Abstract
The influence of correlation effects on superconductivity in lanthanide and actinide compounds is investigated theoretically. As driving mechanism for the formation of heavy-fermion Cooper pairs different electron-phonon interactions are considered and discussed within the Anderson lattice model. The elimination of the bare electron-phonon interactions and a BCS-like truncation procedure lead to the appearance of different types of Cooper pairs. The stability of these Cooper pairs in the Kondo lattice state is studied by using a semi-phenomenological parameter which effectively describes the correlation off electrons. It is found that “hybrid pairing” is less important and that superconductivity of conduction andf electrons always occurs simultaneously. Furthermore, in the case of strongly correlatedf electrons a cross-over takes place from mainly heavy-fermion superconductivity to conduction electron superconductivity.
Similar content being viewed by others
References
Steglich, F., Aarts, J., Bredl, C.D., Lieke, W., Meschede, D., Franz, W., Schäfer, H.: Phys. Rev. Lett.43, 1892 (1979)
Stewart, G.R.: Rev. Mod. Phys.56, 755 (1984)
Varma, C.M.: Bull. Am. Phys. Soc.29, 857 (1984);30, 457 (1985)
Anderson, P.W.: Phys. Rev. B30, 1549 (1984)
Valls, O.T., Tsesenovic, Z.: Phys. Rev. Lett.53, 1497 (1984)
Miyake, K., Matsuura, T., Jichu, H., Nagaoka, Y.: Prog. Theor. Phys.72, 1063 (1984)
Ohkawa, F.J.: J. Phys. Soc. Jpn.53, 3577 (1984)
Hirsch, J.E.: Phys. Rev. Lett.54, 1317 (1985)
Steglich, F., Rauchschwalbe, U., Gottwick, U., Mayer, H.M., Sparn, G., Grewe, N., Poppe, U., Franse, J.J.M.: Preprint
Razafimandimby, H., Fulde, P., Keller, J.: Z. Phys. B-Condensed Matter54, 111 (1984)
Allen, J.W., Martin, R.M.: Phys. Rev. Lett.49, 1106 (1982)
Grewe, N.: Z. Phys. B-Condensed Matter56, 111 (1984)
Tachiki, M., Maekawa, S.: Phys. Rev. B29, 2497 (1984); Tachiki, M., Maekawa, S., Takahashi, S.: Phys. Rev. B31, 228 (1985)
Valadares, E.C., Troper, A., Menezes, O.L.T. de: Preprint
Schuh, B.: Phys. Status Solidi (b)131 (1985)
Grewe, N., Keiter, H.: Phys. Rev. B24, 4420 (1981)
Grewe, N.: Solid State Commun.50, 19 (1984)
Hubbard, J.: Proc. R. Soc. London Ser. A285, 542 (1965)
Entel, P., Leder, H.J., Grewe, N.: Z. Phys. B-Condensed Matter30, 277 (1978); Grewe, N., Entel, P., Leder, H.J.: Z. Phys. B-Condensed Matter30, 393 (1978)
Rainer, D.: PHD Thesis, University of Saarbrücken (1970)
Wiethege, W., Entel, P., Mühlschlegel, B.: Z. Phys. B-Condensed Matter47, 35 (1982); Fedro, A.J., Sinha, S.K.: In: Valence instabilities. Wachter, P., Boppart, H. (eds.), p. 371. Amsterdam, Oxford, New York: North-Holland Publ. Comp. 1982
Baumgärtel, H.G., Müller-Hartmann, E.: See second Ref. in [21],, p. 57.
Yamada, K.: Prog. Theor. Phys.53, 970 (1975)
Zielinski, J., Matlak, M.: Physica110 A, 624 (1982)
Stewart, G.R., Fisk, Z., Wire, M.S.: Phys. Rev. B30, 482 (1984)
Author information
Authors and Affiliations
Additional information
Dedicated to B. Mühlschlegel on the occasion of his 60th birthday
Rights and permissions
About this article
Cite this article
Entel, P., Zielinski, J. & Matschke, M. Cross-over effects in heavy-fermion superconductors. Z. Physik B - Condensed Matter 60, 283–291 (1985). https://doi.org/10.1007/BF01304448
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01304448