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Band Structure and Angular-Resolved Photoelectron Spectra

  • Stefan Hüfner
Chapter
Part of the Advanced Texts in Physics book series (ADTP)

Abstract

The direct transitions which, as shown in Chap. 6, dominate the EDCs from UPS, can be used to determine the electronic band structure of a solid. Looking at standard textbooks on solid-state physics one notices that, while for phonons the band structures (i.e., dispersion relations) have been mapped out — sometimes many years ago — for a number of representative solids in considerable detail by neutron diffraction, such information has become available only more recently for the electronic case. Generally the Fermi surface, which is the surface of the energy E = E F in k-space has been measured. In addition, a few selected points in the E(k) diagram are known from optical experiments. However, only recently, with the utilization of a wide body of material from PES (mostly employing synchrotron radiation), has one been able to determine the electronic dispersion curves for a number of solids. A few representative examples will be given in this chapter, but first the question of how band structure information can be extracted from measured EDCs will be dealt with.

Keywords

Band Structure Fermi Surface Brillouin Zone Normal Emission Brillouin Zone Boundary 
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References

  1. 7.1
    For a recent comprehensive treatment of the field of angle-resolved PES see S.D. Kevan (ed.): Angle-Resolved Photoemission, Theory and Current Applications, Studies in Surf. Sci. Catal., Vol.74 (Elsevier, Amsterdam 1992); a discussion of the relation between ground-state and excited-state band structures via PES can be found in R.W. Godby, R.J. Needs: Physics Scripta T 31, 227 (1990)Google Scholar
  2. 7.2
    J. Stöhr, P.S. Wehner, R.S. Williams, G. Apai, D.A. Shirley: Phys. Rev. B 17, 587 (1978)CrossRefGoogle Scholar
  3. 7.3
    P. Thiry, D. Chandesris, J. Le Cante, G. Guillot, P. Pinchaux, Y. Petroff: Phys. Rev. Lett. 43, 82 (1979)CrossRefGoogle Scholar
  4. Y. Petroff, P. Thiry: Appl. Optics 19, 3957 (1980)CrossRefGoogle Scholar
  5. 7.4
    P. Thiry: La photoémission angulaire dans les solides. These d’État, Université Paris V I, 1979Google Scholar
  6. 7.5
    R. Courths, H. Schulz, S. Hüfner: Solid State Commun. 29, 667 (1979)CrossRefGoogle Scholar
  7. 7.6
    R. Courths, S. Hüfner, H. Schulz: Z. Phys. B 35, 107 (1979)CrossRefGoogle Scholar
  8. 7.7
    D.E. Eastman, J.A. Knapp, F.J. Himpsel: Phys. Rev. Lett. 41, 825 (1978)CrossRefGoogle Scholar
  9. 7.8
    J.A. Knapp, F.J. Himpsel, D.E. Eastman: Phys. Rev. B 19, 4952 (1979)CrossRefGoogle Scholar
  10. 7.9
    E. Dietz, F.J. Himpsel: Solid State Commun. 30, 235 (1979)CrossRefGoogle Scholar
  11. 7.10
    D.T. Ling, J.N. Miller, D.L. Weiszmann, P. Pianetta, L.I. Johansson, I. Lindau, W.L. Spicer: Surf. Sci. 92, 350 (1980)CrossRefGoogle Scholar
  12. 7.11
    A.R. Mackintosh, O.K. Andersen: In Electrons at the Fermi Surface, ed. by M. Springford ( Cambridge Univ. Press, Cambridge 1980 )Google Scholar
  13. 7.12
    P. Hohenberg, W. Kohn: Phys. Rev. 136, B864 (1964)CrossRefGoogle Scholar
  14. 7.13
    W. Kohn, L.J. Sham: Phys. Rev. 140, A1133 (1965)CrossRefGoogle Scholar
  15. 7.14
    L. Hedin, B.L. Lundquist: J. Phys. C 4, 2064 (1971)CrossRefGoogle Scholar
  16. 7.15
    R. Courths, B. Cord, H. Wern, S. Hüfner: Physica Scripta T 4, 144 (1983)CrossRefGoogle Scholar
  17. 7.16
    R.S. Williams, P.S. Wehner, J. Stöhr, D.A. Shirley: Surf. Sci. 75, 216 (1978)CrossRefGoogle Scholar
  18. 7.17
    D. Westphal, A. Goldmann: Surf. Sci. 131, 92 (1983)CrossRefGoogle Scholar
  19. 7.18
    P.J. Jennings, S.M. Thurgate: Surf. Sci. 104, L210 (1981)CrossRefGoogle Scholar
  20. 7.19
    G.A. Burdick: Phys. Rev. 129, 138 (1963)CrossRefGoogle Scholar
  21. 7.20
    L. Hodges, H. Ehrenreich, N.D. Lang: Phys. Rev. 152, 505 (1966)CrossRefGoogle Scholar
  22. 7.21
    F.M. Müller: Phys. Rev. 153, 659 (1967)CrossRefGoogle Scholar
  23. 7.
    L. Ehrenreich, L. Hodges: In Methods in Computational Physics,Vol.8 (Academic, New York 1968)Google Scholar
  24. 7.23
    H. Mürtensson, P.O. Nilsson: Phys. Rev. B 30, 3047 (1984)CrossRefGoogle Scholar
  25. 7.24
    F.J. Himpsel, J.A. Knapp, D.E. Eastman: Phys. Rev. B 19, 2919 (1979)CrossRefGoogle Scholar
  26. 7.25
    W. Eberhardt, E.W. Plummer: Phys. Rev. B 21, 3245 (1980)CrossRefGoogle Scholar
  27. 7.26
    V.L. Moruzzi, J.F. Janak, A.R. Williams: Calculated Electron Properties of Metals ( Pergamon, New York 1978 )Google Scholar
  28. 7.27
    E. Jensen, E.W. Plummer: Phys. Rev. Lett. 55, 1912 (1985)CrossRefGoogle Scholar
  29. 7.28
    D.E. Eastman: In Electron Spectroscopy, ed. by D.A. Shirley ( North-Holland, Amsterdam 1972 ) p. 487Google Scholar
  30. 7.29
    C.S. Fadley, D.A. Shirley: In Electronic Density of States ed. by L.H. Bennet (Nat’l Bur. Stand. (U.S.), Spec. Publ. 232) (U.S.GPO, Washington, D.C. 1971 ) p. 163Google Scholar
  31. 7.30
    S. Ilüfner, G.K. Wertheim, N.V. Smith, M.M. Traum: Solid State Commun. 11, 323 (1972)CrossRefGoogle Scholar
  32. 7.31
    R.J. Smith, J. Anderson, J. Hermanson, G.J. Lapeyre: Solid State Commun. 21, 459 (1977)CrossRefGoogle Scholar
  33. 7.32
    C. Guillot, Y. Ballu, J. Paigne, J. Lecante, K.P. Jain, P. Thiry, R. Pinchaux, Y. Petroff, L.M. Falicov: Phys. Rev. Lett. 39, 1632 (1977)CrossRefGoogle Scholar
  34. 7.33
    D.E. Eastman, F.J. Himpsel, J.A. Knapp: Phys. Rev. Lett. 40, 1514 (1978)CrossRefGoogle Scholar
  35. 7.34
    M.M. Traum, N.V. Smith, H.H. Farrel, D.P. Woodruff, D. Norman: Phys. Rev. B 20, 4008 (1979)CrossRefGoogle Scholar
  36. 7.35
    W. Eberhardt, E.W. Plummer, K. Horn, J. Erskine: Phys. Rev. Lett. 45, 273 (1980)CrossRefGoogle Scholar
  37. 7.36
    J. Barth, G. Kalkoffen, C. Kunz: Phys. Lett. A 74, 360 (1979)CrossRefGoogle Scholar
  38. 7.37
    R. Clauberg, W. Gudat, E. Kisker, G.M. Rothberg: Phys. Rev. Lett. 47, 1314 (1981)CrossRefGoogle Scholar
  39. 7.38
    D.R. Penn: Phys. Rev. Lett. 42, 921 (1979)CrossRefGoogle Scholar
  40. 7.39
    R. Courths, S. Hüfner: Phys. Rep. 112, 53 (1984)CrossRefGoogle Scholar
  41. 7.40
    H. Wern: Winkelaufgelöste Ultraviolett Photoelektronenspektroskopie an Silber. Thesis, Universität des Saarlandes (1985)Google Scholar
  42. 7.41
    E.D. Kane: Phys. Rev. Lett. 12, 97 (1964)CrossRefGoogle Scholar
  43. 7.42
    P. Heimann, H. Miosga, H. Neddermeyer: Solid State Commun. 29, 463 (1979)CrossRefGoogle Scholar
  44. 7.43
    P.O. Nilsson, N. Dahlbaeck: Solid State Commun. 29, 303 (1979)CrossRefGoogle Scholar
  45. 7.44
    H. Asonen, M. Lindroos, M. Pessa, N. Dahlbaeck: Solid State Commun. 35, 69 (1980)CrossRefGoogle Scholar
  46. 7.45
    R. Courths, V. Bachelier, S. Häfner: Solid State Commun. 38, 887 (1981)CrossRefGoogle Scholar
  47. 7.46
    M. Lindroos, H. Asonen, M. Pessa, N.V. Smith: Solid State Commun. 39, 285 (1981)CrossRefGoogle Scholar
  48. 7.47
    R. Courths: Solid State Commun. 40, 529 (1981)CrossRefGoogle Scholar
  49. 7.48
    R. Courths, V. Bachelier, B. Cord, S. Hüfner: Solid State Commun. 40, 1059 (1981)CrossRefGoogle Scholar
  50. 7.49
    M. Pessa, M. Lindroos, H. Asonen, N.V. Smith: Phys. Rev. B 25, 738 (1982)CrossRefGoogle Scholar
  51. 7.50
    R. Courths, H. Wern, U. Hau, B. Cord, V. Bachelier, S. Hüfner: J. Phys. F., Metal Phys. 14, 1559 (1984)CrossRefGoogle Scholar
  52. 7.51
    R. Courths, H. Wern, U. Hau, B. Cord, V. Bachelier, S. Hüfner: Solid State Commun. 49, 989 (1984)CrossRefGoogle Scholar
  53. 7.52
    H. Becker, E. Dietz, U. Gerhardt, A. Angermueller: Phys. Rev. B 12, 2084 (1975)CrossRefGoogle Scholar
  54. 7.53
    H. Eckardt, L. Fritsche, J. Noffke: J. Phys. F 14, 97 (1984)CrossRefGoogle Scholar
  55. 7.54
    M. Wöhlecke, A. Baalmann, M. Neumann: Solid State Commun. 49, 217 (1984)CrossRefGoogle Scholar
  56. A. Baalmann, M. Neumann: BESSY Annual Report 1984Google Scholar
  57. 7.55
    E. Dietz, D.E. Eastman: Phys. Rev. Lett. 41, 1674 (1978)CrossRefGoogle Scholar
  58. 7.56
    J.F. Janak, A.R. Williams, V.L. Moruzzi: Phys. Rev. B 11, 1522 (1975)CrossRefGoogle Scholar
  59. 7.57
    H. Wern, R. Courths, G. Leschik, S. Häfner: Z. Physik B 60, 293 (1985)CrossRefGoogle Scholar
  60. 7.58
    V.N. Strocov, R. Claessen, G. Nicolay, S. Häfner, A. Kimura, A. Harasawa, S. Shin, A. Kakizaki, P.O. Nilsson, H.I. Starnberg, P. Blaha: Phys. Rev. Lett. 81, 4943 (1998)CrossRefGoogle Scholar
  61. 7.59
    R. Rosei, R. Lässer, N.V. Smith, R.L. Benbow: Solid State Commun. 35, 979 (1980)CrossRefGoogle Scholar
  62. 7.60
    J.A. Knapp, F.J. Himpsel, D.E. Eastman: Phys. Rev. B 19, 4952 (1979)CrossRefGoogle Scholar
  63. 7.61
    P.T. Coleridge, I.M. Templeton: Phys. Rev. B 25, 7818 (1982)CrossRefGoogle Scholar
  64. 7.62
    R.L. Benbow, N.V. Smith: Phys. Rev. B 27, 3144 (1983)CrossRefGoogle Scholar
  65. 7.63
    N.V. Smith: In Photoemission in Solids I, ed. by M. Cardona, L. Ley, Topics Appl. Phys., Vol.26 (Springer, Berlin, Heidelberg, 1978) Chap.6Google Scholar
  66. 7.64
    B. Dardel, D. Malterre, M. Grioni, P. Weber, Y. Baer: Phys. Rev. Lett. 67, 3144 (1991)CrossRefGoogle Scholar
  67. R. Claessen, G.H. Gweon, F. Reinert, J.W. Allen, W.P. Ellis, Z.X. Shen, C.G. Olson, L.F. Schneemeyer, F. Lévy: Proc. 6th Int’l Conf. on Electron Spectrosc (Rome 1995), Journ. Electr. Spectrosc. 76, 121 (1995)CrossRefGoogle Scholar
  68. These communications, among others, show the special properties of one-dimensional metals, as observed by PES, most notably the absence of a sharp Fermi cut-off, an energy renormalization of the bands calculated for non-interacting electrons which is larger than one, and possibly a splitting of the one-electron band into a spinon and a holon branch. A system exhibiting these properties is sometimes called a Luttinger liquid (see Chap. 5)Google Scholar
  69. J.M. Luttinger: J. Math. Phys. 4, 1154 (1963)CrossRefGoogle Scholar
  70. V. Meden, K. Schönhammer: Phys. Rev. B 46, 15763 (1992);CrossRefGoogle Scholar
  71. V. Meden, K. Schönhammer: Phys. Rev. B 47, 16205 (1993)CrossRefGoogle Scholar
  72. J. Voit: Phys. Rev. B 47, 6740 (1993)CrossRefGoogle Scholar
  73. 7.65
    H. Przbylski, A. Baalmann, G. Borstel, M. Neumann: Phys. Rev. B 27, 6669 (1983)CrossRefGoogle Scholar
  74. 7.66
    F.J. Himpsel, D.E. Eastman: Phys. Rev. Lett. 41, 507 (1978)CrossRefGoogle Scholar
  75. 7.67
    K.A. Mills, R.F. Davis, S.D. Kevan, G. Thornton, D.A. Shirley: Phys. Rev. B 22, 581 (1980)CrossRefGoogle Scholar
  76. 7.68
    D.P. Woodruff, N.V. Smith, P.D. Johnson, W.A. Royer: Phys. Rev. B 26, 2943 (1982)CrossRefGoogle Scholar
  77. 7.69
    W. Altmann, V. Dose, A. Goldmann, U. Kolac, J. Rogozik: Phys. Rev. B 29, 3015 (1984)CrossRefGoogle Scholar
  78. 7.70
    C.N. Berglund, W.E. Spicer: Phys. Rev. 136, A1030 (1964)CrossRefGoogle Scholar
  79. 7.71
    C.N. Berglund, W.E. Spicer: Phys. Rev. 136, A1044 (1964)CrossRefGoogle Scholar
  80. 7.72
    N.V. Smith: Crit. Rev. Solid State Sci. 2, 45 (1971)CrossRefGoogle Scholar
  81. 7.73
    T. Gustafsson, P.O. Nilsson, L. Wallden: Phys. Lett. A 37, 121 (1971)CrossRefGoogle Scholar
  82. 7.74
    L. Wallden, T.G. Gustafsson: Phys. Scr. 6, 73 (1972)CrossRefGoogle Scholar
  83. 7.75
    R.C. Jaklevic, J. Lambe: Phys. Rev. B 12, 4146 (1975)CrossRefGoogle Scholar
  84. 7.76
    R. Rosei, C.H. Culp, J.H. Weaver: Phys. Rev. B 10, 484 (1974)CrossRefGoogle Scholar
  85. 7.77
    P.O. Nilsson, B. Sandell: Solid State Commun. 8, 721 (1970)CrossRefGoogle Scholar
  86. 7.78
    D.v.d. Marel, G.A. Sawatzky, R. Zeher, F.U. Hillebrecht, J.C. Fuggle: Solid State Commun 50, 47 (1984)CrossRefGoogle Scholar
  87. 7.79
    B. Reihl, R.R. Schlittler: Phys. Rev. B 29, 2267 (1984)CrossRefGoogle Scholar
  88. 7.80
    N.V. Smith, M.M. Traum: Phys. Rev. Lett. 29, 1243 (1972)CrossRefGoogle Scholar
  89. 7.81
    P.O. Nilsson, D.E. Eastman: Phys. Scr. 8, 113 (1975)CrossRefGoogle Scholar
  90. 7.82
    H.F. Roloff, H. Neddermeyer: Solid State Commun. 21, 561 (1977)CrossRefGoogle Scholar
  91. 7.83
    P. Heimann, H. Neddermeyer, H.F. Roloff: Phys. Rev. Lett. 37, 775 (1976)CrossRefGoogle Scholar
  92. 7.84
    F.L. Battye, A. Goldmann, L. Kasper, S. Hüfner: Z. Phys. B 27, 209 (1977)CrossRefGoogle Scholar
  93. 7.85
    D. Liebowitz, N.J. Shevchik: Phys. Rev. B 17, 3825 (1978)CrossRefGoogle Scholar
  94. 7.86
    D. Liebowitz, N.J. Shevchik: Phys. Rev. B 16, 2395 (1977)CrossRefGoogle Scholar
  95. 7.87
    G.V. Hansson, S.A. Flodström: Phys. Rev. B 18, 1562 (1978)CrossRefGoogle Scholar
  96. 7.88
    S.P. Weeks, J.E. Rowe: Solid State Commun. 27, 885 (1978)CrossRefGoogle Scholar
  97. 7.89
    P.S. Wehner, R.S. Williams, S.D. Kevan, D. Denley, D.A. Shirley: Phys. Rev. B 19, 6164 (1979)CrossRefGoogle Scholar
  98. 7.90
    D.P. Spears, R. Melander, L.G. Petersson, S.B.M. Hagström: Phys. Rev. B 21, 1462 (1980)CrossRefGoogle Scholar
  99. 7.91
    G. Borstel, M. Neumann, G. Wöhlecke: Phys. Rev. B 23, 3121 (1981)CrossRefGoogle Scholar
  100. 7.92
    A. Goldmann, D. Westphal, R. Courths: Phys. Rev. B 25, 2000 (1982)Google Scholar
  101. 7.93
    H.A. Padmore, C. Norris, G.C. Smith, C.G. Larsson, D. Norman: J. Phys. C, Solid State Phys. 15, L155 (1982)CrossRefGoogle Scholar
  102. 7.94
    K.C. Prince, G. Paolucci, B. Hayden, A.M. Bradshaw: Bessy Report 1983Google Scholar
  103. 7.95
    H. Wern, G. Leschik, U. Hau, R. Courths: Solid State Commun. 50, 581 (1984)CrossRefGoogle Scholar
  104. 7.96
    For a compilation of band structures determined by photoemission spectroscopy see Landolt-Börnstein,New Series, Group III, Vols. 23A (1989), 23B (1994), and 23C2 (1999) ed. by A. Goldmann, E.E. Koch (Springer, Berlin, Heidelberg)Google Scholar
  105. 7.97
    J.G. Nelson, S. Kim. W.J. Gignac, R.S. Williams, J.G. Tobin, S.W. Robey, D.A. Shirley: Phys. Rev. B 32, 3465 (1985)CrossRefGoogle Scholar
  106. 7.98
    H. Wern, R. Courths: Surf. Sci. 162, 29 (1985)CrossRefGoogle Scholar
  107. 7.99
    N.E. Christensen: Phys. Status Solidi (b) 54, 551 (1972)CrossRefGoogle Scholar
  108. 7.100
    O. Jepsen, D. Gloetzel, A.R. Mackintosh: Phys. Rev. B 23, 2683 (1981) 7.101 J.A. Wilson, A.D. Yoffe: Adv. Phys. 18, 193 (1969)Google Scholar
  109. 7.102
    R.C. Tatar, S. Rabii: Phys. Rev. B 25, 4126 (1982)CrossRefGoogle Scholar
  110. 7.103
    F.R. McFeely, S.P. Kowalczyk, L. Ley, D.A. Shirley: Phys. Lett. A 49, 301 (1974)CrossRefGoogle Scholar
  111. F.R. McFeely, S.P. Kowalczyk, L. Ley, R.G. Cavell, R.A. Pollak, D.A. Shirley: Phys. Rev. B 9, 5268 (1974)CrossRefGoogle Scholar
  112. 7.104
    A.R. Law, M.T. Johnson, H.P. Hughes: Phys. Rev. B 34, 4289 (1986)CrossRefGoogle Scholar
  113. 7.105
    D. Marchan, C. Fretigny, M. Lagues, F. Batallan, Ch. Simon, I. Rosenman, R. Pinchaux: Phys. Rev. B 30, 4788 (1984)CrossRefGoogle Scholar
  114. 7.106
    T. Takahashi, H. Tokailin, T. Sagawa: Solid State Commun. 52, 765 (1984)CrossRefGoogle Scholar
  115. 7.107
    A.R. Law, J.J. Barry, H.P. Hughes: Phys. Rev. B 28, 5332 (1983)CrossRefGoogle Scholar
  116. 7.108
    I.T. McGovern, W. Eberhardt, E.W. Plummer, J.E. Fischer: Physica B 99B, 415 (1980)CrossRefGoogle Scholar
  117. 7.109
    P.M. Williams, D. Latham, J. Wood: J. Electron Spectrosc. Relat. Phenorn. 7, 281 (1975)CrossRefGoogle Scholar
  118. 7.110
    R.F. Willis, B. Feuerbacher, B. Fitton: Phys. Rev. B 4, 2441 (1971)CrossRefGoogle Scholar
  119. 7.111
    V. Dose, G. Reusing, H. Scheidt: Phys. Rev. B 26, 984 (1982)CrossRefGoogle Scholar
  120. 7.112
    Th. Fauster, F.J. Himpsel, J.J. Donelson, A. Marx: Rev. Sci. Instrurn. 54, 68 (1983)CrossRefGoogle Scholar
  121. 7.113
    R.F. Willis, B. Fitton, G.S. Painter: Phys. Rev. B 9, 1926 (1974)CrossRefGoogle Scholar
  122. 7.114
    L.S. Capisti, G. Chiarello, E. Colavita, A. Santaniello, L. Papagno: Surface Sci. 152/153, 278 (1985)Google Scholar
  123. 7.115
    Th. Fauster, F.J. Himpsel, J.E. Fischer, E.W. Plummer: Phys. Rev. Lett. 51, 470 (1983)CrossRefGoogle Scholar
  124. 7.116
    N.A.W. Holzwarth, S.G. Louie, S. Rabii: Phys. Rev. B 26, 5382 (1982)CrossRefGoogle Scholar
  125. 7.117
    M. Posternak, A. Baldereschi, A.J. Freeman, E. Wimmer, M. Weinert: Phys. Rev. Lett. 50, 761 (1983)CrossRefGoogle Scholar
  126. 7.118
    M. Posternak, A. Baldereschi, A.J. Freeman, E. Wimmer: Phys. Rev. Lett. 52, 863 (1984)CrossRefGoogle Scholar
  127. 7.119
    I. Schäfer, M. Schlitzer, M. Skibowski: Phys. Rev. B 35, 7663 (1987)CrossRefGoogle Scholar
  128. 7.120
    F. Maeda, T. Takahashi, H. Ohsawa, S. Suzuki: Phys. Rev. B 37, 4482 (1988) The complete occupied band structure of graphite has been measured by resonant soft x-ray fluorescence: J.A. Carlisle, E.L. Shirley, E.A. Hudson, L. J. Terminello, T.A. Callcott, J.J. Jia, D.L. Lederer, R.C.C. Perera, F.J. Himpsel: Phys. Rev. Lett. 74, 1234 (1995)Google Scholar
  129. 7.121
    C.T. Chen, N.V. Smith: Phys. Rev. B 40, 7487 (1989); and Surf. Sci. 247, 133 (1991)Google Scholar
  130. 7.122
    R. Courths, B. Cord, H. Wern, H. Saalfeld, S. Hüfner: Solid State Commun. 63, 619 (1987)CrossRefGoogle Scholar
  131. 7.123
    A. Spitzer, H. Lüth: Surf. Sci. 118, 121 (1982)CrossRefGoogle Scholar
  132. 7.124
    R.A. Didio, D.M. Zehner, E.W. Plummer: J. Vac. Sci. Techn. A 62, 852 (1984)CrossRefGoogle Scholar
  133. 7.125
    W. Jacob, V. Dose, A. Goldmann: Appl. Phys. A 41, 145 (1986)CrossRefGoogle Scholar
  134. 7.126
    R.P.N. Bronckers, A.G.J. De Wit: Surf. Sci. 112, 133 (1981)CrossRefGoogle Scholar
  135. 7.127
    J. Lapujoulade, Y. LeCruer, M. Lefort, Y. Lejay, E. Maurel: Surf. Sci. 118, 103 (1982)CrossRefGoogle Scholar
  136. 7.128
    V. Ponthier, C. Ramseyer, C. Girardet, P. Zeppenfeld, V. Dierks, R. Halmer: Phys. Rev. B 58, 998 (1998)Google Scholar
  137. 7.129
    R. Feidenhans, I. Stensgaard: Surf. Sci. 133, 453 (1983)CrossRefGoogle Scholar
  138. 7.130
    J.F. Wendelken: Surf. Sci. 108, 605 (1981)CrossRefGoogle Scholar
  139. 7.131
    U. Doebler, K. Baberschke, J. Haase, A. Puschmann: Phys. Rev. Lett. 52, 1437 (1984)CrossRefGoogle Scholar
  140. 7.132
    G. Ertl: Surf. Sci. 6, 208 (1967)CrossRefGoogle Scholar
  141. 7.133
    G. Ertl, J. Kueppers: Surf. Sci. 24, 104 (1971)CrossRefGoogle Scholar
  142. 7.134
    A.J. de Wit, R.P.N. Bronckers, J.M. Fluit: Surf. Sci. 82, 177 (1979)CrossRefGoogle Scholar
  143. 7.135
    J. Lapujoulade, Y. Le Cruer, M. Lefort, Y. Lejay, E. Maurel: Phys. Rev. B 22, 5740 (1980)CrossRefGoogle Scholar
  144. 7.136
    M. Bader, A. Puschmann, C. Ocal, J. Haase: Phys. Rev. Lett. 57, 3273 (1986)CrossRefGoogle Scholar
  145. 7.137
    U. Doebler, K. Baberschke, D.D. Vvedensky, J.B. Pendry: Surf. Sci. 178, 679 (1986)CrossRefGoogle Scholar
  146. 7.138
    P. Hofman, R. Unwin, W. Wyrobisch, A.M. Bradshaw: Surf. Sci. 72, 635 (1978)CrossRefGoogle Scholar
  147. 7.139
    H. Niehus, G. Comsa: Surf. Sci. 140, 18 (1984)CrossRefGoogle Scholar
  148. 7.140
    F.M. Chua, Y. Kuk, P.J. Silverman: Phys. Rev. Lett. 63, 386 (1989)CrossRefGoogle Scholar
  149. 7.141
    J.A. Stroscio, M. Persson, W. Ho: Phys. Rev. B 33, 6758 (1986)CrossRefGoogle Scholar
  150. 7.142
    D.T. Ling, J.N. Miller, D.L. Weissman, P. Pianetta, P.M. Stefan, I. Lindau, W.E. Spicer: Surf. Sci. 95, 89 (1980)CrossRefGoogle Scholar
  151. 7.143
    D.T. Ling, J.N. Miller, D.L. Weissman, P. Pianetta, L.I. Johansson, I. Lindau, W.E. Spicer: Surf. Sci. 92, 350 (1980)CrossRefGoogle Scholar
  152. 7.144
    D.J. Coulman, J. Wintterlin, R.J. Behm, G. Ertl: Phys. Rev. Lett. 64, 1761 (1990)CrossRefGoogle Scholar
  153. 7.145
    R. Ozawa, A. Yamane, K. Morikawa, M. Okwada, K. Suzuki, H. Fukutani: Surf. Sci. 346, 237 (1996)CrossRefGoogle Scholar
  154. 7.146
    R. Courths, S. Hüfner, P. Kemkes, G. Wiesen: Surf. Sci. 376, 43 (1997)CrossRefGoogle Scholar
  155. 7.147
    B. Weimert, N. Noffke, L. Fritsche: Surf. Sci. 264, 365 (1992)CrossRefGoogle Scholar
  156. 7.148
    V. Dose: Surf. Sci. Rep. 5, 337 (1986)CrossRefGoogle Scholar
  157. 7.149
    F. Bertel: Appl. Phys. A 53, 356 (1991)CrossRefGoogle Scholar
  158. 7.150
    H.J. Freund, M. Neumann: Appl. Phys. A 47, 3 (1988)CrossRefGoogle Scholar
  159. 7.151
    H. Kuhlenbeck, M. Neumann, H.J. Freund: Surf. Sci. 173, 194 (1986)CrossRefGoogle Scholar
  160. 7.152
    H. Kuhlenbeck, H.B. Saalfeld, U. Buskotte, M. Neumann, H.J. Freund, E.W. Plummer: Phys. Rev. B 39, 3475 (1989)CrossRefGoogle Scholar
  161. 7.153
    E.W. Plummer: Surf. Sci. 152/153, 162 (1985)Google Scholar
  162. 7.154
    T.-C. Chiang, J.A. Knapp, M. Aono, D.E. Eastman: Phys. Rev. B 21, 3513 (1980)CrossRefGoogle Scholar
  163. D. Straub, M. Skibowski, F.J. Hirnpsel: Phys. Rev. B 32, 5239 (1985)CrossRefGoogle Scholar
  164. For data on Si see L.S.O. Johansson, P.E.S. Persson, U.O. Karlsson, R.I.G. Uhrberg: Phys. Rev. B 42, 8991 (1990)Google Scholar
  165. Those for Ge are found in X.H. Chen, W. Ranke, E. Schröder-Bergen: Phys. Rev. B 42, 7429 (1990)Google Scholar
  166. 7.155
    H.J. Levinson, F. Greuter, E.W. Plummer: Phys. Rev. B 27, 727 (1983)CrossRefGoogle Scholar
  167. 7.156
    N.W. Ashcroft: Phil. Mag. 8, 2055 (1963)CrossRefGoogle Scholar
  168. 7.157
    J.R. Anderson, S.S. Lane: Phys. Rev. B 2, 298 (1970)CrossRefGoogle Scholar
  169. 7.158
    S.-K. Ma, K.W.-K. Shung: Phys. Rev. 49 10617 (1994). Calculating the angle-resolved PE spectra of A1(001), taking into account surface, many-body and band-structure effects. The conclusion is that the conventional one-electron picture works for simple metals, provided that these effects are treated properlyGoogle Scholar
  170. 7.159
    I.W. Lyo, E.W. Plummer: Phys. Rev. Lett. 60, 1558 (1988)CrossRefGoogle Scholar
  171. 7.160
    K.W.K. Shung, G.D. Mahan: Phys. Rev. B 38, 3856 (1988)CrossRefGoogle Scholar
  172. S.K. Ma, K.W.K. Shung: Phys. Rev. B 49, 10617 (1994)CrossRefGoogle Scholar
  173. 7.161
    F.J. Himpsel: Adv. Phys. 32, 1 (1983)CrossRefGoogle Scholar
  174. 7.162
    P. Aebi, T.J. Krantz, J. Osterwalder, R. Fosch, P. Schwaller, L. Schlapbach: Phys. Rev. Lett. 76, 1150 (1996)CrossRefGoogle Scholar
  175. 7.163
    C.S. Wang, B.M. Klein: Phys. Rev. B 24, 3393 (1982)CrossRefGoogle Scholar
  176. 7.164
    D. Straub, M. Skibowski, F.J. Himpsel: Phys. Rev. B 32, 5239 (1985)CrossRefGoogle Scholar
  177. 7.165
    S. Hüfner, G.K. Wertheim, J.H. Wernick: Phys. Rev. B 8, 4511 (1973)CrossRefGoogle Scholar
  178. 7.166
    S. Hüfner: In Photoemission in Solids II,ed. by L. Ley, M. Cardona, Topics Appl. Phys., Vol.27 (Springer, Berlin, Heidelberg 1979) Chap.3Google Scholar
  179. 7.167
    H. Höchst, S. Hüfner, A. Goldmann: Z. Physik B 26, 133 (1977)CrossRefGoogle Scholar
  180. 7.168
    P. Steiner, S. Hüfner, A.J. Freeman, D. Wang: Solid State Commun 44, 619 (1982)CrossRefGoogle Scholar
  181. 7.169
    L.F. Wagner, Z. Hussain, C.S. Fadley, R.J. Baird: Solid State Commun. 21, 453 (1977)CrossRefGoogle Scholar
  182. 7.170
    S. Hüfner, G.K. Wertheim, J.H. Wernick: Solid State Commun. 17, 1585 (1975)CrossRefGoogle Scholar
  183. 7.171
    J. Friedel: Can. J. Phys. 34, 1190 (1956)CrossRefGoogle Scholar
  184. 7.172
    J. Friedel: J. Phys. Radium 19, 573 (1958)CrossRefGoogle Scholar
  185. 7.173
    J. Friedel: Suppl. Nuovo Cimento VII, 287 (1958)Google Scholar
  186. 7.174
    P.W. Anderson: Phys. Rev. 124, 41 (1961)CrossRefGoogle Scholar
  187. 7.175
    H. Höchst, P. Steiner, S. Hüfner: J. Magn. Magn. Mater. 6, 159 (1977)CrossRefGoogle Scholar
  188. 7.176
    P. Steiner, H. Höchst, W. Steffen, S. Hüfner: Z. Physik B 38, 191 (1980)CrossRefGoogle Scholar
  189. 7.177
    P. Steiner, H. Höchst, S. Hüfner: J. Phys. F 7, L105 (1977)CrossRefGoogle Scholar
  190. 7.178
    H. Höchst, P. Steiner, S. Hüfner: Z. Phys. B 38, 201 (1980)CrossRefGoogle Scholar
  191. 7.179
    D.v.d. Marel, G.A. Sawatzky, F.U. Hillebrecht: Phys. Rev. Lett. 53, 206 (1984)CrossRefGoogle Scholar
  192. 7.180
    R.G. Jordan, W. Drube, D. Straub, F.J. Himpsel: Phys. Rev. B 33, 5280 (1986)CrossRefGoogle Scholar
  193. 7.181
    L. Waliden: Phil. Mag. 21, 571 (1970)CrossRefGoogle Scholar
  194. 7.182
    H.P. Meyers, L. Waliden, A. Karlson: Phil. Mag. 18, 725 (1968)CrossRefGoogle Scholar
  195. 7.183
    L. Ley, M. Cardona, R.A. Pollack: In Topics in Appl. Phys. 27, 11 (1979)Google Scholar
  196. 7.184
    A. Goldmann: Phys. Status Solidi (b) 81, 9 (1977)CrossRefGoogle Scholar
  197. 7.185
    N.J. Shevchik, J. Tejeda, M. Cardona: Phys. Rev. B 9, 2627 (1974)CrossRefGoogle Scholar
  198. 7.186
    L. Ley, R.A. Pollak, F.R. McFeely, S.P. Kowalczyk, D.A. Shirley: Phys. Rev. B 9, 600 (1974)CrossRefGoogle Scholar
  199. 7.187
    A.B. Pippard: Rep. Prog. Phys. 23, 176 (1960)CrossRefGoogle Scholar
  200. 7.188
    S.K. Shinha: Phys. Rev. 143, 422 (1966)CrossRefGoogle Scholar
  201. 7.189
    A. Marini, G. Onida, R. Del Sole: Phys. Rev. Lett. 88, 016403 (2002)Google Scholar
  202. 7.190
    O. Tjernberg, C. Dallera, M. Finazzi, L.H. Tjeng, M. Mansson, Th. Claesson, C. de Nada, F. Venturini, N.B. Brookes: private communication (2002)Google Scholar

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© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Stefan Hüfner
    • 1
  1. 1.Fakultät für Physik und Elektrotechnik, Fachrichtung 7.2 — ExperimentalphysikUniversität des SaarlandesSaarbrückenGermany

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