Applied Physics A

, Volume 96, Issue 1, pp 5–10

Quantum dynamical study of the amplitude collapse and revival of coherent A1g phonons in bismuth: a classical phenomenon?

  • Momar S. Diakhate
  • Eeuwe S. Zijlstra
  • Martin E. Garcia


We parameterize the potential energy surface of bismuth after intense laser excitation using accurate full-potential linearized augmented plane wave calculations. Anharmonic contributions up to the fifth power in the A1g phonon coordinate are given as a function of the absorbed laser energy. Using a previously described model including effects of electron–phonon coupling and carrier diffusion due to Johnson et al., we obtain the time-dependent potential energy surface for any given laser pulse shape and duration. On the basis of this parameterization we perform quantum dynamical simulations to study the experimentally observed amplitude collapse and revival of coherent A1g phonons in bismuth considering work of Misochko et al. Our results strongly indicate that the observed beatings are not related to quantum effects and are most probably of classical origin.


63.20.Ry 78.47.J- 


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  1. 1.
    S. Hunsche, K. Wienecke, T. Dekorsy, H. Kurz, Phys. Rev. Lett. 75, 1815 (1995) CrossRefADSGoogle Scholar
  2. 2.
    M. Hase, M. Kitajima, S. Nakashima, K. Mizoguchi, Phys. Rev. Lett. 88, 067401 (2002) CrossRefADSGoogle Scholar
  3. 3.
    S.L. Johnson, P. Beaud, C.J. Milne, F.S. Krasniqi, E.S. Zijlstra, M.E. Garcia, M. Kaiser, D. Grolimund, R. Abela, G. Ingold, Phys. Rev. Lett. 100, 155501 (2008) CrossRefADSGoogle Scholar
  4. 4.
    D. Boschetto, E.G. Gamaly, A.V. Rode, B. Luther-Davies, D. Glijer, T. Garl, O. Albert, A. Rousse, J. Etchepare, Phys. Rev. Lett. 100, 027404 (2008) CrossRefADSGoogle Scholar
  5. 5.
    O.V. Misochko, K. Sakai, S. Nakashima, Phys. Rev. B 61, 11225 (2000) CrossRefADSGoogle Scholar
  6. 6.
    O.V. Misochko, M. Hase, K. Ishioka, M. Kitajima, Phys. Rev. Lett. 92, 197401 (2004) CrossRefADSGoogle Scholar
  7. 7.
    E.S. Zijlstra, L.L. Tatarinova, M.E. Garcia, Phys. Rev. B 74, 220301(R) (2006) CrossRefADSGoogle Scholar
  8. 8.
    I.Sh. Averbukh, N.F. Perelman, Phys. Lett. A 139, 449 (1989) CrossRefADSGoogle Scholar
  9. 9.
    J.A. Yeazell, M. Mallalieu, C.R. Stroud Jr., Phys. Rev. Lett. 64, 2007 (1990) CrossRefADSGoogle Scholar
  10. 10.
    M.J.J. Vrakking, D.M. Villeneuve, A. Stolow, Phys. Rev. A 54, R37 (1996) CrossRefADSGoogle Scholar
  11. 11.
    P. Blaha, K. Schwarz, G.K.H. Madsen, D. Kvasnicka, J. Luitz, WIEN2k, an Augmented Plane Wave+Local Orbitals Program for Calculating Crystal Properties (Technische Universität Wien, Austria, 2001) Google Scholar
  12. 12.
    P. Hohenberg, W. Kohn, Phys. Rev. 136, B864 (1964) CrossRefADSMathSciNetGoogle Scholar
  13. 13.
    W. Kohn, L.J. Sham, Phys. Rev. 140, A1133 (1965) CrossRefADSMathSciNetGoogle Scholar
  14. 14.
    J.P. Perdew, Y. Wang, Phys. Rev. B 45, 13244 (1992) CrossRefADSGoogle Scholar
  15. 15.
    E. Sjöstedt, L. Nordström, D.J. Singh, Solid State Commun. 114, 15 (2000) CrossRefADSGoogle Scholar
  16. 16.
    G.K.H. Madsen, P. Blaha, K. Schwarz, E. Sjöstedt, L. Nordström, Phys. Rev. B 64, 195134 (2001) CrossRefADSGoogle Scholar
  17. 17.
    D. Singh, Phys. Rev. B 43, 6388 (1991) CrossRefADSGoogle Scholar
  18. 18.
    D.J. Singh, Planewaves, Pseudopotentials, and the LAPW Method (Kluwer Academic, Boston, 1994) Google Scholar
  19. 19.
    N.D. Mermin, Phys. Rev. 137, A1441 (1965) CrossRefADSMathSciNetGoogle Scholar
  20. 20.
    H.J. Zeiger, J. Vidal, T.K. Cheng, E.P. Ippen, G. Dresselhaus, M.S. Dresselhaus, Phys. Rev. B 45, 768 (1991) CrossRefADSGoogle Scholar
  21. 21.
    M.D. Feit, J.A. Fleck, J. Chem. Phys. 78, 301 (1982) CrossRefADSGoogle Scholar
  22. 22.
    E.S. Zijlstra, L.L. Tatarinova, M.E. Garcia, Proc. SPIE 6261, 62610R (2006) CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  • Momar S. Diakhate
    • 1
  • Eeuwe S. Zijlstra
    • 1
  • Martin E. Garcia
    • 1
  1. 1.Theoretische PhysikUniversität KasselKasselGermany

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