz, F., Turnbull, D., Vol. 24, p. 1. New York: Academic Press 1971.Google Scholar
  12. 12.
    Cohen, M. H., Heine, V.: Adv. in Solid State Phys.: Ed. Ehrenreich, H., Seitz, F., Turnbull, D., Vol. 24, p. 38. New York: Academic Press 1971.Google Scholar
  13. 13.
    Harrison, W. A.: Pseudopotentials in The Theory of Metals. New York: Benjamin, Inc. 1966.Google Scholar
  14. 14.
    Gupta, O. P.: Phys. Rev. 174, 668 (1968).ADSCrossRefGoogle Scholar
  15. 15.
    Stocks, G. M., Young, W. H., Meyer, A.: Phil. Mag. 18, 895 (1968).ADSCrossRefGoogle Scholar
  16. 16.
    Schafroth, M. R.: Helv. Phys. Acta 24, 645 (1951).MATHGoogle Scholar
  17. 17.
    Buckingham, M. J., Schafroth, M. R.: Proc. Phys. Soc. (London) A 67, 828 (1954).ADSMATHCrossRefGoogle Scholar
  18. 18.
    van Hove, L.: Phys. Rev. 95, 249 (1954).ADSMATHCrossRefGoogle Scholar
  19. 19.
    Bhatia, A. B., O’Leary, W. P.: Lettere Nuovo Cimento 3, 14 (1972).Google Scholar
  20. 20.
    Bhatia, A. B., Thornton, D. E.: Phys. Rev. B 2, 3004 (1970).ADSCrossRefGoogle Scholar
  21. 21.
    Bhatia, A. B., Thornton, D. E.: Phys. Rev. B 4, 2325 (1971).ADSCrossRefGoogle Scholar
  22. 22.
    Krivoglaz, M. A.: Theory of X-ray and Thermal Neutron Scattering by Real Crystals. New York: Plenum Press 1969.Google Scholar
  23. 23.
    March, N. H., Young, W. H., Sampanthar, S.: The Many-Body Problem in Quantum Mechanics. London: Cambridge University Press 1967.Google Scholar
  24. 24.
    Sham, L. J., Ziman, J. M.: Adv. in Solid State Phys. Ed. Seitz, F., Turnbull, D., Vol. 25. New York: Academic Press 1963.Google Scholar
  25. 25.
    Ashcroft, N. W., Wilkins, J. W.: Phys. Letters 14, 285 (1965).ADSCrossRefGoogle Scholar
  26. 26.
    Rice, M. J.: Phys. Rev. B 2, 4800 (1970).ADSCrossRefGoogle Scholar
  27. 27.
    Greene, M. D., Kohn, W.: Phys. Rev. 137, 513 (1965).ADSCrossRefGoogle Scholar
  28. 28.
    Mott, N. F., Jones, H.: The Theory of the Properties of Metals and Alloys, p. 177. London: Oxford University Press 1936.Google Scholar
  29. 29.
    Mott, N. F., Davis, E. A.: Electronic Processes in Non-Crystalline Materials. London: Oxford University Press 1971.Google Scholar
  30. 30.
    Stern, E. A.: Phys. Rev. 144, 545 (1966).ADSCrossRefGoogle Scholar
  31. 31.
    Maradudin, A. A., Montroll, E. W., Weiss, G. H., Ipatova, I. P.: Theory of Lattice Dynamics in the Harmonic Approximation, Second Ed. New York: Academic Press 1971.Google Scholar
  32. 32.
    Kagan, Y., Zhernov, A. P.: Zh. Eksperim. i Teor. Fiz. 50, 1107 (1966) [English transi: Soviet Phys. JETP 23, 737 (1966)].Google Scholar
  33. 33.
    Davis, T. H., Rayne, J. A.: Phys. Letters 36 A, 40 (1971).ADSCrossRefGoogle Scholar
  34. 34.
    Bhatia, A. B., O’Leary, W. P.: (to be published).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1973

Authors and Affiliations

  • A. B. Bhatia
    • 1
  1. 1.Dept. of PhysicsUniversity of AlbertaEdmontonCanada

Personalised recommendations