Skip to main content

Correlation Energy in Solids

  • Conference paper
Book cover Quantum Theory of Polymers

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 39))

  • 92 Accesses

Abstract

The problem of the correlation energy in solids is discussed via three principal approaches:

  1. (i)

    Density functional theory. Here the main basis is the many-body study of interacting electrons in jellium.

  2. (ii)

    Strong correlation in narrow energy bands. The transition metals afford the main area of interest here. The work of Gutzwiller is given some prominence.

  3. (iii)

    Bond localization of electrons. While this approach is difficult to make quantitative, it is, it appears, a powerful way of simulating electron correlation effects.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. M. Bennett and J.C. Inkson, J. Phys. C10, 987 (1977).

    Google Scholar 

  2. N.F. Berk and J.R. Schrieffer, Phys. Rev. Letts. 17, 433 (1969).

    Article  Google Scholar 

  3. W.F. Brunnen and T.M. Rice, Phys. Rev. B2, 4302 (1970).

    Google Scholar 

  4. C.A. Coulson and I. Fischer, Phil. Mag. 40, 386 (1949).

    CAS  Google Scholar 

  5. P.A.M. Dirac, Proc. Camb. Phil. Soc. 26, 376 (1930).

    Article  CAS  Google Scholar 

  6. S. Doniach and S. Engelberg, Phys. Rev. Letts. 17, 750 (1969).

    Article  Google Scholar 

  7. F. Duscastelle, J. Physique 31, 1055 (1970).

    Article  Google Scholar 

  8. J. Friedel in Physics of Metals I, Electrons, J.M. Ziman, ed. Cambridge Univ. Press, 1969.

    Google Scholar 

  9. J. Friedel and C.M. Sayers, J. Physique 38, 697 (1977). ibid 38, L263.

    Article  CAS  Google Scholar 

  10. M. Gell-Mann and K.A. Brueckner, Phys. Rev. 106, 364 (1957).

    Article  CAS  Google Scholar 

  11. K.A. Gschneider, Solid State Physics 16, 275, eds. F. Seitz and D. Turnbull, Acad. Press, New York (1964).

    Google Scholar 

  12. M.C. Gutzwiller, Phys. Rev. 137, A1726 (1965).

    Article  Google Scholar 

  13. L. Hedin, Phys. Rev. 139, A796 (1965).

    Google Scholar 

  14. L. Hedin and S. Lundquist, Solid State Physics 23, 1, eds. F. Seitz, D. Turnbull and H. Ehrenreich, Academic Press, New York (1969).

    Google Scholar 

  15. F. Herman, J.P. van Dyke and I.B. Ortenburger, Phys. Rev. Letts. 22, 807 (1969).

    Article  CAS  Google Scholar 

  16. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964).

    Article  Google Scholar 

  17. J.C. Inkson, J. Phys. C5, 2599 (1972).

    Google Scholar 

  18. B. Johansson and K.F. Berggren, Phys. Rev. 181, 855 (1969).

    Article  Google Scholar 

  19. E.O. Kane, Phys. Rev. B4, 1910 (1971); Phys. Rev. B5, 1493 (1972).

    Google Scholar 

  20. W. Kohn and L.J. Sham, Phys. Rev. 140A, 1133 (1965).

    Article  Google Scholar 

  21. E.H. Lieb and C. Wu, Phys. Rev. Letts. 20, 1445 (1968).

    Article  Google Scholar 

  22. N.H. March, Phys. Rev. 110, 604 (1958).

    Article  CAS  Google Scholar 

  23. C.M. Sayers, J. Phys. F7, 1157 (1977).

    Article  Google Scholar 

  24. J.R. Schrieffer, Theory of Superconductivity, Benjamin Press, New York (1964)

    Google Scholar 

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

    Article  CAS  Google Scholar 

  26. J.C. Slater and H.M. Krutter, Phys. Rev. 47, 559 (1935).

    Article  CAS  Google Scholar 

  27. B. Stenhouse, P.J. Grout, N.H. March and J. Wenzel, Phil. Mag. (July number, 1977).

    Google Scholar 

  28. J.C. Stoddart, P. Stoney, N.H. March and I.B. Ortenburger, Nuovo Cimento, 23B, 15 (1974).

    CAS  Google Scholar 

  29. S. Weinbaum, J. Chem. Phys. 1, 593 (1933).

    Article  CAS  Google Scholar 

  30. E.P. Wigner, Phys. Rev. 46, 1002 (1934), Trans. Far. Soc. 34, 678 (1938).

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1978 D. Reidel Publishing Company, Dordrecht, Holland

About this paper

Cite this paper

March, N.H. (1978). Correlation Energy in Solids. In: André, JM., Delhalle, J., Ladik, J. (eds) Quantum Theory of Polymers. NATO Advanced Study Institutes Series, vol 39. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9812-4_4

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-9812-4_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-9814-8

  • Online ISBN: 978-94-009-9812-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics