The European Physical Journal D

, Volume 45, Issue 2, pp 369–389 | Cite as

Non-equilibrium electron and phonon dynamics in metals under femtosecond laser pulses

  • L. D. Pietanza
  • G. Colonna
  • S. Longo
  • M. Capitelli
Ultraintense and Ultrashort Laser Fields

Abstract.

Different models for relaxation dynamics of electrons and phonons in a thin metal film heated by femto-pico second laser pulses have been discussed. The traditional two-temperature approach reveals to be inaccurate due to deviations of electrons and phonons from Fermi-Dirac and Bose-Einstein distributions, respectively. Coupled Boltzmann kinetic equations have been adapted for the quantum statistics to study the energy distribution of electrons and phonons in metals. Theoretical details have been discussed and a new solution method has been proposed overcoming numerical problems and improving stability, allowing the study of the dynamics until the complete relaxation. Numerical results have been compared with photoemission spectroscopy experimental data.

PACS.

47.70.Nd Nonequilibrium gas dynamics 52.38.Mf Laser ablation 07.05.Tp Computer modeling and simulation 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Bogaerts, Z. Chen, R. Gijbels, A. Vertes, Spectrochim. Acta B 58, 1867 (2003) CrossRefGoogle Scholar
  2. S.I. Anisimov, A.M. Bonch-Bruevich, M.A. El'yashevich, Ya. A. Imas, N.A. Pavlenko, G.R. Romanov, Zh. Tekh. Fiz. 36, 1273 (1966) [Sov. Phys. Tech. Phys. 11, 945 (1967)] Google Scholar
  3. S.I. Anisimov, B.L. Kapeliovitch, T.L. Perel'man, Zh. Eksp. Teor. Fiz. 66, 776 (1974) [Sov. Phys. JETP 39, 375 (1974)] ADSGoogle Scholar
  4. C.K. Sun, F. Vallée, L.H. Acioli, E.P. Ippen, J.G. Fujimoto, Phys. Rev. B 48, 12365 (1993) CrossRefADSGoogle Scholar
  5. N. Del Fatti, C. Voisin, M. Achermann, S. Tzortzakis, D. Christofilos, F. Vallée, Phys. Rev. B 61, 16956 (2000) CrossRefADSGoogle Scholar
  6. R.H.M. Groeneveld, R. Sprik, Phys. Rev. B 45, 5079 (1992) CrossRefADSGoogle Scholar
  7. D. Bejan, R. Raseev, Phys. Rev. B 55, 4250 (1997) CrossRefADSGoogle Scholar
  8. V.E. Gusev, O.B. Wright, Phy. Rev. B 57, 2878 (1998) CrossRefADSGoogle Scholar
  9. A.V. Lugovskoy, I. Bray, Phys. Rev. B 60, 3279 (1999) CrossRefADSGoogle Scholar
  10. B. Rethfeld, A. Kaiser, M. Vicanek, G. Simon, Phys. Rev. B 65, 214303 (2002) CrossRefADSGoogle Scholar
  11. S. Longo, L.D. Pietanza, F.A. Tassielli, M. Capitelli, Laser, Particle Beams 20, 285 (2002) CrossRefADSGoogle Scholar
  12. L.D. Pietanza, G. Colonna, S. Longo, M. Capitelli, Thin Solid Film 453, 512 (2004) CrossRefGoogle Scholar
  13. L.D. Pietanza, G. Colonna, S. Longo, M. Capitelli, Appl. Phys. A 79, 1047 (2004) CrossRefADSGoogle Scholar
  14. L.D. Pietanza, G. Colonna, M. Capitelli, Appl. Surf. Sci. 248, 103 (2005) CrossRefADSGoogle Scholar
  15. W.S. Fann, R. Storz, H.K. Tom, J. Bokor, Phys. Rev. Lett. 68, 2834 (1992) CrossRefADSGoogle Scholar
  16. W.S. Fann, R. Storz, H.K. Tom, J. Bokor, Phys. Rev. B 46, 13592 (1992) CrossRefADSGoogle Scholar
  17. M. Lisowski, P.A. Loukakos, U. Bovensiepen, J. Stahler, C. Gahl, M. Wolf, Appl. Phys. A 78, 165 (2004) CrossRefADSGoogle Scholar
  18. M. Lisowski, P.A. Loukakos, U. Bovensiepen, M. Wolf, Appl. Phys. A 79, 739 (2004) CrossRefADSGoogle Scholar
  19. M. Lisowski, P.A. Loukakos, M. Melnikov, I. Radu, L. Ungureanu, M. Wolf, U. Bovensiepen, Phys. Rev. Lett. 95, 137402 (2005) CrossRefADSGoogle Scholar
  20. M. Aeschlimann, M. Bauer, S. Pawlik, Chem. Phys. 205, 127 (1996) CrossRefGoogle Scholar
  21. M. Aeschlimann, M. Bauer, S. Pawlik, W. Weber, R. Burgermeister, D. Oberli, H.C. Siegmann, Phys. Rev. Lett. 79, 5158 (1997) CrossRefADSGoogle Scholar
  22. M. Wolf, M. Aeschlimann, Phys. B1 54, 145 (1998) Google Scholar
  23. M. Bauer, M. Aeschlimann, J. Electron Spectr. Rel. Phenom. 124, 225 (2002) CrossRefGoogle Scholar
  24. S.Ogawa, H. Nagano, H. Petek, Phys. Rev. B 55, 10869 (1997) CrossRefADSGoogle Scholar
  25. E. Knoesel, A. Hotzel, M. Wolf, Phys. Rev. B 57, 12812 (1998) CrossRefADSGoogle Scholar
  26. J. Cao, Y. Gao, H.E. Elayed-Ali, R.J.D. Miller, D.A. Mantell, Phys. Rev. B 58, 10948 (1998) CrossRefADSGoogle Scholar
  27. M. Bonn, D.N. Denzel, S. Funk, M. Wolf, S.-S. Wellershoff, J. Hohlfeld, Phys. Rev. B 61, 1101 (2000) CrossRefADSGoogle Scholar
  28. C.K. Sun, F. Vallée, L.H. Acioli, E.P. Ippen, J.G. Fujimoto, Phys. Rev. B 50, 15337 (1994) CrossRefADSGoogle Scholar
  29. R.H.M. Groeneveld, R. Sprik, A. Lagendijk, Phys. Rev. B 51, 11433 (1995) CrossRefADSGoogle Scholar
  30. R.W. Schoenlein, W.Z. Lin, J.G. Fujimoto, G.L. Eesley, Phys. Rev. Lett. 58, 1680 (1987) CrossRefADSGoogle Scholar
  31. H.E. Elsayed-Ali, T.B. Norris, M.A. Pessot, G.A. Mourou, Phys. Rev. Lett. 58, 1212 (1987) CrossRefADSGoogle Scholar
  32. H.E. Elsayed-Ali, T. Juhasz, G.O. Smith, W.E. Bron, Phys. Rev. B 43, 4488 (1990) CrossRefADSGoogle Scholar
  33. S.D. Brorson, A.Kazeroonian, J.S. Modera, D.W. Face, T.K. Cheng, E.P. Ippen, M.S. Dresselhaus, G. Dresselhaus, Phys. Rev. Lett. 64, 2172 (1990) CrossRefADSGoogle Scholar
  34. S.D. Brorson, J.G. Fujimoto, E.P. Ippen, Phys. Rev. Lett. 59, 1962 (1987) CrossRefADSGoogle Scholar
  35. C. Suarez, W.E. Bron, T. Juhasz, Phys. Rev. Lett. 75, 4536 (1995) CrossRefADSGoogle Scholar
  36. N. Del Fatti, R. Bouffanais, F. Vallée, C. Flytzanis, Phy. Rev. Lett. 81, 922 (1998) CrossRefADSGoogle Scholar
  37. R. Rosei, D.W. Lynch, Phys. Rev. B 5, 3883 (1972) CrossRefADSGoogle Scholar
  38. R. Rosei, Phys. Rev. B 10, 474 (1974) CrossRefADSGoogle Scholar
  39. R. Rosei, C.H. Culp, J.H. Weaver, Phys. Rev. B 10, 484 (1974) CrossRefADSGoogle Scholar
  40. R. Rosei, F. Antonangeli, U.M. Grassano, Surf. Sci. 37, 689 (1973) CrossRefGoogle Scholar
  41. N.W. Ashcroft, N.D. Mermin, Solid State Physics (Holt Saunders International Editions, 1976) Google Scholar
  42. D. Pines, Elementary excitations in solids (W.A. Benjamin Inc., New York, 1963) Google Scholar
  43. D. Pines, P. Nozières, W.A. Benjamin Inc., New York (1966) Google Scholar
  44. S.L. Adler, Phys. Rev. 130, 1654 (1963) CrossRefADSGoogle Scholar
  45. W.E. Lawrence, Phys. Rev. B 13, 5316 (1976) CrossRefADSGoogle Scholar
  46. D.R. Penn, Phys. Rev. B 22, 2677 (1980) CrossRefADSGoogle Scholar
  47. J.H. Collet, Phys. Rev. B 47, 10279 (1993) CrossRefADSGoogle Scholar
  48. D.W. Snoke, W.W. Ruhle, Y.C. Lu, E. Bauser, Phys. B 45, 10979 (1992) Google Scholar
  49. D.W. Snoke, J.P. Wolfe, Phys. Rev. B 39, 4030 (1989) CrossRefADSGoogle Scholar
  50. J.M.Ziman, Electrons and phonons (Clarendon Press, Oxford, 1960) Google Scholar
  51. P.B. Allen, Phys. Rev. Lett. 59, 1460 (1987) CrossRefADSGoogle Scholar
  52. G. Colonna, Suppl. Rend. Circ. Mat. Palermo II 57, 159 (1998) Google Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  • L. D. Pietanza
    • 1
  • G. Colonna
    • 1
  • S. Longo
    • 1
    • 2
  • M. Capitelli
    • 1
    • 2
  1. 1.Istituto di Metodologie Inorganiche e dei Plasmi (IMIP), CNR, sez. Bari, via Amendola 122/DBariItaly
  2. 2.Dipartimento di ChimicaUniversità degli Studi di BariBariItaly

Personalised recommendations