Abstract
The McMillan–Rowell inversion of tunneling data has long served as one of the best methods for obtaining information about the microscopic interactions in a superconductor with strong electron–phonon interactions. In this contribution we outline a method designed to yield similar information, based on the optical conductivity. The precise inversion in this case is a more difficult problem than in tunneling. Fortunately, however, an approximate formula can be derived, which gives the inelastic scattering function, α2F(Ω), explicitly from the data. We apply this method to K3C60, and demonstrate that the electron–phonon interaction is sufficiently strong to support the superconductivity in this compound.
Similar content being viewed by others
REFERENCES
A. P. Ramirez, Superconduct. Rev. 1, 1 (1994); M. P. Gelfand, Superconduct. Rev. 1, 103 (1994); W. E. Pickett, Solid State Phys. 48, 226 (1994); M. S. Dresselhaus, G. Dresselhaus, and P. C. Eklund, Science of Fullerenes and Carbon Nanotubes (Academic Press, Toronto, 1996); C. H. Pennington and V. A. Stenger, Rev. Mod. Phys. 68, 855 (1996); O. Gunnarsson, Rev. Mod. Phys. 69, 575 (1997); L. Degiorgi, Adv. Phys. 47, 207 (1998), and references therein.
W. L. McMillan and J. M. Rowell, Phys. Rev. Lett. 14, 108 (1965).
A. A. Galkin, A. I. D'Yachenko, and V. M. Svistunov, Zh. Eksp. Teor. Fiz. 66, 2262 (1974); Sov. Phys. JETP 39, 1115 (1974).
W. L. McMillan and J. M. Rowell, in R. D. Parks, ed., Superconductivity, Vol. 1 (Marcel Dekker, New York, 1969), p. 561.
J. M. Rowell and R. C. Dynes, in M. A. Nusimovici ed., Phonons, Proceedings of the International Conference, Rennes, France (Flammarion Sciences, Paris, 1971), p. 150.
F. Marsiglio, T. Startseva, and J. P. Carbotte, Phys. Lett. A 245, 172 (1998).
J. Ostrick has performed some preliminary tunneling measurements on these systems (private communication).
P. B. Allen, Phys. Rev. B3, 305 (1971).
R. R. Joyce and P. L. Richards, Phys. Rev. Lett. 24, 1007 (1970).
B. Farnworth and T. Timusk, Phys. Rev. B10, 2799 (1974); ibid. B14, 5119 (1976).
W. A. Little, this conference.
L. Degiorgi, E. J. Nicol, O. Klein, G. Grüner, P. Wachter, S.-M. Huang, J. Wiley, and R. B. Kaner, Phys. Rev. B49, 7012 (1994); L. Degiorgi et al., Nature 369, 541 (1994).
F. Wooten, Optical Properties of Solids (Academic Press, New York, 1972).
L. Pintschovius, Rep. Prog. Phys. 57, 473 (1996).
A. S. Alexandrov and V. V. Kabanov, Phys. Rev. B54, 3655 (1996).
D. Koller, M. C. Martin, L. Mihaly, G. Mihaly, G. Oszanyi, G. Baumgartner, and L. Forro, Phys. Rev. Lett. 77, 4082 (1996).
Z. Zhang, C. Chen, and C. M. Lieber, Science 254, 1619 (1991).
F. Marsiglio, J. P. Carbotte, R. Akis, D. Achkir, and M. Poirier, Phys. Rev. B50, 7203 (1994); see also F. Marsiglio and J. P. Carbotte, Austr. J. Phys. 50, 1011 (1997).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Marsiglio1, F. Inversion of Optical Conductivity Data in Metals. Journal of Superconductivity 12, 163–167 (1999). https://doi.org/10.1023/A:1007766829839
Issue Date:
DOI: https://doi.org/10.1023/A:1007766829839