Hole dynamics in noble metals

Physical Review Letters

Volumn 85, Issue 15, 2000, Pages 3241-3244

  Campillo, I ^a   Rubio, A ^b   Pitarke, J M ^a,d   Goldmann, A ^c   Echenique, P M ^a,d  

^a UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

^b UNIVERSITY OF VALLADOLID   (Spain)

^c UNIVERSITY OF KASSEL   (Germany)

^d DONOSTIA INTERNATIONAL PHYSICS CENTER DIPC   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

COPPER; ELECTRON GAS; ELECTRON SCATTERING; ELECTRONIC DENSITY OF STATES; ELECTRONS; FERMI LEVEL; GOLD; PROBABILITY DENSITY FUNCTION;

AUGER DECAY; ELECTRON HOLE CORRELATION EFFECTS; FIRST PRINCIPLE MANY BODY CALCULATIONS; HOLE DYNAMICS; NOBLE METALS;

HOLE TRAPS;

EID: 0034300444     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.3241     Document Type: Article

References (54)

1. S. Ogawa et al., Phys. Rev. Lett. 78, 1339 (1997).
2. U. Höfer et al., Science 277, 1480 (1997).
3. E. W. G. Diau et al., Science 279, 847 (1998).
4. M. Bonn et al., Science 285, 1042 (1999).
5. R. Matzdorf et al., Solid State Commun. 92, 839 (1994).
6. R. Matzdorf, Appl. Phys. A 63, 549 (1996); Surf. Sci. Rep. 30, 153 (1998).
7. R. Matzdorf, Appl. Phys. A 63, 549 (1996); Surf. Sci. Rep. 30, 153 (1998).
8. A. Goldmann, R. Matzdorf, and F. Theilmann, Surf. Sci. 414, L932 (1998).
9. D. Purdie et al., Surf. Sci. 407, L671 (1998).
10. J. Bokor, Science 246, 1130 (1989).
11. R. Haight, Surf. Sci. Rep. 21, 275 (1995).
12. H. Petek and S. Ogawa, Prog. Surf. Sci. 56, 239 (1997).
13. P. M. Echenique et al., Chem. Phys. 251, 1 (2000), and references therein.
14. 0 the average electron density.
15. J. J. Quinn and R. A. Ferrell, Phys. Rev. 112, 812 (1958).
16. R. H. Ritchie, Phys. Rev. 114, 644 (1959).
17. J. J. Quinn, Phys. Rev. 126, 1453 (1962); J. C. Shelton, Surf. Sci. 44, 305 (1974).
18. J. J. Quinn, Phys. Rev. 126, 1453 (1962); J. C. Shelton, Surf. Sci. 44, 305 (1974).
19. R. H. Ritchie and J. C. Ashley, J. Phys. Chem. Solids 26, 1689 (1963); L. Kleinman, Phys. Rev. B 3, 2982 (1976); D. R. Penn, Phys. Rev. B 13, 5248 (1976).
20. R. H. Ritchie and J. C. Ashley, J. Phys. Chem. Solids 26, 1689 (1963); L. Kleinman, Phys. Rev. B 3, 2982 (1976); D. R. Penn, Phys. Rev. B 13, 5248 (1976).
21. R. H. Ritchie and J. C. Ashley, J. Phys. Chem. Solids 26, 1689 (1963); L. Kleinman, Phys. Rev. B 3, 2982 (1976); D. R. Penn, Phys. Rev. B 13, 5248 (1976).
22. D. R. Penn, Phys. Rev. B 22, 2677 (1980).
23. W. S. Fann et al., Phys. Rev. Lett. 68, 2834 (1992); Phys. Rev. B 46, 13592 (1992).
24. W. S. Fann et al., Phys. Rev. Lett. 68, 2834 (1992); Phys. Rev. B 46, 13592 (1992).
25. C. A. Schmutenmaer et al., Phys. Rev. B 50, 8957 (1994).
26. T. Hertel et al., Phys. Rev. Lett. 76, 535 (1996).
27. M. Aeschlimann et al., Phys. Rev. Lett. 79, 5158 (1997).
28. S. Ogawa, H. Nagano, and H. Petek, Phys. Rev. B 55, 1 (1997).
29. J. Cao et al., Phys. Rev. B 56, 1099 (1997); Phys. Rev. B 58, 10 948 (1998).
30. J. Cao et al., Phys. Rev. B 56, 1099 (1997); Phys. Rev. B 58, 10 948 (1998).
31. E. Knoesel, A. Hotzel, and M. Wolf, Phys. Rev. B 57, 12 812 (1998).
32. H. Petek, H. Nagano, and S. Ogawa, Phys. Rev. Lett. 83, 832 (1999).
33. R. Matzdorf et al., Appl. Phys. B 68, 393 (1999).
34. I. Campillo et al., Phys. Rev. Lett. 83, 2230 (1999); I. Campillo et al., Phys. Rev. B 61, 13 484 (2000).
35. I. Campillo et al., Phys. Rev. Lett. 83, 2230 (1999); I. Campillo et al., Phys. Rev. B 61, 13 484 (2000).
36. W.-D. Schöne et al., Phys. Rev. B 60, 8616 (1999); R. Keyling, W.-D. Schöne, and W. Ekardt, Phys. Rev. B 61, 1670 (2000).
37. W.-D. Schöne et al., Phys. Rev. B 60, 8616 (1999); R. Keyling, W.-D. Schöne, and W. Ekardt, Phys. Rev. B 61, 1670 (2000).
38. L. Hedin and S. Lundqvist, Solid State Phys. 23, 1 (1969).
39. In the experiments there are various physical processes contributing to the measured lifetime that are not taken into account in these calculations. These are electron transport of the excited electron, higher-order electron-hole recombination processes, and electron-phonon interactions (which might be important and even dominant for high enough temperatures and very-low-energy electrons).
40. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964); W. Kohn and L. Sham, Phys. Rev. 140, A1133 (1965).
41. P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964); W. Kohn and L. Sham, Phys. Rev. 140, A1133 (1965).
42. D. J. Singh, Plane Waves, Pseudopotentials, and the LAPW Method (Kluwer, Boston, 1994).
43. I. Campillo, A. Rubio, and J. M. Pitarke, Phys. Rev. B 59, 12 188 (1999).
44. V. N. Strokov et al., Phys. Rev. Lett. 81, 4943 (1998).
45. The computed d-band energies do not improve when gradient corrections to the local density approximation (LDA) exchange-correlation potential are introduced. The existing disagreement between theory and experiment is expected to be due to self-energy corrections to exchange and correlation.
46. 10 electrons of Cu and Au, respectively. The electron-ion interaction has been described by means of a nonlocal, norm conserving Troullier-Martins pseudopotential. The dielectric matrix has been evaluated in the RPA, by including bands up to a maximum energy of 25 eV above the Fermi level. The sampling over the BZ has been performed on a 16 X 6 X 16 Monkhorst-Pack mesh. The exchange-correlation potential has been evaluated within the LDA, by using the Perdew-Zunger parametrization of the Ceperley-Alder correlation energy. Crystalline local-field effects are fully included in our calculations.
47. These calculations have been carried out by computing the self-energy on the energy shell, with no explicit inclusion of the excitation-spectral-weight renormalization that is due to changes of the self-energy near the Fermi level. Within a FEG model of the solid this renormalization is known to yield lifetimes that are longer than those obtained on the energy shell by ∼20% (see Ref. [12]).
48. I. Campillo et al., Phys. Rev. B 62, 1500 (2000).
49. H. Petek, H. Nagano, M. Weida, and S. Ogawa, Chem. Phys. 251, 71 (2000).
50. B. Gumhalter and H. Petek, Surf. Sci. 445, 195 (2000).
51. M. Rohfling and S. G. Louie, Phys. Rev. Lett. 81, 2312 (1998); L. X. Benedict, E. L. Shirley, and R. B. Bohn, Phys. Rev. Lett. 80, 4514 (1998); S. Albretcht et al., Phys. Rev. Lett. 80, 4510 (1998).
52. M. Rohfling and S. G. Louie, Phys. Rev. Lett. 81, 2312 (1998); L. X. Benedict, E. L. Shirley, and R. B. Bohn, Phys. Rev. Lett. 80, 4514 (1998); S. Albretcht et al., Phys. Rev. Lett. 80, 4510 (1998).
53. M. Rohfling and S. G. Louie, Phys. Rev. Lett. 81, 2312 (1998); L. X. Benedict, E. L. Shirley, and R. B. Bohn, Phys. Rev. Lett. 80, 4514 (1998); S. Albretcht et al., Phys. Rev. Lett. 80, 4510 (1998).
54. The Auger recombination rate reported in Ref. [26] was determined by subtracting the electron-phonon contribution from the total decay rate. However, it might very well be that the T = 0 rate contribution from the electron-phonon coupling is larger than estimated in Ref. [26], and the measured value of τ(E) should, therefore, be considered as a lower limit of the actual inelastic lifetime.