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Interacting Electron Gas in Metals

  • K. S. Singwi
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 17)

Abstract

In these lectures I propose to discuss the behavior of an interacting electron gas in the “Jellium” model of a metal. Results, which we shall obtain on the basis of this model, are indeed applicable to simple metals. In this connection, I would derive an expression for the wave number and frequency dependent dielectric function of the electron gas, the latter, as you perhaps know, playss an important role in all transport phenomena in metals and in the calculation of other interesting physicalp properties. In deriving th is expression, I shall use the equation of motion method rather than the more fashionable diagrammatic technique. Using the latter technique, although very powerful and suggestive, not muchP rogress has been made since the important work of Hubbard [ 1]. I shall closely follow the approach as developed by Singwi et al [2]. We shall also attempt to establish the connection between our work and that of Hohenberg, Kohn and Sham [3, 4]. As occasion arises, I shall point out some of the unsolved problems.

Keywords

Dielectric Function Pair Correlation Function Versus Theory Simple Metal Annihilation Rate 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    J. Hubbard, Proc. Roy. Soc. (London) A243, 336 (1957)MathSciNetADSGoogle Scholar
  2. 2.
    K.S. Singwi, M.P. Tosi, R.H. Land and A. Sjölander, Phys. Rev. 176, 589 (1968)ADSCrossRefGoogle Scholar
  3. 3.
    P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964)MathSciNetADSCrossRefGoogle Scholar
  4. 4.
    W. Kohn and L. Sham, Phys. Rev. 140, A1133 (1965)MathSciNetADSCrossRefGoogle Scholar
  5. 5.
    P. Vashishta and K.S. Singwi, Phys. Rev. B6, 875 (1972)ADSGoogle Scholar
  6. 6.
    G. Niklasson, A. Sjölander and K.S.Singwi, Phys. Rev.B11, 113 (1975)ADSCrossRefGoogle Scholar
  7. 7.
    J.S. Vaishya and A.K. Gupta, Phys. Rev. B7, 4300 (1973)ADSCrossRefGoogle Scholar
  8. 8.
    G. Niklasson, Phys. Rev. B10, 3052 (1974)ADSCrossRefGoogle Scholar
  9. 9.
    L. Sham, in Computational Methods in Band Theory, edited by P.M. Marcus, J.F. Janak and A.R. Williams (Plenum, New York, 1971) p. 458CrossRefGoogle Scholar
  10. 10.
    D.J.W. Geldart, M. Rasolt and C.O. Almbladh, Solid State Communication 16, 243 (1975)ADSCrossRefGoogle Scholar
  11. 11.
    A.K. Gupta, Private communication. 12. S. Ichimaru, Phys. Rev. A2, 494 (1970)CrossRefGoogle Scholar
  12. 13.
    S. Ma and K.A. Brueckner, Phys. Rev. 165, 18 (1968)ADSCrossRefGoogle Scholar
  13. 14.
    H. Yasuhara, J. Phys. Soc., Jpn 36, 361 (1974)ADSCrossRefGoogle Scholar
  14. 15.
    G. Brown and D. Lowy, Phys. Rev. (to be published)Google Scholar
  15. 16.
    P.M. Platzman and P. Eisenberger, Phys. Rev. Lett. 33, 152 (1974)ADSCrossRefGoogle Scholar
  16. 16a.
    P.M. Platzman and P. Eisenberger, previous references cited therein. See also P. Zacharias, J. Phys. C7, 126 (1974)Google Scholar
  17. 17.
    R.K. Kalia and G. Mukhopadhyaya, Solid State Communication, 15 , 1243 (1974)ADSCrossRefGoogle Scholar
  18. 18.
    G. Mukhopadhyay, R.K. Kalia and K.S. Singwi, Phys. Rev. Lett. 34, 950 (1975)ADSCrossRefGoogle Scholar
  19. 19.
    A. Sjölander and M.J. Stott, Phys. Rev. B5, 2109(1972)ADSCrossRefGoogle Scholar
  20. 20.
    P. Bhattacharyya and K.S. Singwi, Phys. Rev. Lett. 29, 22 (1972)ADSCrossRefGoogle Scholar
  21. 21.
    Z.D. Popovic and M.J. Stott, Phys. Rev. Lett. 33, 1164 (1974)ADSCrossRefGoogle Scholar
  22. 22.
    C.0 Almbladh and U. Von Barth (to be published).Google Scholar
  23. 23.
    P. Vashishta, P. Bhattacharyya and K.S. Singwi, Nuovo Cimento 23B, 172 (1974)CrossRefGoogle Scholar
  24. 23a.
    P. Vashishta, P. Bhattacharyya and K.S. Singwi, See also Phys. Rev. Lett. 30, 1248 (1973)ADSCrossRefGoogle Scholar
  25. 23b.
    P. Vashishta, P. Bhattacharyya and K.S. Singwi, Phys. Rev. B10, 5108 (1974)ADSCrossRefGoogle Scholar
  26. 23c.
    P. Vashishta, P. Bhattacharyya and K.S. Singwi, Phys. Rev. Lett. 33, 911 (1974).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1976

Authors and Affiliations

  • K. S. Singwi
    • 1
  1. 1.Physics DepartmentNorthwestern UniversityEvanstonUSA

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