Advertisement

Microscopic Theory of Phonons in Solids

  • Robert M. Pick
Conference paper
Part of the The IBM Research Symposia Series book series (IRSS)

Abstract

This paper is a short review of the microscopic theory of phonons, its achievements and its present difficulties.

Keywords

Dispersion Curve Susceptibility Function Phonon Spectrum Random Phase Approximation Harmonic Approximation 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    G. Baym, Ann. Phys. 14, 1 (1961).MathSciNetADSMATHCrossRefGoogle Scholar
  2. 2.
    P. N. Keating, Phys. Rev. 175, 1171 (1968).ADSCrossRefGoogle Scholar
  3. 3.
    L. J. Sham, Phys. Rev. 188, 1431 (1969).ADSCrossRefGoogle Scholar
  4. 4.
    R. M. Pick, M. H. Cohen and R. M. Martin, Phys. Rev. B1, 910 (1970).ADSCrossRefGoogle Scholar
  5. 5.
    E. G. Brovman and Y. Kagan, Soviet Physics JETP 30, 721 (1970).ADSGoogle Scholar
  6. 6.
    G. Meissner, to be published.Google Scholar
  7. 7.
    L. J. Sham, Proc. Roy. Soc. A283, 33 (1965).ADSCrossRefGoogle Scholar
  8. 8.
    V. Ambegaokar and W. Kohn, Phys. Rev. 117, 423 (1960).MathSciNetADSMATHCrossRefGoogle Scholar
  9. 9.
    P. C. Martin and J. Schwinger, Phys. Rev. 115, 1392 (1950).MathSciNetGoogle Scholar
  10. 10a.
    W. A. Harrison, Pseudo-Potentials in the Theory of Metals. (Benjamin, New York, 1966 ).Google Scholar
  11. 10b.
    R. Pick and G. Sarma, Phys. Rev. 135, A1363 (1964).ADSCrossRefGoogle Scholar
  12. 11.
    S. K. Sinha, Phys. Rev. 169, 477 (1968).ADSCrossRefGoogle Scholar
  13. 12.
    W. M. Hartmann and T. O. Milbrodt, Phys. Rev. B3, 4133 (1971).ADSCrossRefGoogle Scholar
  14. 13.
    M. H. Cohen and V. Heine, Phys. Rev. 122, 1821 (1961).ADSCrossRefGoogle Scholar
  15. 14.
    D. L. Price, K. S. Singwi and M. P. Tosi, Phys. Rev. B2, 2983 (1970).ADSCrossRefGoogle Scholar
  16. 15.
    E. R. Floyd and L. Kleinman, Phys. Rev. B2, 3947 (1970).ADSCrossRefGoogle Scholar
  17. 16.
    J. Hubbard, Proc. Roy. Soc. A243, 336 (1957).MathSciNetADSGoogle Scholar
  18. 17.
    M. A. Coulthard, J. Phys. C. Sol. St. Phys. C3, 821 (1970).Google Scholar
  19. 18.
    W. Harrison, Phys. Rev. 136, A1107 (1964); and R. Pick, Journal de Physique, 28, 539 (1967).Google Scholar
  20. 19.
    R. W. Shaw, Jr., J. Phys. C. Sol. St. Phys. C2, 2350 (1969).ADSCrossRefGoogle Scholar
  21. 20.
    R. W. Shaw, Jr. and R. Pynn, J. Phys. C. Sol. St. Phys. C2, 2071 (1969).ADSCrossRefGoogle Scholar
  22. 21.
    T. Schneider, this volume.Google Scholar
  23. 22.
    J. C. Phillips, Phys. Rev. 166, 832 (1968).ADSCrossRefGoogle Scholar
  24. 23.
    R. M. Martin, Phys. Rev. 186, 871 (1969).ADSCrossRefGoogle Scholar
  25. 24.
    S. K. Sinha, R. P. Gupta and D. L. Price, Phys. Rev. Letters (1971).Google Scholar
  26. 25.
    J. C. Slater, Phys. Rev. 81, 385 (1951).ADSMATHCrossRefGoogle Scholar
  27. 26.
    P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964); and W. Kohn and L. J. Sham, Phys. Rev. 140, A1138 (1965).Google Scholar
  28. 27.
    W. Kohn, Phys. Rev. Letters 2, 393 (1959); and W. Kohn and S. J. Nettel, Phys. Rev. Letters 5, 8 (1960).Google Scholar
  29. 28.
    S. Barisic, Ph. D. thesis, University of Paris XI (unpublished) and Phys. Rev. (to be published).Google Scholar
  30. 29.
    B. Gliss and H. Bilz, Phys. Rev. Letters 21, 884 (1968).ADSCrossRefGoogle Scholar
  31. 30.
    S. K. Sinha, Phys. Rev. 177, 1256 (1969).ADSCrossRefGoogle Scholar
  32. 31.
    R. M. Pick, International Conference on Phonons. Rennes, France (ed. by M. Nusimovici) 1971 (to be published).Google Scholar
  33. 32.
    U. Schroeder, Sol. St. Comm. 4, 347 (1966). V. Nusslein,and U. Schroeder, Phys. Stat. Solid. 21, 309 (1967)Google Scholar
  34. 33.
    H. Bilz, this volume.Google Scholar

Copyright information

© Plenum Press, New York 1972

Authors and Affiliations

  • Robert M. Pick
    • 1
    • 2
  1. 1.DPh-G/PSRM - C.E.N. Saclay - 91Gif-sur-YvetteFrance
  2. 2.Departement de Recherches PhysiqueUniversité ParisParisFrance

Personalised recommendations