A Condensed Matter View of Giant Resonance Phenomena

  • Andrew Zangwill
Chapter
Part of the NATO ASI Series book series (NSSB, volume 151)

Abstract

It is my intent in this article to present a view of giant resonance phenomena (an essentially atomic phenomenon) from the perspective of a condensed matter physicist with an interest in the optical properties of matter. As we shall see, this amounts to a particular prejudice about how one should think about many-body effects in a system of interacting electrons. Some of these effects are special to condensed matter systems and will be dealt with in the second half of this paper. However, it turns out that my view of the main ingredient to a giant resonance differs significantly from that normally taken by scientists trained in the traditional methods of atomic physics. Therefore, in the first section that follows, I will take advantage of the fact that my contribution to this volume was composed and delivered to the publishers somewhat after the conclusion of the School (rather than before as requested by the organizers) and try to clearly distinguish the differences of opinion presented by the lecturers from the unalterable experimental facts.

Keywords

Oscillator Strength Local Density Approximation Random Phase Approximation Giant Resonance Core Hole 
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.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    P. Rabe, K. Radler and H.W. Wolff in Vacuum UV Radiation Physics, edited by E.E. Koch et al. (Vieweg-Pergamon, Berlin, 1974), p. 247.Google Scholar
  2. 2.
    D.J. Rowe, Nuclear Collective Motion (Metheun, London, 1970).Google Scholar
  3. 3.
    D. Pines and P. Nozieres, The Theory of Quantum Liquids (W.A. Benjamin, New York, 1966).Google Scholar
  4. 4.
    H.P. Kelly, S.L. Carter and B.E. Norum, Phys. Rev. A25, 2052 (1982). See also the contribution of C. Clark to this volume.CrossRefGoogle Scholar
  5. 5.
    H.P. Kelly, Phys. Scr. 21, 448 (1980) and this volume.CrossRefGoogle Scholar
  6. 6.
    C.A. Nicolaides in Advanced Theories and Computational Approaches to the Electronic Structure of Molecules, edited by C.E. Dykstra (Reidel, Dordrecht, 1984), pp. 161–184 and this volume.CrossRefGoogle Scholar
  7. 7.
    P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964)MathSciNetCrossRefGoogle Scholar
  8. W. Kohn and L.J. Sham, Phys. Rev. 140, A1133 (1965).MathSciNetCrossRefGoogle Scholar
  9. 8.
    For a review, see Theory of Inhomogeneous Electron Gas, edited by S. Lundqvist and N.H. March (Plenum, New York, 1983).Google Scholar
  10. 9.
    C.S. Wang and B.M. Klein, Phys. Rev. B24, 3417 (1981) and references therein.CrossRefGoogle Scholar
  11. 10.
    P.B. Roulet and P. Nozieres, J. Phys. (Paris) 29, 167 (1968).CrossRefGoogle Scholar
  12. 11.
    M. Ya. Amusia and N.A. Cherepkov, Case Studies in Atomic Physics 5, 47 (1975).Google Scholar
  13. 12.
    G. Wendin in Photoionization and Other Probes of Many-Electron Interactions, edited by F.J. Wuilleumier (Plenum, New York, 1976).Google Scholar
  14. 13.
    F. Bassani and G. Pastori Parravicini, Electronic States and Optical Transitions in Solids (Pergamon, Oxford, 1975).Google Scholar
  15. 14.
    A. Zangwill and Z. Levine, Am. J. Phys. 53, 1177 (1985).CrossRefGoogle Scholar
  16. 15.
    W. Hanke, H.J. Mattausch and G. Strinati in Electron Correlations in Solids, Molecules and Atoms, edited by J.T. Devreese and F. Brosens (Plenum, New York, 1983), p. 289.CrossRefGoogle Scholar
  17. 16.
    R. Resta and A. Baldereschi, Phys. Rev. B23, 6615 (1981).CrossRefGoogle Scholar
  18. 17.
    L.I. Schiff, Quantum Mechanics (McGraw-Hill, New York, 1968), 3rd edition, p. 265.Google Scholar
  19. See also W. Brandt and S. Lundqvist, Arkiv Physik 28, 399 (1964).Google Scholar
  20. 18.
    A. Zangwill and P. Soven, Phys. Rev. Lett. 45, 204 (1980)CrossRefGoogle Scholar
  21. A. Zangwill and P. Soven, Phys. Rev. A21, 1561 (1980).CrossRefGoogle Scholar
  22. 19.
    A. Zangwill in Atomic Physics 8, edited by I. Lindgren, A. Rosen and S. Svanberg (Plenum, New York, 1983), p. 339Google Scholar
  23. A. Zangwill in EXAFS and Near Edge Structure III, edited by K.O. Hodgson, B. Hedman and J.E. Penner-Hanh (Springer, Berlin, 1984), p. 13.CrossRefGoogle Scholar
  24. 20.
    G. Wendin in New Trends in Atomic Physics, edited by G. Grynberg and R. Stora (North-Holland, Amsterdam, 1984), p. 555.Google Scholar
  25. 21.
    D.C. Langreth and M.J. Mehl, Phys. Rev. B28, 1809 (1983).CrossRefGoogle Scholar
  26. 22.
    A. Zangwill and P. Soven, J. Vac. Sci. Tech. 17 159 (1980).CrossRefGoogle Scholar
  27. 23.
    Z. Crljen and G. Wendin, Phys. Scr. 32, 359 (1985) and to be published.CrossRefGoogle Scholar
  28. 24.
    D.A. Liberman and A. Zangwill, Comp. Phys. Commun. 32, 75 (1984).CrossRefGoogle Scholar
  29. 25.
    M.J. Stott and E. Zaremba, Phys. Rev. A21, 12 (1980).CrossRefGoogle Scholar
  30. 26.
    H. Kohl and R.M. Dreizler, Phys. Rev. Lett. 56, 1993 (1986).MathSciNetCrossRefGoogle Scholar
  31. 27.
    E.K.U. Gross and W. Kohn, Phys. Rev. Lett. 55, 2850 (1985).CrossRefGoogle Scholar
  32. 28.
    U. Fano, Phys. Rev. 124, 1866 (1961).CrossRefMATHGoogle Scholar
  33. 29.
    A. Shibatai and Y. Toyozawa, J. Phys. Soc. Jpn. 25, 335 (1968).CrossRefGoogle Scholar
  34. 30.
    L.C. Davis and L.A. Feldkamp, Phys. Rev. B23, 6239 (1981).CrossRefGoogle Scholar
  35. 31.
    D. Wieliczka, J.H. Weaver, D.W. Lynch and C.G. Olson, Phys. Rev. B26, 7056 (1982).CrossRefGoogle Scholar
  36. 32.
    A. Fujimori and J.H. Weaver, Phys. Rev. B31, 6411 (1985).CrossRefGoogle Scholar
  37. 33.
    J.L. Dehmer, A.F. Starace, U. Fano, J. Sugar and J.W. Cooper, Phys. Rev. Lett. 26, 1521 (1971).CrossRefGoogle Scholar
  38. 34.
    J.W. Allen, L.I. Johansson, I. Lindau and S.B. Hagstrom, Phys. Rev. B21, 1335 (1980).CrossRefGoogle Scholar
  39. 35.
    B. Johansson, Phys. Rev. B19, 6615 (1979).CrossRefGoogle Scholar
  40. 36.
    J.E. Müller and J.W. Wilkins, Phys. Rev. B29, 4331 (1984).CrossRefGoogle Scholar
  41. 37.
    R.D. Leapman, L.A. Grunes and P.L. Fejes, Phys. Rev. B24, 614 (1982).CrossRefGoogle Scholar
  42. 38.
    B. Sonntag, R. Haensel and C. Kunz, Solid State Commun. 7, 597 (1969).CrossRefGoogle Scholar
  43. 39.
    J. Barth, G. Kalkoffen and C. Kunz, Phys. Lett. 74A, 360 (1979).CrossRefGoogle Scholar
  44. 40.
    E. Schmidt, H. Schroder, B. Sonntag, H. Voss and H.E. Wetzel, J. Phys. B16, 2961 (1983).Google Scholar
  45. 41.
    L.C. Davis and L.A. Feldkamp, Solid State Commun. 19, 412 (1976).Google Scholar
  46. 42.
    M. Combescot and P. Nozieres, J. Phys. (Paris) 32, 913 (1971).CrossRefGoogle Scholar
  47. 43.
    J. Barth, F. Gerken and C. Kunz, Phys. Rev. B31, 2022 (1985).CrossRefGoogle Scholar
  48. 44.
    S.J. Oh and S. Doniach, Phys. Rev. B26, 1859 (1982).CrossRefGoogle Scholar
  49. 45.
    A. Franciosi, S. Chang, R. Reifenberger, U. Debska and R. Riedel, Phys. Rev. B32, 6682 (1985).CrossRefGoogle Scholar
  50. 46.
    M.J. Puska, R.M. Nieminen and M. Manninen, Phys. Rev. B31, 3486 (1985)CrossRefGoogle Scholar
  51. W. Ekhardt, Phys. Rev. B31, 6360 (1985).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • Andrew Zangwill
    • 1
  1. 1.School of PhysicsGeorgia Institute of TechnologyAtlantaUSA

Personalised recommendations