Abstract
The phenomenon of Heavy Fermion Superconductivity in Kondo lattice systems is investigated via renormalized perturbation theory for the Anderson lattice model with inclusion of phonons. It is demonstrated how the conventional theory of superconductivity can be modified to take into account the coupling mediated by breathing of Rare Earth ions and the effect of strong local Coulomb correlations on these ions. The results give support to a recent theory of Razafimandimby, Fulde and Keller, which is based on an intermediate Fermi liquid picture.
This is a preview of subscription content, log in via an institution to check access.
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)
Ott, H.R., Rudigier, H., Fisk, Z., Smith, I.L.: Phys. Rev. Lett.50, 1595 (1983)
Tachiki, M., Maekawa, S.: Phys. Rev. B29, 2497 (1984)
Razafimandimby, H., Fulde, P., Keller, J.: Z. Phys. B — Condensed Matter54, 111 (1984)
Ott, H.R., Rudigier, H., Rice, T.M., Ueda, K., Fisk, Z., Smith, I.L.: Preprint
Anderson, P.W.: Preprint
Allen, J.W., Martin, R.M.: Phys. Rev. Lett.49, 1106 (1982); Lavagna, M., Lacroix, C., Cyrot, M.: Phys. Lett.90 A, 210 (1982)
Keiter, H., Kimball, J.C.: Int. J. Magn.1, 233 (1971)
Grewe, N., Keiter, J.: Phys. Rev. B24, 4420 (1981)
Grewe, N.: Z. Phys. B — Condensed Matter52, 193 (1983)
For a recent review article see: Keiter, H., Morandi, G.: Preprint
Bringer, A., Lustfeld, H.: Z. Phys. B — Condensed Matter22, 213 (1977)
Ramakrishnan, T.V., Sur, K.: Phys. Rev. B26, 1798 (1982)
Kuramoto, Y.: Z. Phys. B — Condensed Matter53, 37 (1983); (to appear)
Grewe, N.: Z. Phys. B — Condensed Matter53, 271 (1983)
Coleman, P.: Phys. Rev. B29, 3035 (1984)
Grewe, N.: Solid State Commun.50, 19 (1984)
Ambegaokar, V.: In: Superconductivity. Parks, R.D. (ed.), Vol. 1, Ch. 5. New York: Dekker 1969
Mook, H.A., Nicklow, R.M., Penney, T., Holtzberg, F., Shafer, M.W.: Phys. Rev. B18, 2925 (1978)
Grewe, N., Entel, P., Leder, H.J.: Z. Phys. B — Condensed Matter and Quanta30, 393 (1978); Z. Phys. B — Condensed Matter and Quanta33, 331 (1979)
Ghatak, S.K., Bennemann, K.H.: J. Phys. F8, 57 (1978)
Sherrington, D., Riseborough, P.: J. Phys. (Paris) Coll. C4, 255 (1978)
Hewson, A.C., Newns, D.M.: J. Phys. C12, 1665 (1976)
The (indirect) gap seen in the total density of renormalized conduction states is very roughly of order ξV 2 N F ≈Γ/π. It is assumed to be much smaller than Γ for this calculation, so that its lower edge—being the upper limit of integration—can approximately be set to η. An additional justification for this procedure could also make use of the effects mentioned in the end which tend to smear out the gap.
Migdal, A.B.: Sov. Phys. JETP34, 996 (1958)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Grewe, N. Heavy fermion superconductivity. Z. Physik B - Condensed Matter 56, 111–118 (1984). https://doi.org/10.1007/BF01469691
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01469691