Abstract
An attempt is made to explain the occurrence of superconductivity in Kondo lattice systems with special reference to CeCu2Si2. Starting point is the Fermi liquid approach. It is generalized from a Kondo impurity to the Kondo lattice by means of the Korringa-Kohn-Rostocker method. From it a hybridization model is derived and discussed in detail. Two electron-phonon mechanisms are investigated which appear in Kondo lattices. One results from the additional phase shifts caused by the Kondo ions while the other is responsible for the so-called Kondo volume collapse. It is shown that the latter is sufficiently strong in order to explain why CeCu2Si2 is a superconductor while LaCu2Si2 is not. An estimate for the superconducting transition temperatureT c produces the right order of magnitude.
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Steglich, F., Aarts, J., Bredl, C.D., Lieke, W., Meschede, D., Franz, W., Schäfer, H.: Phys. Rev. Lett.43, 1892 (1979)
Rauchschwalbe, U., Lieke, W., Bredl, C.D., Steglich, F., Aarts, J., Martini, K.M., Mota, A.C.: Phys. Rev. Lett.49, 1448 (1982)
Lieke, W., Rauchschwalbe, U., Bredl, C.D., Steglich, F., Aarts, J., Boer, F.R. de: J. Appl. Phys.53, 2111 (1982)
Aliev, G., Brandt, N.B., Moshchalkov, V.V., Chudinov, S.M.: Solid State Commun.45, 215 (1983)
Ishikawa, M., Braun, H.F., Jorda, J.L.: Phys. Rev. B27, 3092 (1983)
Ott, H.R., Rudigier, H., Fisk, Z., Smith, J.L.: Phys. Rev. Lett.50, 1595 (1983)
Long, L.E. De, Huber, J.G., Yang, K.N., Maple, M.B.: Phys. Rev. Lett.51, 312 (1983)
Horn, S., Holland-Moritz, E., Loewenhaupt, M., Steglich, F., Scheuer, H., Benoit, A., Foulquet, J.: Phys. Rev. B23, 3171 (1981)
Lacroix, C., Cyrot, M.: Phys. Rev. B20, 1969 (1979)
Lavagna, M., Lacroix, C., Cyrot, M.: In: Valence instabilities. Wachter, P., Boffart, H. (eds.). Amsterdam, New York: North-Holland Publ. Comp. 1982
Jullien, R., Pfeuty, P., Bhattacherjee, A.K., Coqblin, B.: J. Appl. Phys.50, 7555 (1979)
For recent theoretical developments see: Proceedings of the Nato Advanced Summer Institute on the Formation of Local Moments in Metals 1983. Buyers, W. (ed.). New York: Plenum Press (to appear) where yet unpublished work of Coleman, P., Kuramoto, Y., Schlottmann, P. is described
Nozières, P.: J. Low Temp. Phys.17, 31 (1974) and J. Phys. (Paris)39, 1117 (1978)
Nozières, P., Blandin, A.: J. Phys. (Paris)41, 193 (1980)
Newns, D.M., Hewson, A.C.: J. Phys. F10, 2429 (1980)
Discussion remark by D.M. Newns at the NATO Advanced Summer Institute on the “Formation of local moments in metals” Vancouver Island, 1983
Heine, V.: Phys. Rev.153, 673 (1967)
Pettifor, D.G.: J. Phys. C5, 97 (1972)
Friedel, J.: In: Proceedings of the International School of Physics, Enrico Fermi Course 37. Marshall, W. (ed.). New York, London: Academic Press 1967
Anderson, P.W., McMillan, W.L.: In: Proceedings of the International Summer School of Physics, Enrico Fermi. Course 37. Marshall, W. (ed.). New York, London: Academic Press 1967
For a review see Dimmock, J.O.: In: Solid State Physics. Ehrenreich, H., Seitz, F., Turnbull, D. (eds.), Vol. 26, p. 103. New York, London: Academic Press 1971 which also contains a complete list of references
Gaspari, G.D., Gyorffy, B.L.: Phys. Rev. Lett.28, 801 (1972)
Evans, R., Gaspari, G.D., Gyorffy, B.L.: J. Phys. F3, 39 (1973)
Gomersall, I.R., Gyorffy, B.L.: J. Phys. F4, 1204 (1973)
Rietschel, H.: Z. Phys. B — Condensed Matter30, 271 (1978)
Varma, C.M., Blount, E.I., Vashista, P., Weber, W.: Phys. Rev. B19, 6130 (1979)
Schilling, J.S.: Adv. Phys.28, 657 (1979)
Maple, M.B.: Appl. Phys.9, 179 (1976)
Grier, B.H., Shapiro, S.M., Majkrzak, C.F., Parks, R.D.: Phys. Rev. Lett.45, 666 (1980)
Allen, J.W., Martin, R.: Phys. Rev. Lett.49, 1106 (1982); J. Magn. Magn. Mater.31–34, 473 (1983)
Thompson, J.D., Fisk, Z., Lawrence, J.M., Smith, J.L., Martin, R.: Phys. Rev. Lett.50, 1081 (1983); see also Lavagna, M., Lacroix, C., Cyrot, M.: J. Phys. F13, 1007 (1983)
Entel, P., Grewe, N., Sietz, M., Kowalski, K.: Phys. Rev. Lett.43, 2002 (1979)
Wilson, K.G.: Rev. Mod. Phys.47, 773 (1975)
Andrei, N., Furuya, K., Loewenstein, J.H.: Rev. Mod. Phys.55, 331 (1983), this paper contains a complete list of references including the work of Wiegmann et al.
Ziman, J.M.: Proc. Phys. Soc. (London)86, 337 (1965)
Slater, J.: Phys. Rev.145, 599 (1966)
Rainer, D.: PHD thesis, University of Saarbrücken (1966)
McMillan, W.L.: Phys. Rev.167, 331 (1968)
Allen, P.B., Mitrovic, B.: In: Solid State Physics. Ehrenreich, H., Seitz, F., Turnbull, D. (eds.), Vol. 37, p. 1. New York, London: Academic Press 1982
Matsuura, T., Nagaoka, Y.: Solid State Commun.18, 1583 (1976), see also Yoshida, K., Yamada, K.: Prog. Theor. Phys.53, 1286 (1975)
Müller-Hartmann, E., Zittartz, J.: Phys. Rev. Lett.26, 428 (1971)
Horsch, P., Rietschel, H.: Z. Phys. B — Condensed Matter27, 153 (1977)
Bardeen, J., Shockley, W.: Phys. Rev.80, 72 (1950)
see e.g. Gennes, P.G. de: Superconductivity of Metals and Alloys. New York, Amsterdam: W.A. Benjamin Inc. 1966
Tachiki, M., Maekawa, S.: (to be published)
Yoshimori, A., Kasai, H.: J. Magn. Magn. Mater.31–34, 475 (1983)
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Razafimandimby, H., Fulde, P. & Keller, J. On the theory of superconductivity in Kondo lattice systems. Z. Physik B - Condensed Matter 54, 111–120 (1984). https://doi.org/10.1007/BF01388062
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DOI: https://doi.org/10.1007/BF01388062