Abstract
We have generalized the McMillan-Rowell tunneling-inversion program, which extracts the electron-phonon spectral function α2 F(Ω) and the Coulomb pseudopotentialμ * from experimental tunneling data, to include the lowest-order effect of vertex corrections. In so doing, the momentum dependence of the electron-phonon matrix elements are neglected, which is equivalent to using a local approximation. The vertex-corrected strong-coupling perturbation theory is performed on the imaginary axis and then an exact analytic continuation is used to produce the density of states on the real axis. Comparison with the experimental data for Pb indicates that effects of vertex corrections may be observable even in low-temperature superconductors.
Similar content being viewed by others
References
A. B. Migdal, Zh. Eksp. Teor. Fiz.34, 1438 (1958) [Sov. Phys.-JETP7, 999 (1958)].
G. M. Eliashberg, Zh. Eksp. Teor. Fiz.38, 966 (1960) [Sov. Phys.-JETP11, 696 (1960)].
L. F. Mattheiss, et al., Phys. Rev. B37, 3745 (1988); R. J. Cava, et al., Nature322, 814 (1988).
A. F. Hebard et al., Nature350, 600 (1991); K. Holczer, et al., Science252, 1154 (1991); M.J. Rosseinsky et al., Phys. Rev. Lett.66, 2830 (1991).
M. Grabowski and L. J. Sham, Phys. Rev. B29, 6132 (1984).
V. N. Kostur and B. Mitrović, Phys. Rev. B48, 16388 (1993).
C. Grimaldi, et al., Phys. Rev. Lett.75, 1158 (1995).
J. K. Freericks and D. J. Scalapino, Phys. Rev. B49, 6368 (1994); J. K. Freericks, Phys. Rev. B50, 403 (1994); J. K. Freericks and Mark Jarrell, Phys. Rev.B 50, 6939 (1994); E. J. Nicol and J. K. Freericks, Physica C235–240, 2379 (1994).
W. L. McMillan and J. M. Rowell, Phys. Rev. Lett.14, 108 (1965); inSuperconductivity, edited by R. Parks (Marcel Dekker, Inc., New York, 1969), Vol. 1, p. 117.
Superconductivity, edited by R. Parks (Marcel Dekker, Inc., New York, 1969); P. B. Allen and B. Mitrović, Solid State Phys.37, 1 (1982); J. P. Carbotte, Rev. Mod. Phys.62, 1027 (1990).
Author information
Authors and Affiliations
Additional information
Supported by The Petroleum Research Fund and the Office of Naval Research (JKF), NSERC of Canada (FJN), the Luce Foundation (AYL), and DOE of the U.S.A. (AAQ)
Rights and permissions
About this article
Cite this article
Freericks, J.K., Nicol, E.J., Liu, A.Y. et al. Vertex-corrected tunneling inversion in superconductors. Czech J Phys 46 (Suppl 2), 603–604 (1996). https://doi.org/10.1007/BF02583609
Issue Date:
DOI: https://doi.org/10.1007/BF02583609