Zeitschrift für Physik B Condensed Matter

, Volume 78, Issue 2, pp 175–190 | Cite as

Superconductivity-induced phonon self-energy effects in high-T c superconductors

  • R. Zeyher
  • G. Zwicknagl


The superconductivity-induced self-energy of phonons has been calculated in the lowest-order conserving approximation using conventional strong-coupling theory and also including scattering at nonmagnetic impurities. Results for the dependence of the shift and the width of phonons on temperature and scattering rates are presented and their sensitivity on the strength of the electron-phonon coupling and on impurities is pointed out. The theory is applied to optical data in YBa2Cu3O7 using the experimental one-phonon density, the value ofT c and [*=0.25 as inputs. Neglecting anisotropies and the momentum dependence of the electron-phonon coupling the resulting strong-coupling model with λ≈2.9 yields results which are in good agreement with the data, in particular, if impurity scattering is taken into account.


Spectroscopy Neural Network Anisotropy State Physics Complex System 
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  1. 1.
    Shapiro, S.M., Shirane, G., Axe, J.D.: Phys. Rev. B12, 4899 (1975)Google Scholar
  2. 2.
    Macfarlane, R.M., Rosen, H.J., Seki, H.: Solid State Commun.63, 831 (1987)Google Scholar
  3. 3.
    Wittlin, A., Liu, R., Cardona, M., Genzel, L., König, W., Garcia-Alvarado, F.: Solid State Commun.64, 477 (1987)Google Scholar
  4. 4.
    Cooper, S.L., Klein, M.V., Pazol, B.G., Rice, J.P., Ginsberg, D.M.: Phys. Rev. B37, 5920 (1987)Google Scholar
  5. 5.
    Thomsen, C., Liu, R., Wittlin, A., Genzel, L., Cardona, M., König, W., Cabanas, M.V., Garcia, E.: Solid State Commun.65, 219 (1988)Google Scholar
  6. 6.
    Liu, R., Thomsen, C., Kress, W., Cardona, M., Gegenheimer, B., Wette, F.W. de, Prade, J., Kulkarni, A.D., Schröder, U.: Phys. Rev. B37, 7971 (1988)Google Scholar
  7. 7.
    Thomsen, C., Cardona, M., Gegenheimer, B., Liu, R., Simon, A.: Phys. Rev. B37, 9860 (1988)Google Scholar
  8. 8.
    Krantz, M., Rosen, H.J., Macfarlane, R.M., Lee, V.Y.: Phys. Rev. B38, 4992 (1988)Google Scholar
  9. 9.
    Ruf, T., Thomsen, C., Liu, R., Cardona, M.: Phys. Rev. B38, 11985 (1988)Google Scholar
  10. 10.
    Genzel, L., Wittlin, A., Bauer, M., Cardona, M., Schönherr, E., Simon, A.: Phys. Rev. B (in press)Google Scholar
  11. 11.
    Thomsen C., Cardona, M.: In Physical properties of high-temperature superconductors. Ginsberg, D.M. (ed.). Singapore: World Scientific 1989Google Scholar
  12. 12.
    Feile, R.: Physica C159, 1 (1989)Google Scholar
  13. 13.
    Zeyher, R., Zwicknagl, G.: Solid State Commun.66, 617 (1988)Google Scholar
  14. 14.
    Horn, P.M., Keane, D.T., Held, G.A. Jordan-Sweet, J.L., Kaiser, D.L., Holtzberg, F., Rice, T.M.: Phys. Rev. Lett.59, 2772 (1987)Google Scholar
  15. 15.
    Francois, M., Junod, A., Yvon, K., Hewat, A.W., Capponi, J.J., Strobel, P., Marezio, M., Fischer, P.: Solid State Commun.66, 1117 (1988)Google Scholar
  16. 16.
    For a review, see, for instance, Scalapino, D.J.: In: Superconductivity. Parks, R.D., (ed.), Vol. 1, Chap. 10, New York: Marcel Dekker 1969Google Scholar
  17. 17.
    Allen, P.B., Mitrovic, B.: Solid State Phys.37, 1 (1982)Google Scholar
  18. 18.
    Schrieffer, J.R.: Theory of superconductors. Reading: W.A. Benjamin 1986Google Scholar
  19. 19.
    Littlewood, P.B., Varma, C.M. Phys. Rev. B26, 4883 (1982)Google Scholar
  20. 20.
    Gröbner, W. Hofreiter, N.: Integraltafel, Zweiter Teil, 4. Aufl. Springer-Verlag, Berlin, Heidelberg, New York 1966Google Scholar
  21. 21.
    Renker, B., Gompf, F., Gering, E., Ewert, D., Rietschel, H., Dianoux, A.: Z. Phys. B-Condensed Matter73, 309 (1988)Google Scholar
  22. 22.
    Rammer, J.: In studies of high temperature superconductors. Narlikar, A.V. (ed.). Commack: Nova Science Publishers 1989Google Scholar
  23. 23.
    Vidberg, H.J., Serene, J.W.: J. Low Temp. Phys.29, 179 (1977)Google Scholar
  24. 24.
    Zallen, R.: The physics of amorphous solids, chap. 4.7. New York: John Wiley and Sons 1983Google Scholar
  25. 25.
    Balseiro, C.A. Falikov, L.M.: Phys. Rev. Lett.45, 662 (1980)Google Scholar
  26. 26.
    Zwicknagl, G., Zeyher, R.: In: Superconductivity in d- and f-band metals. Proc. of the IV Conf Buckel, G.W., Weber, W. (ed.), p. 549 Kernforschungszentrum Karlsruhe, FRG (1982)Google Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • R. Zeyher
    • 1
  • G. Zwicknagl
    • 1
    • 2
  1. 1.Max-Planck-Institut für FestkörperforschungStuttgartGermany
  2. 2.Institut für FestkörperphysikTechnische Hochschule DarmstadtDarmstadtGermany

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