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First Principles Calculation of the Hot Electron Lifetime in Simple and Noble Metals

Published online by Cambridge University Press:  15 February 2011

I. Campillo ,
A. Rubio ,
J. M. Pitarke  and
P. M. Echenique
I. Campillo
Affiliation:
Materia Kondentsatuaren Fisika Saila, Zientzi Fakultatea, Euskal Herriko Unibertsitatea, 644 Posta kutxatila, 48080 Bilbo, Basque Country, Spain
A. Rubio
Affiliation:
Departamento de Física Teórica, Universidad de Valladolid, 47011 Valladolid, Spain Donostia International Physics Center (DIPC) and Centro Mixto CSIC-UPV/EHU
J. M. Pitarke
Affiliation:
Materia Kondentsatuaren Fisika Saila, Zientzi Fakultatea, Euskal Herriko Unibertsitatea, 644 Posta kutxatila, 48080 Bilbo, Basque Country, Spain Donostia International Physics Center (DIPC) and Centro Mixto CSIC-UPV/EHU
P. M. Echenique
Affiliation:
Donostia International Physics Center (DIPC) and Centro Mixto CSIC-UPV/EHU Materialen Fisika Saila, Kimika Fakultatea, Euskal Herriko Unibertsitatea, 1072 Posta kutxatila, 20080 Donostia, Basque Country, Spain
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Abstract

First-principles calculations of the inelastic lifetime of low-energy electrons in Al. Cu and Au are reported. Quasiparticle damping rates are evaluated from the knowledge of the electron self-energy, which we compute within the GW approximation. Inelastic lifetimes are then obtained along various directions of the electron wave vector, with full inclusion of the band structure of the solid. Average lifetimes are also reported, as a function of the electron energy. In Al splitting of the band structure over the Fermi level yields electron lifetimes that are smaller than those of electrons in a free-electron gas. In Cu and Au, a major contribution from d electrons participating in the screening of electron-electron interactions yields electron lifetimes which are well above those of electrons in a free-electron gas with the electron density equal to that of valence (4s1 and 6s1 respectively) electrons.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 579: Symposium B – The Optical Properties of Materials , 1999 , 33
Copyright
Copyright © Materials Research Society 2000

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References

REFERENCES

[1] Quinn, J. J. and Ferrell, R. A., Phys. Rev. 112, 812 (1958).Google Scholar
[2] Ritchie, R. H., Phys. Rev. 114, 644 (1959).Google Scholar
[3] Quinn, J. J., Phys. Rev. 126, 1453 (1962).Google Scholar
[4] Ritchie, R. H. and Ashley, J. C. J. Phys. Chem. Solids 26, 1689 (1965).Google Scholar
[5] Kleinman, L., Phys. Rev. B 3, 2982 (1971).Google Scholar
[6] Shelton, J. C., Surf. Sci. 44, 305 (1974).Google Scholar
[7] Penn, D. R., Phys. Rev. B 13, 5248 (1976).Google Scholar
[8] Tung, C. J. Ashley, J. C., and Ritchie, R. H., Surf. Sci. 81, 427 (1979).Google Scholar
[9] Penn, D. R., Phys. Rev. B 22, 2677 (1980).Google Scholar
[10] Penn, D. R., Phys. Rev. B 35, 482 (1987).Google Scholar
[11] Schmutenmaer, C. A. Aeschlimann, M. Elsayed-Ali, H. E. Miller, R. J. D. Mantell, D. A. Cao, J., and Gao, Y., Phys. Rev. B 50, 8957 (1994).Google Scholar
[12] Hertel, T. Knoesel, E. Wolf, M., and Ertl, G., Phys. Rev. Lett. 76, 535 (1996).Google Scholar
[13] Ogawa, S. Nagano, H. and Petek, H., Phys. Rev. B 55, 1 (1997).Google Scholar
[14] Cao, J. Gao, Y. Miller, R. J. D. Elsayed-Ali, H. E. Mantell, D. A., Phys. Rev. B 56, 1099 (1997).Google Scholar
[15] Aeschlimann, M. Bauer, M. Pawlik, S. Weber, W. Burgermeister, R. Oberli, D., and Siegmann, H. C., Phys. Rev. Lett. 79, 5158 (1997).Google Scholar
[16] Knoesel, E. Hotzel, A. and Wolf, M., Phys. Rev. B 57, 12812 (1998).Google Scholar
[17] Goldmann, A. Matzdorf, R., and Theilmann, F., Surf. Sci. 414, L932 (1998).Google Scholar
[18] Cao, J. Gao, Y. Elsayed-Ali, H. E. Miller, R. J. D., and Mantell, D. A., Phys. Rev. B 58, 10948 (1998).Google Scholar
[19] Bauer, M. Pawlik, S. Aeschlimann, M., Proc. of the SPI E 3272, 201 (1998).Google Scholar
[20] Petek, H. and Ogawa, S., Prog. Surf. Sci. 56, 239 (1998).Google Scholar
[21] Campillo, I. Pitarke, J. M. Rubio, A. Zarate, E., and Echenique, P. M., Phys. Rev. Lett. 83, 2230 (1999).Google Scholar
[22] Schöne, W.-D. Keyling, R. Bandié, M., and Ekardt, W., Phys. Rev. B 60, 8616 (1999).Google Scholar
[23] Campillo, I. Silkin, V. M. Pitarke, J. M. Chulkov, E. V. Rubio, A., and Echenique, P. M., submitted to Phys. Rev. B.Google Scholar
[24] Hohenberg, P. and Kohn, W., Phys. Rev. 136, B864 (1964); W. Kohn and L. Sham, Phys. Rev. 140, A1133 (1965).Google Scholar
[25] We use the xc energy of Ceperley and Adler [Ceperley, D. M. and Alder, B. J., Phys. Rev. Lett. 45, 1196 (1980)] as parametrized by Perdew and Zunger [J. P. Perdew and A. Zunger, Phys. Rev. B 23, 5048 (1981)].Google Scholar
[26] Troullier, N. and Martins, J. L., Phys. Rev. B 43, 1993 (1991).Google Scholar
[27] Fetter, A. L. and Walecka, J. D., Quantum Theory of Many-Particle Systems (McGraw- Hill, New York, 1971).Google Scholar
[28] Hedin, L. and Lundqvist, S., Solid State Phys. 23, 1 (1969).Google Scholar
[29] The so-called electron-density parameter rs, is defined by the relation 1/no = (4/3)πr3 s, πo being the average electron density.Google Scholar
[30] Echenique, P. M. Pitarke, J. M. Chulkov, E. V., and Rubio, A., to appear in Chem. Phys..Google Scholar
[31] Monkhorst, H. J. and Pack, J. D., Phys. Rev. B 13, 5188 (1976).Google Scholar
[32] Campillo, I. Rubio, A., and Pitarke, J. M., Phys. Rev. B 59, 12188 (1999).Google Scholar
[33] Monkhorst, H. J. and Pack, J. D., Phys. Rev. B 13, 5188 (1976).Google Scholar
[34] Platzman, P. M. Isaacs, E. D. Williams, H. Zschack, P., and Ice, G. E., Phys. Rev. B 46, 12943 (1992). W. Schulke H. Schulte-Schrepping, and J. R. Schmitz, Phys. Rev. B 47, 12426 (1993). Larson J. Z. Tischler E. D. Isaacs P. Zschack A. Fleszar, and A. G. Eguiluz, Phys. Rev. Lett. 77, 1346 (1997).Google Scholar
[35] Fleszar, A. Quong, A. A., and Eguiluz, A. G., Phys. Rev. Lett. 74, 590 (1995).Google Scholar
[36] Campillo, I. Pitarke, J. N., and Eguiluz, A. G., Phys. Rev. B 58, 10307 (1998).Google Scholar
[37] Adler, S. L., Phys. Rev. 130, 1654 (1963).Google Scholar