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Image states on beryllium surfaces with low indices

  • Metals. Superconductors
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Abstract

Using the self-consistent pseudopotential method, we have calculated the binding energy of the image states for the (0001) \((10\bar 10)\), and \((11\bar 20)\) surfaces of beryllium. It is shown for the (0001) face that there exists a pronounced resonance image state with n=1 and energy −0.95 eV at the point \(\bar \Gamma \) of the surface Brillouin zone. In the \((10\bar 10)\) surface, which has a wide band gap in the vicinity of the vacuum level, the calculated image state with n=1 at the point \(\bar \Gamma \) has energy −1.2 eV and is a surface state of gap type. For the \((11\bar 20)\) face in the vicinity of the point \(\bar \Gamma \) band gaps are absent. However, the symmetry of the bulk states near the vacuum level enables the existence of a resonance image state with n=1 and energy −0.6 eV.

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References

  1. M. Cole and M. H. Cohen, Phys. Rev. Lett. 23, 1238 (1969).

    Article  ADS  Google Scholar 

  2. V. B. Shikin, Zh. Éksp. Teor. Fiz. 31, 936 (1970) [Sov. Phys. JETP 58, 1748 (1970)].

    Google Scholar 

  3. P. M. Echenique and J. B. Pendry, J. Phys. C 11, 2065 (1978).

    Article  ADS  Google Scholar 

  4. P. M. Echenique and J. B. Pendry, Prog. Surf. Sci. 32, 11 (1990).

    Google Scholar 

  5. U. Höfer, I. L. Shumay, Ch. Reuss, U. Thomann, W. Wallauer, and Th. Fauster, Science 277, 1480 (1997).

    Google Scholar 

  6. F. J. Himpsel, Comments Condens. Matter Phys. 12, 199 (1986).

    Google Scholar 

  7. N. V. Smith, Rep. Prog. Phys. 51, 1227 (1988).

    Article  ADS  Google Scholar 

  8. F. J. Himpsel and J. E. Ortega, Phys. Rev. B 46, 9719 (1992).

    Article  ADS  Google Scholar 

  9. T. Fauster and W. Steinmann, in Electromagnetic Waves: Recent Developments in Research, edited by P. Halevi (Elsevier, Amsterdam, 1995), Vol. 2, p. 350.

    Google Scholar 

  10. K. Giesen, F. Hage, F. J. Himpsel, H. J. Riess, and W. Steinmann, Phys. Rev. B 35, 971 (1987).

    ADS  Google Scholar 

  11. M. Wolf, E. Knoesel, and T. Hertel, Phys. Rev. B 54, R5295 (1996).

    Article  ADS  Google Scholar 

  12. S. Yang, R. A. Bartynski, G. P. Kochanski, S. Papadia, T. Fondén, and M. Persson, Phys. Rev. Lett. 70, 849 (1993).

    ADS  Google Scholar 

  13. E. G. McRae, Rev. Mod. Phys. 51, 541 (1979).

    Article  ADS  Google Scholar 

  14. M. Ortuno and P. M. Echenique, Phys. Rev. B 34, 5199 (1986).

    ADS  Google Scholar 

  15. P. M. Echenique and M. E. Uranga, Surf. Sci. 247, 125 (1991).

    Article  Google Scholar 

  16. D. Heskett, K.-H. Frank, E. E. Koch, and H.-J. Freund, Phys. Rev. B 36, 1276 (1987).

    Article  ADS  Google Scholar 

  17. D. Heskett, K.-H. Frank, K. Horn, E. E. Koch, H.-J. Freund, A. Baddorf, K.-D. Tsuei, and E. W. Plummer, Phys. Rev. B 37, 10 387 (1988).

    Google Scholar 

  18. A. G. Eguiluz, M. Heinrichsmeier, A. Fleszar, and W. Hanke, Phys. Rev. Lett. 68, 1359 (1992).

    Article  ADS  Google Scholar 

  19. F. Finocchi, C. M. Bertoni, and S. Ossicini, Vacuum 41, 535 (1990).

    Article  Google Scholar 

  20. T. Fonden, S. Papadia, and M. Persson, J. Phys.: Condens. Matter 7, 2697 (1995).

    Article  ADS  Google Scholar 

  21. L. Jurczyszyn and M. Steslicka, Surf. Sci. Lett. 376, L424 (1997).

    Article  Google Scholar 

  22. D. A. Papaconstantopoulos, The Band Structure of Elemental Solids (Plenum Press, New York, 1986).

    Google Scholar 

  23. E. V. Chulkov, V. M. Silkin, and E. N. Shirykalov, Surf. Sci. 188, 287 (1987).

    Google Scholar 

  24. V. M. Silkin and E. V. Chulkov, Fiz. Tverd. Tela (St. Petersburg) 37, 2795 (1995) [Phys. Solid State 37, 1540 (1995)].

    Google Scholar 

  25. V. M. Silkin and E. V. Chulkov, Poverkhnost’ 11, 46 (1993).

    Google Scholar 

  26. H. Davis, J. B. Hannon, K. Ray, and E. W. Plummer, Phys. Rev. Lett. 68, 2632 (1992).

    Article  ADS  Google Scholar 

  27. P. Feibelman, Phys. Rev. B 46, 2532 (1992).

    ADS  Google Scholar 

  28. J. B. Hannon, E. W. Plummer, R. M. Wentzcovitch, and P. K. Lam, Phys. Rev. Lett. 46, 7942 (1992).

    Google Scholar 

  29. Ph. Hofmann, K. Pohl, R. Stumpf, and E. W. Plummer, Phys. Rev. B 53, 13 715 (1996).

  30. Ph. Hofmann, R. Stumpf, V. M. Silkin, E. V. Chulkov, and E. W. Plummer, Surf. Sci. Lett. 355, L278 (1996).

    Article  Google Scholar 

  31. O. Hjorstam, J. Trygg, J. M. Wills, B. Johansson, and O. Eriksson, Surf. Sci. 355, 214 (1996).

    Google Scholar 

  32. V. M. Silkin, E. V. Chulkov, I. Yu. Sklyadneva, and V. E. Panin, Izv. Vyssh. Uchebn. Zaved. Fiz. 9, 56 (1984).

    Google Scholar 

  33. E. V. Chulkov, V. M. Silkin, and E. N. Shirykalov, Fiz. Met. Metalloved. 64, 213 (1987).

    Google Scholar 

  34. L. Hedin and B. I. Lundqvist, J. Phys. C 4, 2062 (1971).

    Article  ADS  Google Scholar 

  35. S. C. Lam and R. J. Needs, Surf. Sci. 277, 173 (1992).

    Google Scholar 

  36. E. V. Chulkov, V. M. Silkin, and P. M. Echenique, Surf. Sci. Lett. 391, L1217 (1997).

    Article  Google Scholar 

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Authors and Affiliations

  1. Institute of Durability Physics and Materials Science, Siberian Branch of the Russian Academy of Sciences, 634021, Tomsk, Russia

    V. M. Silkin

  2. Departamento de Fisica de Materiales, Facultad de Quimica, Universidad del Pais Vasko/Euskal Herriko Unibertsitatea, Apdo. 1072, 200080, San Sebastian/Donostia, Spain

    E. V. Chulkov & P. M. Échenique

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  1. V. M. Silkin
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  2. E. V. Chulkov
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  3. P. M. Échenique
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Fiz. Tverd. Tela (St. Petersburg) 41, 935–940 (June 1999)

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Silkin, V.M., Chulkov, E.V. & Échenique, P.M. Image states on beryllium surfaces with low indices. Phys. Solid State 41, 848–853 (1999). https://doi.org/10.1134/1.1130889

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  • DOI: https://doi.org/10.1134/1.1130889

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