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Empirical Band Calculations

  • Joachim Treusch
Conference paper
Part of the The IBM Research Symposia Series book series (IRSS)

Abstract

Much has been said in the very recent past about philosophy and technique of the pseudopotential method, which we regard to be the fundamental method in the area of empirical band calculations. Authoritative writers like Marvin Cohen, Volker Heine, J. C. Phillips, John Ziman, and my late friend Rolf Sandrock gave brilliant reviews (1–5), illuminating the various aspects of the work done in this field during the last ten years. Thus little can be done in the frame of this article to enhance the reputation of the pseudopotential scheme, and we will restrict ourselves to the modest aim of giving a report of recent work and of what we feel can be the impact of this method for the next future. At the beginning, however, we have to recall some of the basic ideas and formulas in order to make clear, what we are speaking about.

Keywords

Form Factor Model Potential Reciprocal Lattice Vector Pseudopotential Method Dipole Matrix Element 
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).
    M.L. Cohen and V. Heine, Solid State Physics, Vol. 24, 38 (1970)CrossRefGoogle Scholar
  2. (2).
    V. Heine, Solid State Physics, 24, 1 (1970) V. Heine and D. Weaire, Solid State Physics 24, 25o V. Heine, in “The Physics of Metals” Vol.1, Electrons (J.M. Ziman, ed. ), Cambridge Univ.Press 1968Google Scholar
  3. (3).
    J.C. Phillips, Advances in Physics 17, 79 (1 968)Google Scholar
  4. (4).
    J.M. Ziman, Solid State Physics 26, 1 (1971)CrossRefGoogle Scholar
  5. (5).
    R. Sandrock, in Festkörperprobleme X ( O. Madelung, ed.) p. 283, Vieweg, Braunschweig 1970CrossRefGoogle Scholar
  6. (6).
    M.L. Cohen and T. K. Bergstresser, Phys.Rev. 141, 789 (1966)ADSCrossRefGoogle Scholar
  7. (7).
    V. Heine and I.V. Abarenkov, Phil.Mag. 9,45 1 (1 964) I.V. Abarenkov and V. Heine, Phil.Mag. 12,529(1965) A.O.E. Animalu, Phil.Mag. 11,379(1965) A.O.E. Animalu and V. Heine, Phil.Mag. 12,1249(1965)Google Scholar
  8. (8).
    J.C. Phillips, Phys. Rev. 168, 905,912, 917 (1968)Google Scholar
  9. (9).
    D.R. Penn, Phys.Rev. 128, 2093 (1962)ADSMATHCrossRefGoogle Scholar
  10. (10) L.M. Falicov and P.J. Lin, Phys.Rev.141,562 (1966)
    P.J. Lin and L.M. Falicov, Phys.Rev. 142, 441 (1966)ADSCrossRefGoogle Scholar
  11. (11).
    R. Sandrock, Phys.Rev. 169, 642 (1968)ADSCrossRefGoogle Scholar
  12. (12).
    T.K. Bergstresser and M.L. Cohen, Phys.Rev. 164, 1069 (1967)ADSCrossRefGoogle Scholar
  13. (13).
    H.-G. Junginger and W. van Haeringen, phys stat sol. 37, 709 (1970)Google Scholar
  14. (14).
    G. Weisz, Phys.Rev. 149 504 (1966)ADSCrossRefGoogle Scholar
  15. (15).
    Y.W. Tung and M.L. Cohen, Phys.Rev. 180, 823 (1 969)Google Scholar
  16. (16).
    S. Bloom and T.K. Bergstresser, Sol.State Commun. 6, 465 (1968)ADSCrossRefGoogle Scholar
  17. (17).
    F.M. Mueller, Phys.Rev. 153, 659 (1967) F.M. Mueller and J.C. Phillips, Phys.Rev. 157, 600 (1967)ADSGoogle Scholar
  18. (18).
    C.Y. Fong and M.L. Cohen, Phys.Rev.Letters 24, 306 (1970)ADSCrossRefGoogle Scholar
  19. (19).
    L.A. Hemstreet Jr., C.Y. Fong, and M.L. Cohen, Phys.Rev. B2, 2054 (1970)ADSCrossRefGoogle Scholar
  20. (20).
    D. Brust, Phys.Rev. 134, 1337 (1964)ADSCrossRefGoogle Scholar
  21. (21).
    K. Maschke, phys stat sol (in press)Google Scholar
  22. (22).
    R.L. Bowers and G.D. Mahan, Phys.Rev. 185, 1073 (1969)Google Scholar
  23. (23).
    J.P. Walter and M.L. Cohen, Phys.Rev.Letters 26, 17 (1971)ADSCrossRefGoogle Scholar
  24. (24).
    J.P. Walter and M.L. Cohen, Phys.Rev. B2, 1821 (1970)Google Scholar
  25. (25).
    B. Kramer, K. Maschke, P. Thomas, and J. Treusch, Phys. Rev.Letters 25, 1020 (1970) B. Kramer, phys. stat. sol., 41 649, 725 (1970)ADSCrossRefGoogle Scholar
  26. (26).
    B. Kramer, in Proc. Internatl. Confon Amorphous and Liquid Semicond.,Ann Harbor, Mich., 1971, in pressGoogle Scholar
  27. (27).
    J.C. Phillips, Phys.Rev. B1 1540, 1545 (1970)ADSGoogle Scholar
  28. (28).
    R.M. Martin, Phys.Rev. B1, 4005 (1970)ADSCrossRefGoogle Scholar
  29. (29).
    J.C. Phillips and J.A. van Vechten, Phys.Rev. B2, 2 1 47 (1 9 7 o)Google Scholar
  30. (30).
    J. Hermanson and J.C. Phillips, Phys.Rev. 150, 652 J. Hermanson, Phys.Rev. 150, 660 (1966) U. Rössler, phys. stat. sol. 42, 345 (1970)Google Scholar

Copyright information

© Plenum Press, New York 1972

Authors and Affiliations

  • Joachim Treusch
    • 1
  1. 1.Institut für PhysikUniversität DortmundDeutschland

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