Skip to main content
SpringerLink
Log in

Role of the electronic degrees of freedom in surface lattice dynamics: a phenomenological model study

  • Published:
La Rivista del Nuovo Cimento (1978-1999) Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Lord Rayleigh,Proc. London. Math. Soc,17 (1887) 4.

    Google Scholar 

  2. Knauer F. andStern O.,Z. Phys.,53 (1929) 779;Stern O.,Naturwiss.,17 (1929) 391.

    ADS  Google Scholar 

  3. Estermann I. andStern O.,Z. Phys.,61 (1930) 95.

    ADS  Google Scholar 

  4. Lubinsky A. R., Duke C. B., Lee B. W. andMark P.,Phys. Rev. Lett.,36 (1976) 1058.

    ADS  Google Scholar 

  5. Tong S. Y., Lubinsky A. R., Mrstik B. J. andVan Hove M. A.,Phys. Rev. B.,17 (1978) 3303.

    ADS  Google Scholar 

  6. Chadi D. J.,Phys. Rev. B.,19 (1979) 2074.

    ADS  Google Scholar 

  7. Chelikowsky J. R. andCohen M. L.,Phys. Rev. B.,20 (1979) 4150.

    ADS  Google Scholar 

  8. Meyer R. J., Duke C. B., Paton A., Kahn A., So E., Yeh J. L. andMark P.,Phys. Rev. B.,19 (1979) 5194.

    ADS  Google Scholar 

  9. Duke C. B., Richardson S. L., Paton A. andKahn A.,Surf. Sci,127 (1983) L135.

    ADS  Google Scholar 

  10. Gossmann H.-J. andGibson W. M.,Surf. Sci,139 (1984) 239.

    ADS  Google Scholar 

  11. Tong S. Y., Mei W. N. andXu G.,J. Vac. Sci. Technol. B,2 (3) (1984) 393.

    Google Scholar 

  12. Duke C. B. andPaton A.,J. Vac. Sci. Technol. B,2 (3) (1984) 327.

    Google Scholar 

  13. Mailhiot C., Duke C. B. andChadi D. J.,Surf. Sci.,149 (1985) 366.

    ADS  Google Scholar 

  14. Smit L., Derry T. E. andVan Der Veen J. F.,Surf. Sci.,150 (1985) 245.

    ADS  Google Scholar 

  15. Puga M. W., Xu G. andTong S. Y.,Surf. Sci.,164 (1985) L789.

    ADS  Google Scholar 

  16. Duke C. B. andPaton A.,Surf. Sci.,164 (1985) L797.

    ADS  Google Scholar 

  17. Feenstra R. M., Stroscio J. A., Tersoff J. andFein A. P.,Phys. Rev. Lett.,58 (1987) 1192.

    ADS  Google Scholar 

  18. Qian G.-X., Martin R. M. andChadi D. J.,Phys. Rev. B,37 (1988) 1303.

    ADS  Google Scholar 

  19. Ferraz A. C. andSrivastava G. P.,Surf. Sci.,182 (1987) 161.

    ADS  Google Scholar 

  20. Huijser A., Van Laar J. andVan Rooy T. L.,Phys. Lett. A,65 (1978) 337.

    ADS  Google Scholar 

  21. Van Laar J. andScheer J. J.,Surf. Sci.,8 (1967) 342;Scheer J. J. andVan Laar J.,Surf. Sci.,18 (1969) 13.

    ADS  Google Scholar 

  22. Spicer W. E., Lindau I., Gregory P. E., Garner C. M., Pianetta P. andChye P. W.,J. Vac. Sci. Technol.,13 (1976) 780.

    ADS  Google Scholar 

  23. Gudat W., Eastman D. E. andFreeouf J. L.,J. Vac. Sci. Technol.,13 (1976) 250.

    ADS  Google Scholar 

  24. Tersoff J. andHamann D. R.,Phys. Rev. B,31 (1985) 805.

    ADS  Google Scholar 

  25. Bringans R. D., Uhrberg R. I. G., Bachrach R. Z. andNorthrup J. E.,Phys. Rev. Lett.,55 (1985) 533.

    ADS  Google Scholar 

  26. Copel M., Tromp R. M. andKöhler U. K.,Phys. Rev. B,37 (1988) 10756.

    ADS  Google Scholar 

  27. Olmstead M. A., Bringans R. D., Uhrberg R. I. G. andBachrach R. Z.,Phys. Rev. B,34 (1986) 6041;Uhrberg R. I. G., Bringans R. D., Olmstead M. A., Bachrach R. Z. andNorthrup J. E.,Phys. Rev. B,35 (1987) 3945.

    ADS  Google Scholar 

  28. Hybertsen M. S. andLouie S. G.,Phys. Rev. B,38 (1988) 4033.

    ADS  Google Scholar 

  29. Patterson C. H. andMessmer R. P.,Phys. Rev. B,39 (1989) 1372.

    ADS  Google Scholar 

  30. Patel J. R., Golovchenko J. A., Freeland P. E. andGrossmann H.-J.,Phys. Rev. B,36 (1987) 7715.

    ADS  Google Scholar 

  31. Headrick R. L. andGraham W. R.,Phys. Rev. B,37 (1988) 1051.

    ADS  Google Scholar 

  32. Zhang G.,Max Planck Bericht, No.102 (1991).

  33. Reichmuth A., thesis, University of Göttingen (1991).

  34. Davis H. L. andNoonan J. R.,Surf. Sci.,126 (1983) 245.

    ADS  Google Scholar 

  35. Lind D. M., Dunning F. B., Walters G. K. andDavis H. L.,Phys. Rev. B,35 (1987) 9037.

    ADS  Google Scholar 

  36. Lindgren S. Å., Wallden L., Rundgren J. andWestrin P.,Phys. Rev. B,29 (1984) 576.

    ADS  Google Scholar 

  37. Jiang Q. T., Fenter P. andGustafsson T.,Phys. Rev. B,44 (1991) 5773.

    ADS  Google Scholar 

  38. Davis H. L. andNoonan J. R.,J. Vac. Sci. Technol.,20 (1982) 842.

    ADS  Google Scholar 

  39. Bohnen K. P., private communication.

  40. Nelson J. S., Sowa E. C. andDaw M. S.,Phys. Rev. Lett,61 (1988) 1977.

    ADS  Google Scholar 

  41. Tear S. P., Röll K. andPrutton M.,J. Phys. C,14 (1981) 3297.

    ADS  Google Scholar 

  42. Euceda A., Bylander D. M. andKleinman L.,Phys. Rev. B,28 (1983) 528.

    ADS  Google Scholar 

  43. Euceda A., Bylander D. M., Kleinman L. andMednick K.,Phys. Rev. B,27 (1983) 659.

    ADS  Google Scholar 

  44. Kevan S. D.,Phys. Rev. Lett.,50 (1983) 526.

    ADS  Google Scholar 

  45. Heimann P., Hermanson J., Miosga H. andNeddermeyee H.,Phys. Rev. Lett.,42 (1979) 1782;Phys. Rev. B,20 (1979) 3059.

    ADS  Google Scholar 

  46. Gay J. G., Smith J. R. andArlinghaus F. J.,Phys. Rev. Lett.,42 (1979) 332;Smith J. R., Gay J. G. andArlinghaus F. J.,Phys. Rev. B,21 (1980) 2201.

    ADS  Google Scholar 

  47. Kleinman L.,Phys. Rev. B,26 (1982) 1055.

    ADS  Google Scholar 

  48. Kleinman L., private communication.

  49. Doak R. B.,Max Planck Bericht, No.14 (1981).

  50. Toennies J. P.,J. Vac. Sci. Technol. A,5 (1987) 440.

    ADS  Google Scholar 

  51. Toennies J. P., inProceedings of the Solvay Conference on Surface Science, edited byF. W. De Wette (Springer-Verlag, Heidelberg) 1988, p. 248.

    Google Scholar 

  52. Toennies J. P., inSpringer Series of Surface Sciences, edited byW. Kress andF. W. De Wette, Vol.21 (Springer-Verlag, Berlin) 1991, p. 111.

    Google Scholar 

  53. Ibach H.,J. Vac. Sci. Technol. A,5 (1987) 419.

    ADS  Google Scholar 

  54. Ibach H. andMills D. L.,Electron Energy Loss Spectroscopy and Surface Vibrations (Academic Press, New York, N.Y.) 1982.

    Google Scholar 

  55. Harten U. andToennies J. P.,Europhys. Lett,4 (1987) 833.

    ADS  Google Scholar 

  56. Santini P., Miglio L., Benedek G., Harten U., Ruggerone P. andToennies J. P.,Phys. Rev. B,42 (1990) 11942.

    ADS  Google Scholar 

  57. Doak R. B. andNguyen D. B.,J. Electron Spectrosc,44 (1987) 205.

    Google Scholar 

  58. Harten U., Toennies J. P. andWöll Ch.,Phys. Rev. Lett.,57 (1986) 2947.

    ADS  Google Scholar 

  59. Weber W.,Phys. Rev. Lett.,33 (1974) 371;Phys. Rev. B,15 (1977) 4789.

    ADS  Google Scholar 

  60. Alldredge G. P., Allen R. E. andde Wette F. W.,Phys. Rev. B,4 (1971) 1661.

    ADS  Google Scholar 

  61. Doak R. B. andNguyen D. B.,Phys. Rev. B,41 (1990) 3578.

    ADS  Google Scholar 

  62. Santini P., Ruggerone P., Miglio L. andDoak R. B.,Phys. Rev. B,46 (1992) 9853.

    ADS  Google Scholar 

  63. Doak R. B., Harten U. andToennies J. P.,Phys. Rev. Lett.,51 (1983) 578.

    ADS  Google Scholar 

  64. Harten U., Toennies J. P. andWöll Ch.,Faraday Discuss. Chem. Soc.,80 (1985) 137.

    Google Scholar 

  65. Kaden C, Ruggerone P., Toennies J. P., Zhang G. andBenedek G.,Phys. Rev. B,46 (1992) 13509;Kaden C., Ruggerone P., Toennies J. P. andBenedek G.,Nuovo Cimento D,14 (1992) 627.

    ADS  Google Scholar 

  66. Mohamed M. H., Kesmodel L. L., Hall B. M. andMills D. L.,Phys. Rev. B,37 (1988) 2763.

    ADS  Google Scholar 

  67. Hall B. M., Mills D. L., Mohamed M. H. andKesmodel L. L.,Phys. Rev. B,38 (1988) 5856.

    ADS  Google Scholar 

  68. Armand G.,Solid State Commun.,48 (1983) 261.

    ADS  Google Scholar 

  69. Mason B. F. andWilliams B. R.,Phys. Rev. Lett.,46 (1981) 1138.

    ADS  Google Scholar 

  70. Wuttig M., Franchy R. andIbach H.,Solid State Commun.,57 (1986) 445.

    ADS  Google Scholar 

  71. Wuttig M., Franchy R. andIbach H.,Z. Phys. B,65 (1986) 71.

    ADS  Google Scholar 

  72. Kesmodel L. L., Xu M. L. andTong S. Y.,Phys. Rev. B,34 (1986) 2010.

    ADS  Google Scholar 

  73. Chen Y., Tong S. Y., Kim J., Kesmodel L. L., Rodach T., Bohnen K. P. andHo K. M.,Phys. Rev. B,44 (1991) 11394.

    ADS  Google Scholar 

  74. Ellis J., McCash E. M. andAllison W.,J. Electron Spectrosc.,54/55 (1990) 325.

    Google Scholar 

  75. Ellis J., Luo N. S., Reichmuth A., Ruggerone P., Toennies J. P. andBenedek G.,Phys. Rev. B,48 (1993) 4917.

    ADS  Google Scholar 

  76. Wang Y. R. andDuke C. B.,Surf. Sci.,205 (1988) L755.

    ADS  Google Scholar 

  77. Duke C. B. andWang Y. R.,J. Vac. Sci. Technol. B,7 (1989) 1027.

    Google Scholar 

  78. Wang Y. R. andDuke C. B.,Phys. Rev. B,36 (1987) 2763.

    ADS  Google Scholar 

  79. Morse D. C. andMele E. J.,Phys. Rev. B,40 (1989) 3465.

    ADS  Google Scholar 

  80. Vanderbilt D.,Phys. Rev. B,41 (1990) 7892.

    ADS  Google Scholar 

  81. Laasonen K. L., Car R., Lee C. andVanderbilt D.,Phys. Rev. B,43 (1990) 6796.

    ADS  Google Scholar 

  82. Gaspar J. A. andEguiluz A. G.,Phys. Rev.,40 (1989) 11976;Gaspar J. A., Eguiluz A. G., Gester M., Lock A. andToennies J. P.,Phys. Rev. Lett.,66 (1991) 337.

    Google Scholar 

  83. Ho K. M. andBohnen K. P.,Phys. Rev. Lett.,56 (1986) 934.

    ADS  Google Scholar 

  84. Ho K. M. andBohnen K. P.,J. Electron Spectrosc.,54/55 (1990) 229.

    Google Scholar 

  85. Bortolani V., Santoro G., Harten U. andToennies J. P.,Surf. Sci.,148 (1984) 82.

    ADS  Google Scholar 

  86. Bortolani V., Franchini A., Santoro G. andNizzoli F.,Phys. Rev. Lett.,52 (1984) 429.

    ADS  Google Scholar 

  87. Bortolani V., Franchini A. andSantoro G., inElectronic Structure, Dynamics and Quantum Structural Properties of Condensed Matter, edited byJ. T. Devreese andP. Van Camp (Plenum Press, New York, N.Y.) 1985, p. 401;Bortolani V., Franchini A. andSantoro G., unpublished.

    Google Scholar 

  88. Leigh R. S., Szigeti B. andTewary V. K.,Proc. R. Soc. London, Ser. A,320 (1971) 505.

    ADS  Google Scholar 

  89. Nicklow R. M., Gilat G., Smith H. G., Raubenheimer L. J. andWilkinson M. K.,Phys. Rev.,164 (1967) 922.

    ADS  Google Scholar 

  90. Beck D. E., Celli V., Lo Vecchio G. andMagnaterra A.,Nuovo Cimento B,68 (1970) 230.

    ADS  Google Scholar 

  91. Jayanthi C. S., Bilz H., Kress W. andBenedek G.,Phys. Rev. Lett.,59 (1991) 795.

    ADS  Google Scholar 

  92. Toennies J. P.,Superlatt. Microstruct.,7 (1990) 193.

    ADS  Google Scholar 

  93. Himes D. andCelli V., private communication.

  94. Ditlevsen P. D. andNørskov J. K.,J. Electron Spectrosc.,54/55 (1990) 237.

    Google Scholar 

  95. Nelson J. S., Sowa E. C. andDaw M. S.,Phys. Rev. Lett.,61 (1988) 1977.

    ADS  Google Scholar 

  96. Ningsheng L., Wenlan X. andShen S. C.,Solid State Commun.,67 (1988) 837.

    ADS  Google Scholar 

  97. Cochran W.,Proc. R. Soc. London, Ser. A,253 (1959) 260.

    ADS  Google Scholar 

  98. Sinha S. K.,CRC Crit. Rev. Solid State Sci.,4 (1973) 273.

    Google Scholar 

  99. Phillips J. C.,Phys. Rev.,166 (1968) 832.

    ADS  Google Scholar 

  100. Martin R. M.,Phys. Rev.,186 (1969) 871.

    ADS  Google Scholar 

  101. Dolling G., inInelastic Scattering of Neutrons in Solids and Liquids, Vol. II (International Atomic Energy Agency, Vienna) 1963, p. 37.

    Google Scholar 

  102. Keating P. N.,Phys. Rev.,145 (1966) 637.

    ADS  Google Scholar 

  103. Tubino R., Piseri L. andZerbi G.,J. Chem. Phys.,56 (1972) 1022.

    ADS  Google Scholar 

  104. Nilsson G. andNelin G.,Phys. Rev. B,6 (1972) 3777.

    ADS  Google Scholar 

  105. Fleszar A. andResta R.,Phys. Rev. B,34 (1986) 7140.

    ADS  Google Scholar 

  106. Yin M. T. andCohen M. L.,Phys. Rev. B,25 (1982) 4317.

    ADS  Google Scholar 

  107. Rustagi K. C. andWeber W.,Solid State Commun.,18 (1976) 673.

    ADS  Google Scholar 

  108. Dolling G. andWaugh J. L. T., inLattice Dynamics, edited byR. F. Wallis (Pergamon, London) 1965, p. 19.

    Google Scholar 

  109. Colombo L. andMiglio L.,Phys. Scr.,40 (1989) 238.

    ADS  Google Scholar 

  110. Kunc K. andDacosta P. G.,Phys. Rev. B,25 (1982) 4317.

    Google Scholar 

  111. Colombo L., private communication.

  112. Pavone P., Baroni S., De Gironcoli S. andGiannozzi P.,Phys. Rev. B,43 (1991) 7231.

    ADS  Google Scholar 

  113. Hanke W. andBilz H.,Z. Naturforsch. A,26 (1971) 585.

    ADS  Google Scholar 

  114. Wakayabashi H.,Solid State Commun.,23 (1977) 737.

    ADS  Google Scholar 

  115. Allen P. B.,Phys. Rev. B,16 (1977) 5139.

    ADS  Google Scholar 

  116. Li M. andGoddard III W. A.,Phys. Rev. B,40 (1989) 12155.

    ADS  Google Scholar 

  117. Parr R. G. andYang W.,Density Functional Theory of Atoms and Molecules (Oxford University Press, New York, N.Y.) 1989.

    Google Scholar 

  118. Tinkham M.,Group Theory and Quantum Mechanics (McGraw Hill, New York, N.Y.) 1964.

    MATH  Google Scholar 

  119. Maradudin A. A., Montroll E. W., Weiss G. H. andIpatova I. P.,Theory of Lattice Dynamics in the Harmonic Approximation, Solid State Physics, Suppl. 3 (Academic Press, New York, London) 1971.

    Google Scholar 

  120. Ashcroft N. A. andMermin N. D.,Solid State Physics (Saunders, Philadelphia) 1976, p. 447.

    Google Scholar 

  121. Allen R. E., Alldredge G. P. andDe Wette F. W.,Phys. Rev. B,4 (1971) 1648.

    ADS  Google Scholar 

  122. Allen R. E., Alldredge G. P. andDe Wette F. W.,Phys. Rev. B,4 (1971) 1682.

    ADS  Google Scholar 

  123. Miglio L., Santini P., Ruggerone P. andBenedek G.,Phys. Rev. Lett,62 (1989) 3070.

    ADS  Google Scholar 

  124. Wickbooldt P., Anastassakis E., Sauer R. andCardona M.,Phys. Rev. B,35 (1987) 1362.

    ADS  Google Scholar 

  125. Anastassakis E., Cantarero A. andCardona M.,Phys. Rev. B,41 (1990) 7529.

    ADS  Google Scholar 

  126. Strauch D. andDorner B.,J. Phys. C,19 (1986) 2853.

    ADS  Google Scholar 

  127. Santini P., Miglio L., Benedek G. andRuggerone P.,Surf. Sci.,241 (1991) 346.

    ADS  Google Scholar 

  128. Del Pennino U., Betti M. G. andMariani C.,Surf. Sci.,211/212 (1989) 557.

    ADS  Google Scholar 

  129. Pickett W. E., Louie S. G. andCohen M. L.,Phys. Rev. Lett.,39 (1977) 109.

    ADS  Google Scholar 

  130. Harten U., Toennies J. P., Wöll Ch., Miglio L., Ruggerone P., Colombo L. andBenedek G.,Phys. Rev. B,38 (1988) 3305.

    ADS  Google Scholar 

  131. Doak R. B., Chabal Y. J., Higashi G. S. andDumas P.,J. Electron Spectrosc. Relat. Phenom.,54/55 (1990) 291;Doak R. B., Chabal Y. J., Dumas P., Santini P., Ruggerone P. andMiglio L., unpublished.

    Google Scholar 

  132. Doak R. B., inAtomic and Molecular Beams, Vol. II, edited byG. Scoles (Oxford University Press, New York, N.Y.) 1991, p. 45.

    Google Scholar 

  133. Farnell G. W., inPhysical Acoustics, edited byW. P. Mason andR. N. Thurston, Vol. VI (Academic Press, New York, N.Y.) 1970, pp. 109–166.

    Google Scholar 

  134. Franchini A., Dissertation University of Modena, 1985/1986.

  135. Esbjerg N. andNørskov J. K.,Phys. Rev. Lett.,45 (1980) 807.

    ADS  Google Scholar 

  136. Harten U., Lahee A. M., Toennies J. P. andWöll Ch.,Phys. Rev. Lett,54 (1985) 2619.

    ADS  Google Scholar 

  137. Bortolani V. andLevi A. C.,Riv. Nuovo Cimento, No.9 (1986).

  138. Manson J. R.,Phys. Rev. B,43 (1991) 6924.

    ADS  Google Scholar 

  139. Luo N. S., Ruggerone P., Toennies J. P. andBenedek G., inInelastic Energy Transfer in Spectroscopy of Surfaces and Adsorbates, edited byV. Bortolani, B. Gumhalter andA. C. Levi (World Scientific, Singapore) 1994, p. 67.

    Google Scholar 

  140. Krauss M. andMies F. M.,J. Chem. Phys.,42 (1965) 2703.

    ADS  Google Scholar 

  141. Celli V., private communication.

Download references

Author information

Authors and Affiliations

  1. Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4-6, 14195, Berlin-Dahlem, Germany

    P. Ruggerone

  2. Max-Planck-Institut für Strömungsforschung, Bunsenstrasse 10, 37073, Göttingen, Germany

    P. Ruggerone

Authors
  1. P. Ruggerone
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ruggerone, P. Role of the electronic degrees of freedom in surface lattice dynamics: a phenomenological model study. Riv. Nuovo Cim. 18, 1–118 (1995). https://doi.org/10.1007/BF02742983

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02742983

Search

Navigation