Advertisement

Electron Interaction with Surface Modes

  • G. D. Mahan
Part of the NATO Advanced Study Institutes Series book series (volume 2)

Abstract

The important excitations of solids are plasmons, phonons, excitons, magnons, etc.. Almost invariably, each of these excitations of the bulk solid has a surface mode counterpart. Thus there are suface plasmons, surface phonons, and maybe surface excitons and surface magnons. Certain of these modes are electrostatic in origin, and their properties may be derived by a classical analysis using Maxwell’s equations. It is these modes which are the subject of this review. This by no means includes all of the important suface excitations, e.g., Rayleigh waves are omitted. The modes which we do include may be described by a common mathematical formalism. These are surface plasmons on a metal, surface optical (SO) phonons and surface excitons. These are also the excitations which have been the subject of most of the recent theoretical and experimental investigations.

Keywords

Wave Vector Dispersion Curve Dielectric Function Surface Mode Electron Interaction 
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.
    Ritchie, R.H. (1957). Phys. Rev., 106, 874.MathSciNetCrossRefADSGoogle Scholar
  2. 2.
    Stern, E.A. and Ferrell, R.A. (1960). Phys. Rev., 120 130.MathSciNetCrossRefADSGoogle Scholar
  3. 3.
    Teng, Y.Y. and Stern, E.A. (1967). Phys. Rev. Lett., 19, 511.CrossRefADSGoogle Scholar
  4. 4.
    Ritchie, R.H. (1973). Surf. Sci., 34, 1.CrossRefADSGoogle Scholar
  5. 5.
    Fuchs, R. and Kliewer, K.L. (1965). Phys. Rev., 140, A2076.CrossRefADSGoogle Scholar
  6. 5a.
    Kliewer, K.L. and Fuchs, R. (1966). Phys. Rev., 144, 495.CrossRefADSGoogle Scholar
  7. 5b.
    Fuchs, R. and Kliewer, K.L. (1966). Phys. Rev., 150, 573.CrossRefADSGoogle Scholar
  8. 6.
    Ibach, H. (1970). Phys. Rev. Lett., 24, 1416;CrossRefADSGoogle Scholar
  9. 6a.
    Ibach, H. (1971). Phys. Rev. Lett., 27, 253.CrossRefADSGoogle Scholar
  10. 7.
    Lucas, A.A. and Kartheuser, E. (1970). Phys. Rev., B1, 3588.ADSGoogle Scholar
  11. 8.
    Lucas, A.A., Kartheuser, E. and Badro, R.G. (1970). Phys. Rev. Rev., B2, 2488.CrossRefADSGoogle Scholar
  12. 9.
    Lucas, A.A. (1971). Phys. Rev., B4, 2939.ADSGoogle Scholar
  13. 10.
    Lucas, A.A. (1971). Phys. Rev. Lett., 26, 813;CrossRefADSGoogle Scholar
  14. 10a.
    Sunjic, M. and Lucas, A.A. (1971). Phys. Rev., B3, 719;ADSGoogle Scholar
  15. 10b.
    Lucas, A.A. and Sunjic, M. (1971). Phys. Rev. Lett., 26, 229.CrossRefADSGoogle Scholar
  16. 11.
    Mahan, G.D. (1972). Phys. Rev., B5, 739.ADSGoogle Scholar
  17. 12.
    Ritchie, R..H. (1972). Phys. Lett., 38A, 189.ADSGoogle Scholar
  18. 13.
    Feibelman, P.J. (1971). Surf. Sci., 27, 438.CrossRefADSGoogle Scholar
  19. 14.
    Van Kampen, N.G., Nijboer, B.R.A. and Schräm, K. (1968). Phys. Lett., 26A, 307.ADSGoogle Scholar
  20. 15.
    Gerlach, E. (1971). Phys. Rev., B4, 393.MathSciNetADSGoogle Scholar
  21. 16.
    Ray, R. and Mahan, G.D. (1972). Phys. Lett., 42A, 301.ADSGoogle Scholar
  22. 17.
    Sunjic, M, Toulouse, G. and Lucas, A.A. (1972). Solid State Commun., 11, 1629.CrossRefADSGoogle Scholar
  23. 18.
    Sak, J. (1972). Phys. Rev., B6, 3981.ADSGoogle Scholar
  24. 19.
    Evans, E. and Mills, D.L. (1972). Solid State Commun., 11, 1093; and to be published.CrossRefADSGoogle Scholar
  25. 20.
    Kartheuser, E. (Private communication).Google Scholar
  26. 21.
    Economou, E.N. (1969). Phys. Rev., 182, 539.CrossRefADSGoogle Scholar
  27. 22.
    Hopfïeld, J.J. (1958). Phys. Rev., 112, 1555.MATHCrossRefADSGoogle Scholar
  28. 23.
    Brown, F.C. (1967). The Physios of Solids, (W.A. Benjamin, New York), chapter 8.Google Scholar
  29. 24.
    Wang, S.Q. and Mahan, G.D. (1972). Phys. Rev., B6, 4517.ADSGoogle Scholar
  30. 25.
    Brodin, M.S., Dudinski, M.A. and Marisova, S.V. (1971). Sov. Phys. Opt. Spectros. 31, 401.Google Scholar
  31. 26.
    Sugakov, V.l. (1973). Sov. Phys. Solid State, 14, 1711.Google Scholar
  32. 27.
    Harstein, A., Burstein, E., Brion, J.J. and Wallis, R.F. (1973). Surf. Sci., 34, 81.CrossRefADSGoogle Scholar
  33. 28.
    Otto, A. (To be published).Google Scholar
  34. 29.
    Ritchie, R.H., Arakawa, E.T., Cowan, J.J. and Hamm, R.N. (1968). Phys. Rev. Lett., 21, 1530.CrossRefADSGoogle Scholar
  35. 30.
    Wood, R.W. (1902). Phil. Mag., 4, 393;Google Scholar
  36. 30a.
    Wood, R.W. (1912). Phil. Mag., 23, 310;Google Scholar
  37. 30b.
    Wood, R.W. (1935). Phys. Rev., 48, 928;CrossRefADSGoogle Scholar
  38. 30c.
    Rayleigh, L. (1907). Phil. Mag., 14, 60.Google Scholar
  39. 31.
    Fano U. (1938). Ann. d. Phys., 32, 393;CrossRefADSGoogle Scholar
  40. 31a.
    Fano U. (1941). J. Opt. Amer., 31, 213.CrossRefADSGoogle Scholar
  41. 32.
    Powell, C. (1968). Phys. Rev., 175, 972.CrossRefADSGoogle Scholar
  42. 33.
    Stern, E.A. (1966). Optical Properties and Electronic Structure of Metals and Alloys, (ed. Abeles, F.), (J. Wiley & Sons, New York), pp. 396–397.Google Scholar
  43. 34.
    Otto, A. (1968). Phys. Stat. Sol., 26, K99.CrossRefADSGoogle Scholar
  44. 34a.
    Otto, A. (1968). Z. Phys., 216, 398.CrossRefADSGoogle Scholar
  45. 35.
    Bryskin, V.V., Gerbstein, Yu.M- and Mirlin, D.N. (1972). Sov Sov. Phys. Solid State, 13, 1779.Google Scholar
  46. 36.
    Marshall, N. and Fisher, B. (1972). Phys. Rev. Lett., 28, 811.CrossRefADSGoogle Scholar
  47. 37.
    Barker, A.S. (1972). Phys. Rev. Lett., 28, 892;CrossRefADSGoogle Scholar
  48. 37a.
    Barker, A.S. (1973). Surf. Sci., 34, 62.CrossRefADSGoogle Scholar
  49. 38.
    Schoenwald, J., Burstein, E. and Elson, J.M. (1972). Proceedings of the Taormina Research Conference on the Structure of Matter, Polaritons. Google Scholar
  50. 39.
    Ritchie, in Reference [12], presents such a scheme, but we are not satisfied with it.Google Scholar
  51. 40.
    Hedin, L., Lundqvist, B.I. and Lundqvist, S. (1967). Solid State Commun., 5, 237;CrossRefADSGoogle Scholar
  52. 40a.
    Lundqvist, B.I. (1967). Phys. Kond. Mat., 6, 193, 206.Google Scholar
  53. 41.
    Devreese, J.T. (1972). (ed.) Polarons in Ionic Crystals and Volar Semiconductors, (North-Holland, Amsterdam).Google Scholar
  54. 42.
    Inoue, M., Mahutte, CK. and Wang, S. (1970). Phys. Rev., B2, 539.ADSGoogle Scholar
  55. 43.
    Feynman, R.P. (1951). Phys. Rev., 84, 108.MathSciNetMATHCrossRefADSGoogle Scholar
  56. 44.
    Huber, D.L. (Private communication).Google Scholar
  57. 45.
    Newns, D.M. (1970). Phys. Rev., B1, 3304.ADSGoogle Scholar
  58. 46.
    Herring, C. (Private communication).Google Scholar
  59. 47.
    Pekar, S.I. (1958). Soviet Physics JETP, 6, 785;MathSciNetADSGoogle Scholar
  60. 47a.
    Pekar, S.I. (1958). Sov. Phys. JETP., 7, 813;MathSciNetGoogle Scholar
  61. 47b.
    Pekar, S.I. (1962). Sov. Phys. Solid State, 4, 953.Google Scholar
  62. 48.
    Hopfield, J.J. and Thomas, D.G. (1963). Phys. Rev., 132, 563.CrossRefADSGoogle Scholar
  63. 49.
    Mahan, G.D. and Hopfield, J.J. (1964). Phys. Rev., 135, A428.CrossRefADSGoogle Scholar
  64. 50.
    Hopfield, J.J. (1964). Proceedings, of the International Conference on the Physics of Semiconductors, Paris, 1964.Google Scholar
  65. 51.
    Maradudin, A.A. and Mills, D.L. Phys. Rev., B7, (To be published).Google Scholar
  66. 52.
    Haxton, M. and Mahan, G.D. (To be published).Google Scholar
  67. 53.
    Zeyher, R., Birman, J.L. and Brenig, W. (1972). Phys. Rev., B6, 4613.ADSGoogle Scholar
  68. 54.
    Kliewer, K.L. and Fuchs, R. (1968). Phys. Rev., 172, 607;CrossRefADSGoogle Scholar
  69. 54a.
    Fuchs, R. and Kliewer, K.L. (1971). Phys. Rev., 185, 905;CrossRefADSGoogle Scholar
  70. 54b.
    Fuchs, R. and Kliewer, K.L. (1971). Phys. Rev., B3, 2270.ADSGoogle Scholar
  71. 55.
    Flores, F., Garcia-Moliner, F. and Rubio, J. (1970). Solid State Commun., 8, 1065;CrossRefADSGoogle Scholar
  72. 55a.
    Flores, F. and Garcia-Moliner, F. (1972). Solid State Commun., 11, 1295.CrossRefADSGoogle Scholar

Copyright information

© Plenum Press, London 1974

Authors and Affiliations

  • G. D. Mahan
    • 1
  1. 1.Department of PhysicsIndiana UniversityBloomingtonUSA

Personalised recommendations