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Local measurement of hot-electron phase-coherence at metal surfaces

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Abstract

We use scanning tunneling microscopy and spectroscopy to study the energy dependence of hot-electron scattering processes on metal surfaces via the determination of the energy-dependent phase-coherence length. From this an electron lifetime can be determined, which in the case of electrons in the surface state of Ag(111) and in the case of the n=1 image-potential state on Cu(100) shows good agreement with theoretical modeling and other experimental data. The method is based on the quantitative analysis of electron interference patterns. A theoretical analysis shows that the phase-coherence length can be determined in confining nanostructures of a characteristic length scale smaller than the phase-coherence length.

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References

  1. P. Echenique, R. Berndt, E. Chulkov, T. Fauster, A. Goldmann, U. Höfer, Surf. Sci. Rep. 52, 219 (2004)

    Article  ADS  Google Scholar 

  2. A. Borisov, J. Gauyacq, A. Kazansky, E. Chulkov, V. Silkin, P. Echenique, Phys. Rev. Lett. 86, 488 (2001)

    Article  ADS  Google Scholar 

  3. T. Hecht, H. Winter, A. Borisov, J. Gauyacq, A. Kazansky, Phys. Rev. Lett. 84, 2517 (2000)

    Article  ADS  Google Scholar 

  4. H. Petek, H. Nagano, M.J. Weida, S. Ogawa, J. Phys. Chem. A 104, 10234 (2000)

    Article  Google Scholar 

  5. M.F. Crommie, C.P. Lutz, D.M. Eigler, Nature 363, 524 (1993)

    Article  ADS  Google Scholar 

  6. B.G. Briner, P. Hofmann, M. Doering, H.-P. Rust, E.W. Plummer, Phys. Rev. B 58, 13931 (1998)

    Article  ADS  Google Scholar 

  7. L. Bürgi, O. Jeandupeux, H. Brune, K. Kern, Phys. Rev. Lett. 82, 4516 (1999)

    Article  ADS  Google Scholar 

  8. N. Sato, S. Takeda, T. Nagao, S. Hasegawa, Phys. Rev. B 59, 2035 (1999)

    Article  ADS  Google Scholar 

  9. L. Diekhöner, M. Schneider, A. Baranov, V. Stepanyuk, K. Kern, Phys. Rev. Lett. 90, 236801 (2003)

    Article  ADS  Google Scholar 

  10. P. Wahl, M. Schneider, L. Diekhöner, R. Vogelgesang, K. Kern, Phys. Rev. Lett. 91, 106802 (2003)

    Article  ADS  Google Scholar 

  11. L. Vitali, P. Wahl, M. Schneider, K. Kern, V. Silkin, E. Chulkov, P. Echenique, Surf. Sci. 523, L47 (2003)

    Article  Google Scholar 

  12. K.-F. Braun, K. Rieder, Phys. Rev. Lett. 88, 096801 (2002)

    Article  ADS  Google Scholar 

  13. S. Crampin, J. Kröger, H. Jensen, R. Berndt, Phys. Rev. Lett. 95, 029701 (2005)

    Article  ADS  Google Scholar 

  14. P. Echenique, J. Pitarke, E. Chulkov, A. Rubio, Chem. Phys. 251, 1 (2000)

    Article  Google Scholar 

  15. W. Berthold, U. Höfer, P. Feulner, E. Chulkov, V. Silkin, P. Echenique, Phys. Rev. Lett. 88, 056805 (2002)

    Article  ADS  Google Scholar 

  16. P. Wahl, M. Schneider, L. Diekhöner, R. Vogelgesang, K. Kern, Phys. Rev. Lett. 95, 029702 (2005)

    Article  ADS  Google Scholar 

  17. H. Rhie, S. Link, H. Dürr, W. Eberhardt, N. Smith, Phys. Rev. B 68, 033410 (2003)

    Article  ADS  Google Scholar 

  18. S. Crampin, Phys. Rev. Lett. 95, 046801 (2005)

    Article  ADS  Google Scholar 

  19. J. Kliewer, R. Berndt, E.V. Chulkov, V.M. Silkin, P.M. Echenique, S. Crampin, Science 288, 1399 (2000)

    Article  ADS  Google Scholar 

  20. F. Reinert, G. Nicolay, S. Schmidt, D. Ehm, S. Hüfner, Phys. Rev. B 63, 115415 (2001)

    Article  ADS  Google Scholar 

  21. F. Theilmann, R. Matzdorf, A. Goldmann, Surf. Sci. 420, 37 (1999)

    Article  Google Scholar 

  22. C. Reuß, I. Shumay, U. Thomann, M. Kutschera, M. Weinelt, T. Fauster, U. Höfer, Phys. Rev. Lett. 82, 153 (1999)

    Article  ADS  Google Scholar 

  23. K. Boger, M. Weinelt, T. Fauster, Phys. Rev. Lett. 92, 126803 (2004)

    Article  ADS  Google Scholar 

  24. J. Kliewer, R. Berndt, S. Crampin, New J. Phys. 3, 22 (2001)

    Article  ADS  Google Scholar 

  25. H. Jensen, J. Kroeger, R. Berndt, S. Crampin, Phys. Rev. B 71, 155417 (2005)

    Article  ADS  Google Scholar 

  26. A. Bauer, A. Mühlig, D. Wegner, G. Kaindl, Phys. Rev. B 65, 075421 (2002)

    Article  ADS  Google Scholar 

  27. S. Crampin, H. Jensen, J. Kröger, L. Limot, R. Berndt, Phys. Rev. B 72, 035443 (2005)

    Article  ADS  Google Scholar 

  28. E.J. Heller, M.F. Crommie, C.P. Lutz, D.M. Eigler, Nature 389, 464 (1994)

    Article  ADS  Google Scholar 

  29. L. Bürgi, O. Jeandupeux, A. Hirstein, H. Brune, K. Kern, Phys. Rev. Lett. 81, 5370 (1998)

    Article  ADS  Google Scholar 

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Correspondence to M.A. Schneider.

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PACS

73.20.At; 73.50.Gr; 72.10.Fk; 68.37.Ef

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Schneider, M., Wahl, P., Vitali, L. et al. Local measurement of hot-electron phase-coherence at metal surfaces. Appl. Phys. A 88, 443–447 (2007). https://doi.org/10.1007/s00339-007-4065-y

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