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
P. Echenique, R. Berndt, E. Chulkov, T. Fauster, A. Goldmann, U. Höfer, Surf. Sci. Rep. 52, 219 (2004)
A. Borisov, J. Gauyacq, A. Kazansky, E. Chulkov, V. Silkin, P. Echenique, Phys. Rev. Lett. 86, 488 (2001)
T. Hecht, H. Winter, A. Borisov, J. Gauyacq, A. Kazansky, Phys. Rev. Lett. 84, 2517 (2000)
H. Petek, H. Nagano, M.J. Weida, S. Ogawa, J. Phys. Chem. A 104, 10234 (2000)
M.F. Crommie, C.P. Lutz, D.M. Eigler, Nature 363, 524 (1993)
B.G. Briner, P. Hofmann, M. Doering, H.-P. Rust, E.W. Plummer, Phys. Rev. B 58, 13931 (1998)
L. Bürgi, O. Jeandupeux, H. Brune, K. Kern, Phys. Rev. Lett. 82, 4516 (1999)
N. Sato, S. Takeda, T. Nagao, S. Hasegawa, Phys. Rev. B 59, 2035 (1999)
L. Diekhöner, M. Schneider, A. Baranov, V. Stepanyuk, K. Kern, Phys. Rev. Lett. 90, 236801 (2003)
P. Wahl, M. Schneider, L. Diekhöner, R. Vogelgesang, K. Kern, Phys. Rev. Lett. 91, 106802 (2003)
L. Vitali, P. Wahl, M. Schneider, K. Kern, V. Silkin, E. Chulkov, P. Echenique, Surf. Sci. 523, L47 (2003)
K.-F. Braun, K. Rieder, Phys. Rev. Lett. 88, 096801 (2002)
S. Crampin, J. Kröger, H. Jensen, R. Berndt, Phys. Rev. Lett. 95, 029701 (2005)
P. Echenique, J. Pitarke, E. Chulkov, A. Rubio, Chem. Phys. 251, 1 (2000)
W. Berthold, U. Höfer, P. Feulner, E. Chulkov, V. Silkin, P. Echenique, Phys. Rev. Lett. 88, 056805 (2002)
P. Wahl, M. Schneider, L. Diekhöner, R. Vogelgesang, K. Kern, Phys. Rev. Lett. 95, 029702 (2005)
H. Rhie, S. Link, H. Dürr, W. Eberhardt, N. Smith, Phys. Rev. B 68, 033410 (2003)
S. Crampin, Phys. Rev. Lett. 95, 046801 (2005)
J. Kliewer, R. Berndt, E.V. Chulkov, V.M. Silkin, P.M. Echenique, S. Crampin, Science 288, 1399 (2000)
F. Reinert, G. Nicolay, S. Schmidt, D. Ehm, S. Hüfner, Phys. Rev. B 63, 115415 (2001)
F. Theilmann, R. Matzdorf, A. Goldmann, Surf. Sci. 420, 37 (1999)
C. Reuß, I. Shumay, U. Thomann, M. Kutschera, M. Weinelt, T. Fauster, U. Höfer, Phys. Rev. Lett. 82, 153 (1999)
K. Boger, M. Weinelt, T. Fauster, Phys. Rev. Lett. 92, 126803 (2004)
J. Kliewer, R. Berndt, S. Crampin, New J. Phys. 3, 22 (2001)
H. Jensen, J. Kroeger, R. Berndt, S. Crampin, Phys. Rev. B 71, 155417 (2005)
A. Bauer, A. Mühlig, D. Wegner, G. Kaindl, Phys. Rev. B 65, 075421 (2002)
S. Crampin, H. Jensen, J. Kröger, L. Limot, R. Berndt, Phys. Rev. B 72, 035443 (2005)
E.J. Heller, M.F. Crommie, C.P. Lutz, D.M. Eigler, Nature 389, 464 (1994)
L. Bürgi, O. Jeandupeux, A. Hirstein, H. Brune, K. Kern, Phys. Rev. Lett. 81, 5370 (1998)
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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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DOI: https://doi.org/10.1007/s00339-007-4065-y