Advertisement

One-Body Potentials in Crystals

  • N. H. March
Part of the NATO Advanced Study Institutes Series book series (NSSB, volume 24)

Abstract

In these lectures, we shall give an introduction to the basic theory underlying the use of one-body potential theory in crystals. In the course of this discussion, we shall give a few examples to illustrate the theory, and the kind of accuracy one can hope to achieve in particular types of solid, with one-body potential theory. These examples have been chosen from calculations which the author has either been involved in, or of which he has intimate knowledge. In no sense are they claimed to be representative — their role is illustrative.

Keywords

Fermi Surface Correlation Energy Kinetic Energy Density Gradient Expansion Jellium Model 
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. Beattie, A. M., Stoddart, J. C. and March, N. H., 1971, Proc. Roy. Soc. A326, 97.ADSCrossRefGoogle Scholar
  2. Bloch, F., 1928, Zeits. fur Physik 57, 545.ADSCrossRefGoogle Scholar
  3. Born, M. and Huang, K., 1954, Dynamical Theory of Crystal Lattices ( Clarendon Press: Oxford).MATHGoogle Scholar
  4. Brown, P.J., 1972, Phil. Mag., 26, 1377.ADSCrossRefGoogle Scholar
  5. Brown, R. C. and March, N. H., 1973, J. Phys. C6, L363.Google Scholar
  6. Dirac, P. A. M., 1930, Proc. Camb. Phil. Soc. 26, 376.ADSMATHCrossRefGoogle Scholar
  7. Donovan, B. and March, N. H.,1953, Proc. Phys. Soc. A66, 1104.Google Scholar
  8. Geldart, D.J.W, and Rasolt, M., 1976, Phys. Rev. B13, 1477.ADSGoogle Scholar
  9. Gunnarsson, O., 1976, J. Phys. F. 6, 587.ADSCrossRefGoogle Scholar
  10. Hebborn, J. E. and March, N. H., 1970, Adv. Phys. 19, 175.ADSCrossRefGoogle Scholar
  11. Hedin, L. and Lundqvist, S., 1969, Solid State Physics (eds. F. Seitz, D. Turnbull and H. Ehrenreich) Vol. 23, p 1 ( Academic Press: New York ).Google Scholar
  12. Herman, F., van Dyke, J. P. and Ortenburger, I. B., 1969, Phys. Rev. Letts. 22, 807.ADSCrossRefGoogle Scholar
  13. Hodges, C. H., 1973, Can. J. Phys. 51, 1428.ADSCrossRefGoogle Scholar
  14. Hohenberg, P. and Kohn,W., 1964, Phys. Rev. 136, B864.MathSciNetADSCrossRefGoogle Scholar
  15. Jones, W. and March, N. H., 1970, Proc. Roy. Soc. A317, 359, 1973, Theoretical Solid-State Physics, Wiley-Interscience, London, Volumes 1 and 2.Google Scholar
  16. Kirsnitz, D. A., 1957, Sov. Phys. JETP, 5, 64.Google Scholar
  17. Kittel, C., 1963, Quantum Theory of Solids ( Wiley: New York).Google Scholar
  18. Kohn, W. and Sham, L.J., 1965, Phys. Rev. 140A, 1133.MathSciNetADSCrossRefGoogle Scholar
  19. Langlinais, J. and Callaway, J., 1972, Phys. Rev. B 5, 124ADSCrossRefGoogle Scholar
  20. Lidiard, A.B., 1951, Proc. Phys. Soc. A64, 814.Google Scholar
  21. Light, J. C., 1973, J. Chem. Phys. 58, 660. 1974, J. Chem. Phys. 61, 3417.Google Scholar
  22. Ma, S. K. and Brueckner, K.A., 1968, Phys. Rev. 165, 18.ADSCrossRefGoogle Scholar
  23. March, N. H., 1974, Orbital Theories of Molecules and Solids (Clarendon Press: Oxford). 1975, Self-consistent Fields in Atoms (Pergamon: Oxford ).Google Scholar
  24. March, N. H. and Stoddart, J. C., 1972, in Computational Solid State Physics: (Herman) ( Plenum: New York).Google Scholar
  25. Nozières, P. and Pines, D., 1958, Phys. Rev. 111, 442.ADSMATHCrossRefGoogle Scholar
  26. Perrin, R. C., Taylor, R. and March, N. H., 1975, J. Phys. F5, 1490.CrossRefGoogle Scholar
  27. Peuckert, V., 1976, J. Phys. C9, 809.Google Scholar
  28. Rajagopal, A. K. and Callaway, J., 1973, Phys. Rev. B7, 1912.ADSCrossRefGoogle Scholar
  29. Randles, D. L. and Springford, M., 1973, J. Phys. F3, L185.ADSCrossRefGoogle Scholar
  30. Sampson, J. B. and Seitz, F., 1940, Phys. Rev. 58, 633.ADSMATHCrossRefGoogle Scholar
  31. Singwi, K. S., Sjölander, A., Tosi, M. P. and Land, R. H., 1970, Phys. Rev. Bl, 1044.ADSGoogle Scholar
  32. Sjölander, A., Niklasson G. and Singwi K. S., 1975, Phys. Rev. B11, 113.Google Scholar
  33. Slater, J. C., 1951, Phys. Rev. 81, 385.ADSMATHCrossRefGoogle Scholar
  34. Smith, J. R., 1969, Phys. Rev. 181, 522. Stoddart, J. C., 1975, J. Phys. C8, 3391.Google Scholar
  35. Stoddart, J. C., Beattie, A. M. and March, N. H., 1971, Int. J. Quant. Chem. 4, 35.Google Scholar
  36. Stoddart, J. C. and March, N. H. 1967, Proc. Roy. Soc. A299, 279; 1971, Annals of Physics, 64, 174.ADSCrossRefGoogle Scholar
  37. Stoddart, J. C., March, N. H. and Stott, M.J., 1969, Phys. Rev. 186, 683.ADSCrossRefGoogle Scholar
  38. Stoddart, J. C., Stoney, P., March, N. H. and Ortenburger, I. B., 1974, Nuovo Cimento, 23B, 15.CrossRefGoogle Scholar
  39. Stoner, E. C., 1938, Proc. Roy. Soc. A165, 372. 1939, Proc. Roy. Soc. A169, 339.Google Scholar
  40. von Barth, U. and Hedin, L., 1972, J. Phys. C5, 1629.ADSGoogle Scholar
  41. Vosko, S. H. and Rasolt, M., 1974, Phys. Rev. Letts., 32, 297.ADSCrossRefGoogle Scholar
  42. Vosko, S. H., Taylor, R. and Keech, G. H., 1965, Can. J. Phys. 43, 1187.ADSCrossRefGoogle Scholar
  43. Wigner, E. P., 1938, Trans. Far. Soc. 34, 678.CrossRefGoogle Scholar
  44. Yuan, J. M., Lee, S. Y. and Light, J. C., 1974, J. Chem. Phys. 61, 3394.ADSCrossRefGoogle Scholar
  45. Ziman, J.M., 1964, Adv. Phys. 13, 89.ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1977

Authors and Affiliations

  • N. H. March
    • 1
  1. 1.Department of PhysicsThe Blackett Laboratory, Imperial CollegeLondonEngland

Personalised recommendations