Advertisement

Zeitschrift für Physik B Condensed Matter

, Volume 78, Issue 2, pp 255–264 | Cite as

Exchange and correlation effects in the Visscher-Falicov model for metal intercalated graphite

  • H. M. Miesenböck
  • M. P. Tosi
Article

Abstract

A simple model for metal intercalated graphite as a layered electron gas treated in the random phase approximation, which was proposed in early work of Visscher and Falicov, is extended to include exchange and short-range intraplane correlations between the electrons. Main attention is focussed on the static screening function of the model system, in relation to effective pair potentials in metal intercalants. The local field factor accounting for exchange and correlation is related to the intraplane electron structure factor and the latter is evaluated in a simple pseudoclassical approach, which is tested against known results for a quantal 2 D electron gas. Screening of an external point charge is shown to be appreciably modified by exchange and correlation in the case when it lies in an electron plane, leading to a deeper main attractive well between two external charges lying in the same electron plane. On the other hand, exchange and correlation have only minor effects when the charges lie at mid distance between two electron planes, at least if reasonable physical requirements are made on acceptable values for the electron screening length in the relevant range of model parameters.

Keywords

Pair Potential Random Phase Approximation Screening Length Physical Requirement Electron Screening 
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.
    Visscher, P.B., Falicov, L.M.: Phys. Rev. B3, 2541 (1971)Google Scholar
  2. 2.
    See, for instance, Dresselhaus, M.S., Dresselhaus, G.: Adv. Phys.30, 139 (1981)Google Scholar
  3. 3.
    Plischke, M.: Can. J. Phys.59, 802 (1981)Google Scholar
  4. 4.
    Plischke, M., Leckie, W.D.: Can. J. Phys.60, 1139 (1982)Google Scholar
  5. 5.
    Zabel, H., Magerl, A., Dianoux, A.J., Rush, J.J.: Phys. Rev. Lett.50, 2094 (1983)Google Scholar
  6. 6.
    See, for instance, Singwi, K.S., Tosi, M.P.: Solid State Phys.36, 177 (1981)Google Scholar
  7. 7.
    Shung, K.W.K.: Phys. Rev. B34, 979 (1986)Google Scholar
  8. 8.
    Singwi, K.S., Tosi, M.P., Land, R.H., Sjölander, A.: Phys. Rev.176, 589 (1968)Google Scholar
  9. 9.
    Singwi, K.S., Sjölander, A., Tosi, M.P., Land, R.H.: Phys. Rev. B1, 1044 (1970)Google Scholar
  10. 10.
    Vericat, F., Pastore, G., Tosi, M.P.: Nuovo Cimento D8, 59 (1986)Google Scholar
  11. 11a.
    Ceperley, D.: Phys. Rev. B18, 3126 (1978);Google Scholar
  12. 11b.
    Ceperley, D., Alder, B.J.: Phys. Rev. Lett.45, 566 (1980)Google Scholar
  13. 12.
    Grecu, D.: Phys. Rev. B8, 1958 (1973)Google Scholar
  14. 13.
    Stern, F.: Phys. Rev. Lett.18, 546 (1967)Google Scholar
  15. 14.
    Hohenberg, P., Kohn, W.: Phys. Rev.136, B846 (1964)Google Scholar
  16. 15.
    Kohn, W., Sham, L.J.: Phys. Rev.140, A1133 (1965)Google Scholar
  17. 16.
    Ichimaru, S.: Rev. Mod. Phys.54, 1017 (1982); Phys. Rep.149, 93 (1987)Google Scholar
  18. 17.
    Jonson, H.: J. Phys. C9, 3055 (1976)Google Scholar
  19. 18.
    Rajagopal, A.K., Kimball, J.C.: Phys. Rev. B15, 2819 (1977)Google Scholar
  20. 19.
    Tosi, M.P., March, N.F.: Phys. Chem. Liquids14, 303 (1985)Google Scholar
  21. 20.
    Iwamoto, N.: Phys. Rev. A30, 3289 (1984)Google Scholar
  22. 21.
    Miesenböck, H.M., Tosi, M.P.: Nuovo Cimento9D, 301 (1987)Google Scholar
  23. 22.
    Fetter, A.L.: Ann. Phys. (NY)88, 1 (1974)Google Scholar
  24. 23.
    Mayanovich, R.A., Giuliani, G.F., Quinn, J.J.: Phys. Rev. B33, 8390 (1982) and references thereinGoogle Scholar
  25. 24.
    See, for instance, Baus, M., Hansen, J.P.: Phys. Rep.59, 1 (1980)Google Scholar
  26. 25.
    Lado, F.: J. Comp. Phys.8, 417 (1971)Google Scholar
  27. 26.
    Ng, K.: J. Chem. Phys.61, 2680 (1974)Google Scholar
  28. 27.
    Freeman, D.L.: J. Phys. C16, 711 (1983)Google Scholar
  29. 28.
    Nagano, S., Singwi, K.S., Ohnishi, S.: Phys. Rev. B29, 1209 (1984), Phys. Rev. B31, 3166 (1985)Google Scholar
  30. 29.
    Isawa, Y., Yasuhara, H.: Solid State Commun.46, 807 (1983)Google Scholar
  31. 30.
    Pastore, G.: (unpublished)Google Scholar
  32. 31.
    Niklasson, G.: Phys. Rev. B10, 3052 (1974)Google Scholar
  33. 32.
    Santoro, G.E., Giuliani, G.F.: Phys. Rev. B37, 4813 (1988)Google Scholar
  34. 33.
    Hasegawa, T., Shimizu, M.: J. Phys. Soc. Jpn.38, 965 (1975)Google Scholar
  35. 34.
    Gradshteyn, I.S., Ryzhik, I.M.: Table of integrals, series and products, Nr. 3.613. London: Academic Press 1965Google Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • H. M. Miesenböck
    • 1
    • 2
  • M. P. Tosi
    • 3
    • 2
  1. 1.Institut für Theoretische PhysikJohannes Kepler Universität LinzLinz-AuhofAustria
  2. 2.International Centre for Theoretical PhysicsTriesteItaly
  3. 3.Dipartimento di Fisica Teorica dell'Università di TriesteMiramareItaly

Personalised recommendations