Abstract
The influence of Fermi surface anisotropy on the superconducting transition temperature of strong coupling superconductors containing magnetic and nonmagnetic impurities is investigated. It is found that the concentration dependent transition temperature shows typical departures from the corresponding curve of a single-band isotropic superconductor. These departures occur either for very small (τ ij→∞) or for very large (τ ij→0) interband scattering of conduction electrons on nonmagnetic impurities (i, j label the states in different bands or in different zones of the Fermi surface). In the case of unequal cut-off frequencies for different zones on the Fermi surface it is shown that all effects of unequal cut-offs can be eliminated by introducing effective electron-phonon pairing interactions. In the presence of impurities these effective pairing interactions become weakly impurity dependent giving rise to a new pair-weakening mechanism. Quantitative results on the basis of a simple two-band or two-zone model are presented.
Similar content being viewed by others
References
Abrikosov, A.A., Gor'kov, L.P.: Soviet Phys. JETP12, 1243 (1961)
For references we refer to the review article: Müller-Hartmann, E.: In Magnetism, Vol. V, ed. by H. Suhl, New York and London: Academic Press 1973
Fulde, P., Hoenig, H.E.: Solid State Commun.8, 341 (1970)
Bennemann, K.H.: Phys. Rev. Lett.17, 438 (1966)
Rainer, D.: Z. Physik252, 174 (1972)
Entel, P., Klose, W.: J. Low Temp. Phys.17, 529 (1974)
Suhl, H., Matthias, B.T., Walker, L.R.: Phys. Rev. Lett.3, 552 (1959)
Soda, T., Wada, Y.: Progr. Theor. Phys.36, 1111 (1966)
Moskalenko, V.A., Palistrant, M.E.: Sov. Phys. JETP22, 536 (1966)
Moskalenko, V.A., Kon, L.Z.: Sov. Phys. JETP23, 479 (1966)
Moskalenko, V.A., Palistrant, M.E.: In: Statistical Physics and Quantum Field Theory, Moscow, Nauka (1973)
Will, P., Brusberg, M.: J. Low Temp. Phys.18, 196 (1975)
See for example: Sung, C.C., Wong, V.K.: J. Phys. Chem. Solids28, 1933 (1967); Carsey, F., Kagiwada, R., Levy, M., Maki, K.: Phys. Rev. B4, 854 (1971)
Entel, P., Klose, W., Fischer, Ø., Bongi, G.: Z. Physik B21, 363 (1975)
Markowitz, D., Kadanoff, L.P.: Phys. Rev.131, 563 (1963)
McMillan, W.L.: Phys. Rev.167, 331 (1967)
Zimmermeyer, G.: Thesis, Köln (1975), unpublished
Scalapino, D.J., Schrieffer, J.R., Wilkins, J.W.: Phys. Rev.148, 263 (1966)
Anderson, J.R., Gold, V.A.: Phys. Rev. A139, 1459 (1965)
Bennett, A.J.: Phys. Rev. A140, 1902 (1965)
Hertel, P.: Z. Physik248, 272 (1971)
Entel, P., Rainer, D.: J. Low Temp. Phys.23, 511 (1976)
Entel, P., Crisan, M., Bongi, G., Klose, W.: J. Low Temp. Phys.23, 157 (1976)
Hauser, J.J., Robbins, M., Di Salvo, F.J.: Phys. Rev. B8, 1038 (1973)
Morris, R.C., Coleman, R.V.: Phys. Letters43A, 11 (1973)
Vaccarone, R., Morozzo della Rocca, Pilot, A., Vivaldi, F., Rizzuto, C.: Solid State Commun.12, 885 (1973)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Entel, P. Anisotropy effects in superconductors with magnetic impurities. I. Z Physik B 23, 321–330 (1976). https://doi.org/10.1007/BF01316542
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01316542