DOI: 10.1126/science.288.5470.1399. Dimensionality Effects in the Lifetime of Surface States

Dimensionality Effects in the Lifetime of Surface States

10.1126/science.288.5470.1399

Crossref journal-article

American Association for the Advancement of Science (AAAS)

Science (221)

Abstract

A long-standing discrepancy between experimental and theoretical values for the lifetimes of holes in the surface-state electron bands on noble metal surfaces is resolved; previous determinations of both are found to have been in error. The ability of the scanning tunneling microscope to verify surface quality before taking spectroscopic measurements is used to remove the effects of defect scattering on experimental lifetimes, found to have been a significant contribution to prior determinations. A theoretical treatment of inelastic electron-electron scattering is developed that explicitly includes intraband transitions within the surface state band. In our model, two-dimensional decay channels dominate the electron-electron interactions that contribute to the hole decay and are screened by the electron states of the underlying three-dimensional electron system.

Bibliography

Kliewer, J., Berndt, R., Chulkov, E. V., Silkin, V. M., Echenique, P. M., & Crampin, S. (2000). Dimensionality Effects in the Lifetime of Surface States. Science, 288(5470), 1399â1402.

Authors 6

J. Kliewer (first)
R. Berndt (additional)
E. V. Chulkov (additional)
V. M. Silkin (additional)
P. M. Echenique (additional)
S. Crampin (additional)

References 34 Referenced 298

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10.1080/000187398243519
Quinn J. J., Phys. Rev. 126, 1453 (1962). (10.1103/PhysRev.126.1453) / Phys. Rev. by Quinn J. J. (1962)
Giuliani G. F., Quinn J. J., Phys. Rev. B 26, 4421 (1982). (10.1103/PhysRevB.26.4421) / Phys. Rev. B by Giuliani G. F. (1982)
10.1103/PhysRevB.36.5809
Plummer E. W., Hannon J. B., Progr. Surf. Sci. 46, 149 (1994). (10.1016/0079-6816(94)90075-2) / Progr. Surf. Sci. by Plummer E. W. (1994)
Y. Hasegawa and Ph. Avouris Phys. Rev. Lett. 71 1071 (1993). (10.1103/PhysRevLett.71.1071)
10.1126/science.262.5131.218
P. T. Sprunger L. Petersen E. W. Plummer E. Laegsgaard F. Besenbacher Science 275 1764 (1997). (10.1126/science.275.5307.1764)
Hofmann P., et al., Phys. Rev. Lett. 79, 265 (1997). (10.1103/PhysRevLett.79.265) / Phys. Rev. Lett. by Hofmann P. (1997)
Matzdorf R., Surf. Sci. Rep. 30, 153 (1998). (10.1016/S0167-5729(97)00013-7) / Surf. Sci. Rep. by Matzdorf R. (1998)
Smith N. V., Comments Condens. Matter Phys. 15, 263 (1992). / Comments Condens. Matter Phys. by Smith N. V. (1992)
Gaisch R., et al., Ultramicroscopy 42-44, 1621 (1992). (10.1016/0304-3991(92)90495-6) / Ultramicroscopy by Gaisch R. (1992)
The reconstruction of the Au(111) surface causes some deviation of dI / dV spectra from the expected 2D electron-gas shape (31). However we verified from series of individual spectra acquired at various sites (fcc hcp and domain boundaries) that the width of the rise is not strongly affected.
Li J., Schneider W.-D., Berndt R., Bryant O. R., Crampin S., Phys. Rev. Lett. 81, 893 (1998). / Phys. Rev. Lett. by Li J. (1998)
A somewhat shorter lifetime for Ag was reported previously (15). In a new apparatus we have decreased high-frequency voltage noise at the tunneling tip which is a source of broadening of dI / dV spectra. Our new larger value thus represents an improved lower limit of the lifetime.
Crampin S., Boon M. H., Inglesfield J. E., Phys. Rev. Lett. 73, 1015 (1994). (10.1103/PhysRevLett.73.1015) / Phys. Rev. Lett. by Crampin S. (1994)
Theilmann F., Matzdorf R., Meister G., Goldmann A., Phys. Rev. B 56, 3632 (1997). (10.1103/PhysRevB.56.3632) / Phys. Rev. B by Theilmann F. (1997)
Quinn J. J., Appl. Phys. Lett. 2, 167 (1963). (10.1063/1.1753828) / Appl. Phys. Lett. by Quinn J. J. (1963)
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G. Grimvall The Electron-Phonon Interaction in Metals (North-Holland New York 1981).
We use electron-phonon coupling parameters λ Ag = 0.13 (21) λ Au = 0.17 (21) and λ Cu = 0.14 (20).
A strictly 2D Debye model (32) with Debye temperatures determined from the highest surface phonon frequency gives contributions 4.7 4.7 and 7.6 meV for Ag Au and Cu.
Hedin L., Lundqvist S., Solid State Phys. 23, 1 (1969). / Solid State Phys. by Hedin L. (1969)
Chulkov E. V., Sarria I., Silkin V. M., Pitarke J. M., Echenique P. M., Phys. Rev. Lett. 80, 4947 (1998). (10.1103/PhysRevLett.80.4947) / Phys. Rev. Lett. by Chulkov E. V. (1998)
Chulkov E. V., Silkin V. M., Echenique P. M., Surf. Sci. 437, 330 (1999). (10.1016/S0039-6028(99)00668-8) / Surf. Sci. by Chulkov E. V. (1999)
E. D. Palik Handbook of Optical Constants of Solids (Academic Press Boston 1985).
The same approach to d -screening applied to bulk line widths reduces them by a factor of ε = 2.4 for Cu. A recent first-principles calculation has shown that d -electrons decrease the line width of bulk states in Cu by a factor of 2.4 in excellent agreement with this model (33).
Bürgi L., Jeandupeux O., Brune H., Kern K., Phys. Rev. Lett. 82, 4516 (1999). (10.1103/PhysRevLett.82.4516) / Phys. Rev. Lett. by Bürgi L. (1999)
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Campillo I., Pitarke J. M., Rubio A., Zarate E., Echenique P. M., Phys. Rev. Lett. 83, 2230 (1999). (10.1103/PhysRevLett.83.2230) / Phys. Rev. Lett. by Campillo I. (1999)
J.K. and R.B. thank the Deutsche Forschungsgemeinschaft for support via Sonderforschungsbereich 341. S.C. acknowledges the support of the Engineering and Physical Sciences Research Council. P.M.E. acknowledges the Max Planck Research Award funds. We thank N. Lorente for discussions.

Dates

Type	When
Created	23 years, 1 month ago (July 27, 2002, 5:35 a.m.)
Deposited	1 year, 7 months ago (Jan. 13, 2024, 5:49 a.m.)
Indexed	1 week, 1 day ago (Aug. 19, 2025, 7:03 a.m.)
Issued	25 years, 3 months ago (May 26, 2000)
Published	25 years, 3 months ago (May 26, 2000)
Published Print	25 years, 3 months ago (May 26, 2000)

Funders 0

None

BibTeX

@article{Kliewer_2000, title={Dimensionality Effects in the Lifetime of Surface States}, volume={288}, ISSN={1095-9203}, url={http://dx.doi.org/10.1126/science.288.5470.1399}, DOI={10.1126/science.288.5470.1399}, number={5470}, journal={Science}, publisher={American Association for the Advancement of Science (AAAS)}, author={Kliewer, J. and Berndt, R. and Chulkov, E. V. and Silkin, V. M. and Echenique, P. M. and Crampin, S.}, year={2000}, month=may, pages={1399–1402} }

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    "issue": "5470",
    "published-print": {
      "date-parts": [
        [
          2000,
          5,
          26
        ]
      ]
    }
  },
  "alternative-id": [
    "10.1126/science.288.5470.1399"
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  "URL": "http://dx.doi.org/10.1126/science.288.5470.1399",
  "relation": {},
  "ISSN": [
    "0036-8075",
    "1095-9203"
  ],
  "subject": [],
  "container-title-short": "Science",
  "published": {
    "date-parts": [
      [
        2000,
        5,
        26
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    ]
  }
}