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Theory of Atom Scattering from Surface Phonon: The Role of Electron-Phonon Interaction

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Atomic Scale Dynamics at Surfaces

Part of the book series: Springer Series in Surface Sciences ((SSSUR,volume 63))

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Abstract

The forces that an He atom exerts on the atoms of a solid surface causing inelastic scattering have much in common with the interatomic forces that govern the dynamics of the lattice. The scattering theory, described in Chap. 7 based on two-body collisions, provides the correct interpretation of data for closed-shell surfaces, much as their lattice dynamics is well described by phenomenological interatomic potentials. The inelastic HAS experiments from metal surfaces, however, cannot be successfully described in the same way. In this Chapter the approaches developed for the lattice dynamics of metals, where the interatomic forces are mediated by free electrons, such as the Multipole Expansion (ME) and the Density Functional Perturbation Theory (DFPT) are introduced for the analysis of inelastic HAS intensities from metal surfaces. These theories have the important consequences that inelastic HAS intensities are directly proportional to the electron-phonon coupling strength for individual phonons and that HAS can detect deep sub-surface phonons. The propensity of HAS to excite certain phonons of conducting surfaces rather than others is found to depend on the electron-phonon interaction and the surface electron band structure.

The effect of a concept-driven revolution is to explain old things in new ways. The effect of a tool-driven revolution is to discover new things that have to be explained.

(Frank Watson Dyson, Astronomy, 2014)

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References

  1. X. Zhu, L. Santos, R. Sankar, S. Chikara, C. Howard, F.C. Chou, C. Charmon, M. El-Batanouny, Phys. Rev. Lett. 107, 186102 (2011)

    Article  ADS  Google Scholar 

  2. X.T. Zhu, L. Santos, C. Howard, R. Sankar, F.C. Chou, C. Chamon, M. El-Batanouny, Phys. Rev. Lett. 108, 185501 (2012)

    Article  ADS  Google Scholar 

  3. I. Yu. Sklyadneva, G. Benedek, E.V. Chulkov, P.M. Echenique, R. Heid, K.-P. Bohnen, J.P. Toennies, Phys. Rev. Lett. 107, 095502 (2011)

    Article  ADS  Google Scholar 

  4. G. Benedek, M. Bernasconi, K.-P. Bohnen, D. Campi, E.V. Chulkov, P.M. Echenique, R. Heid, IYu. Sklyadneva, J.P. Toennies, Phys. Chem. Chem. Phys. 16, 7159–7172 (2014)

    Article  Google Scholar 

  5. R. Smoluchowski, Phys. Rev. 60, 661 (1941)

    Article  ADS  Google Scholar 

  6. M.W. Finnis, V. Heine, J. Phys. F (Metal Phys.) 4, L37 (1974)

    Article  ADS  Google Scholar 

  7. N. Garcia, J.M. Soler, Surface Sci. 126, 689 (1983)

    Article  ADS  Google Scholar 

  8. P. Senet, J.P. Toennies, G. Benedek, Europhys. Lett. 57, 430 (2002)

    Article  ADS  Google Scholar 

  9. M. Petersen, S. Wilke, P. Ruggerone, B. Kohler, M. Scheffler, Phys. Rev. Lett. 76, 995 (1996)

    Article  ADS  Google Scholar 

  10. N. Esbjerg, J.K. Norskov, Phys. Rev. Lett. 45, 807 (1980)

    Article  ADS  Google Scholar 

  11. J. Harris, A. Liebsch, Phys. Rev. Lett. 49, 341 (1982)

    Article  ADS  Google Scholar 

  12. A. Liebsch, J. Harris, Surface Sci. 111, 2721 (1981)

    Article  Google Scholar 

  13. M.W. Cole, F. Toigo, Phys. Rev. B 31, 727 (1985)

    Article  ADS  Google Scholar 

  14. V. Celli, in Helium Atom Scattering from Surfaces, ed. by E. Hulpke, (Springer, Berlin, 1992), p. 25

    Google Scholar 

  15. N.D. Lang, Phys. Rev. Lett. 46, 842 (1981)

    Article  ADS  Google Scholar 

  16. E. Zaremba, W. Kohn, Phys. Rev. B 13, 2270 (1976)

    Article  ADS  Google Scholar 

  17. E. Zaremba, W. Kohn, Phys. Rev. B 15, 12769 (1977)

    Article  Google Scholar 

  18. G. Santoro, A. Franchini, V. Bortolani, Phys. Rev. Lett. 80, 2378 (1998)

    Article  ADS  Google Scholar 

  19. G. Santoro, A. Franchini, V. Bortolani, Nuovo Cim. D 20, 1055 (1998)

    Article  ADS  Google Scholar 

  20. G. Santoro, A. Franchini, V. Bortolani, D.L. Mills, R.F. Wallis, Surf. Sci. 478, 99 (2001)

    Article  ADS  Google Scholar 

  21. B. Gumhalter, Phys. Rep. 351, 1 (2001)

    Article  ADS  Google Scholar 

  22. C.S. Jayanthi, H. Bilz, W. Kress, G. Benedek, Phys. Rev. Lett. 59, 795 (1987)

    Article  ADS  Google Scholar 

  23. C. Kaden, P. Ruggerone, J.P. Toennies, G. Zhang, G. Benedek, Phys. Rev. B 46, 13509 (1992)

    Article  ADS  Google Scholar 

  24. C. Kaden, P. Ruggerone, J.P. Toennies, G. Benedek, Nuovo Cim. 14D, 627 (1992)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  26. N. Jean, M.I. Trioni, G.P. Brivio, V. Bortolani, Phys. Rev. Lett. 92, 013201 (2004)

    Article  ADS  Google Scholar 

  27. V. Bortolani, D. Cvetko, F. Floreano, A. Franchini, A. Lansi, A. Morgante, M. Peloi, G. Santoro, F. Tommasini, T. Zambelli, A.F. Bellman, J. Elect. Spectr. Rel. 64(65), 671 (1993)

    Article  Google Scholar 

  28. L. Miglio, F. Quasso, G. Benedek, Surf. Sci. 136, L9 (1984)

    Article  ADS  Google Scholar 

  29. L. Miglio, F. Quasso, G. Benedek, J. Chem. Phys. 83, 913 (1985)

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  31. U. Harten, J.P. Toennies, Ch. Wöll, Faraday Disc. Chem. Soc. 80, 137 (1985)

    Article  Google Scholar 

  32. C. Kaden, P. Ruggerone, J.P. Toennies, G. Zhang, G. Benedek, Nuovo Cim. D 14, 627 (1992)

    Article  ADS  Google Scholar 

  33. V. Chis, B. Hellsing, G. Benedek, M. Bernasconi, E.V. Chulkov, J.P. Toennies, Phys. Rev. Lett. 101, 206102 (2008)

    Article  ADS  Google Scholar 

  34. V. Chis, B. Hellsing, G. Benedek, M. Bernasconi, E.V. Chulkov, J.P. Toennies, Phys. Rev. Lett. 103, 069902 (2009)

    Article  ADS  Google Scholar 

  35. G. Benedek, M. Bernasconi, V. Chis, E. Chulkov, P.M. Echenique, B. Hellsing, J. Peter, Toennies. J. Phys.: Cond. Matter 22, 084020 (2010)

    ADS  Google Scholar 

  36. G. Grimwall, The Electron–Phonon Interaction in Metals (North-Holland, New York, 1981), Chap. 3

    Google Scholar 

  37. IYu. Sklyadneva, A. Leonardo, P.M. Echenique, S.V. Eremeev, E.V. Chulkov, J. Phys.: Condens. Matter 18, 7923 (2006)

    ADS  Google Scholar 

  38. W.L. McMillan, Phys. Rev. 167, 331 (1968)

    Article  ADS  Google Scholar 

  39. P.B. Allen, M.L. Cohen, Phys. Rev. 187, 525 (1969)

    Article  ADS  Google Scholar 

  40. J. Bardeen, Nobel Lecture, December 11, 1972, in ed. by S. Lundqvist, Nobel Lectures. Physics 1971–1980 (World Sci. Publ. Co., Singapore, 1992), p. 54

    Google Scholar 

  41. P.B. Allen, Phys. Rev. B 36, 2920 (1987)

    Article  ADS  Google Scholar 

  42. P.B. Allen, in Handbook of Superconductivity, ed. by C.P. Poole, Jr. (Academic Press, New York, 1999) Chap. 9, Sec. G, pp. 478–483

    Google Scholar 

  43. A. Tamtögl, P. Kraus, M. Mayrhofer-Reinhartshuber, D. Campi, M. Bernasconi, G. Benedek, W.E. Ernst, Phys. Rev. B 87,035410 (2013) and 87, 159906 (2013) (E)

    Google Scholar 

  44. B. Weitzel, H. Micklitz, Phys. Rev. Lett. 66, 385 (1991)

    Article  ADS  Google Scholar 

  45. F. Muntyanu, A. Gilewski, K. Nenkov, A. Zaleski, V. Chistol, Solid State Commun. 147, 183 (2008)

    Article  ADS  Google Scholar 

  46. J.R. Manson, G. Benedek, Salvador Miret-Artès, J. Phys. Chem. Lett. 7, 1016 (2016)

    Article  Google Scholar 

  47. G. Benedek, S. Miret-Artès, J.P. Toennies, J.R. Manson, J. Phys. Chem. Lett. 9, 76 (2018)

    Google Scholar 

  48. J.R. Manson, G. Benedek, S. Miret-Artès, Surface Sci. Rep. (2017)

    Google Scholar 

  49. M. Mayrhofer-Reinhartshuber, A. Tamtögl, P. Kraus, K.H. Rieder, W.E. Ernst, J. Phys. Cond. Matt. 24, 104008 (2012)

    Article  ADS  Google Scholar 

  50. A. Tamtögl, M. Mayrhofer-Reinhartshuber, P. Kraus, W.E. Ernst, Surf. Sci. 617, 225 (2013)

    Article  ADS  Google Scholar 

  51. W.R. Datars, J. Van der Koy, IBM J. Res. Dev. 8, 247 (1964)

    Article  Google Scholar 

  52. R. Herrmann, V.S. Edelman, Zh. Eksp. Tear. Fiz. 53, 1563 (1967); Engl. Transl.: Sov. Phys. JETP, 26, 901 (1968)

    Google Scholar 

  53. X. Shen, Y.P. Timalsina, T.-M. Lu, M. Yamaguchi, Phys. Rev. B 91, 045129 (2015)

    Article  ADS  Google Scholar 

  54. P. Straube, F. Pforte, T. Michalke, K. Berge, A. Gerlach, A. Goldmann, Phys. Rev. B 61, 14072 (2000)

    Article  ADS  Google Scholar 

  55. E.W. Plummer, J. Shi, S.-J. Tang, E. Rotenberg, S.D. Kevan, Prog. Surf. Sci. 74, 251–268 (2003)

    Article  ADS  Google Scholar 

  56. S.S. Tsirkin, S.V. Eremeev, E.V. Chulkov, Phys. Rev. B 84, 115451 (2011)

    Article  ADS  Google Scholar 

  57. K.E. Smith, G.S. Elliott, S.D. Kevan, Phys. Rev. B 42, 5385 (1990)

    Article  ADS  Google Scholar 

  58. W. Li, J.C. Fenton, Y. Wang, D.W. McComb, P.A. Warburton, J. Appl. Phys. 104, 093913 (2008)

    Article  ADS  Google Scholar 

  59. J. Lapujoulade, J. Perreau, A. Kara, Surf. Sci. 129, 59–78 (1983)

    Article  ADS  Google Scholar 

  60. G. Zhang, Ph.D. Dissertation, University of Göttingen, 1990; Max-Planck-Institut für Strömungsforschung Report No. 102 (1991)

    Google Scholar 

  61. H.-J. Ernst, E. Hulpke, J.P. Toennies, Phys. Rev. B 46, 16081 (1992)

    Article  ADS  Google Scholar 

  62. Ch. Bronner, P. Tegeder, Phys. Rev. B 87, 035123 (2013)

    Article  ADS  Google Scholar 

  63. P.O. Gartland, S. Berge, B.J. Slagsvold, Phys. Rev. Lett. 28, 738 (1972)

    Article  ADS  Google Scholar 

  64. H.B. Michaelson, J. Appl. Phys. 48, 4729 (1977)

    Article  ADS  Google Scholar 

  65. J. Speight, in Lange’s Handbook of Chemistry, 16th ed, vol. 1 (McGraw Hill, Boston, 2004), p. 132

    Google Scholar 

  66. E. Wimmer, A.J. Freeman, M. Weinert, H. Krakauer, J.R. Hiskes, A.M. Karo, Phys. Rev. Lett. 48, 1128 (1982)

    Article  ADS  Google Scholar 

  67. Y. Ohtsubo, L. Perfetti, M.O. Goerbig, P. Le Fèvre, F. Bertran, A. Taleb-Ibrahimi, New J. Phys. 15, 033041 (2013)

    Article  ADS  Google Scholar 

  68. B.J. Hinch, C. Koziol, J.P. Toennies, G. Zhang, Europhys. Lett. 10, 341 (1989)

    Article  ADS  Google Scholar 

  69. K. Sugawara, T. Sato, S. Souma, T. Takahashi, M. Arai, T. Sasaki, J. Magn. Magn. Mat. 310, 2177 (2007)

    Article  ADS  Google Scholar 

  70. P. Hofmann, Prog. Surf. Sci. 81, 191 (2006)

    Article  ADS  Google Scholar 

  71. D. Campi, M. Bernasconi, G. Benedek, Phys. Rev. B 86, 075446 (2012)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  73. J. Kröger, Rep. Prog. Phys. 69, 899–969 (2006)

    Google Scholar 

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Authors and Affiliations

  1. Università di Milano-Bicocca, Milan, Italy

    Prof. Giorgio Benedek

  2. Max Planck Institute for Dynamics and Self-Organization, Göttingen, Germany

    Prof. Dr. Jan Peter Toennies

  3. Donostia International Physics Center, Donostia/San Sebastian, Spain

    Prof. Giorgio Benedek

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  1. Prof. Giorgio Benedek
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  2. Prof. Dr. Jan Peter Toennies
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Correspondence to Giorgio Benedek .

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Benedek, G., Toennies, J.P. (2018). Theory of Atom Scattering from Surface Phonon: The Role of Electron-Phonon Interaction. In: Atomic Scale Dynamics at Surfaces. Springer Series in Surface Sciences, vol 63. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-56443-1_8

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  • DOI: https://doi.org/10.1007/978-3-662-56443-1_8

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