Abstract
To describe the electronic properties of mixed valence compounds we study the periodic Anderson model within the frame of the alloy analog approximation. In this approach the model Hamiltonian is replaced by the sum of two single-particle alloy Hamiltonians the parameters of which have to be determined self-consistently. The alloy problem is solved within the coherent potential approximation. In contrast to other treatments of the periodic Anderson model this approximation scheme is exact in both trivially solvable limits of vanishing hybridization and Coulomb repulsion, respectively. For model parameters corresponding to a mixed valence situation only nonmagnetic solutions of the self-consistency equations exist. After discussing the limit of small hybridization analytically we numerically calculate the magnetic susceptibility and the electronic specific heat as a function of temperature for realistic values of the hybridization and Coulomb repulsion. The results are in very good qualitative agreement with experimental data.
Similar content being viewed by others
References
For an experimental review see: Wohlleben, D., Coles, B.R.: MagnetismV, H. Suhl (ed.). New York: Academic Press 1973. Wohlleben, D.: Journ. de Phys. Coll37, C4-231 (1976)
For a theoretical review see: Jefferson, J.H., Stevens, K.W.: J. Phys. C: Solid St. Phys.11, 3919 (1978)
Anderson, P.W.: Phys. Rev.124, 41 (1961)
Bringer, A., Lustfeld, H.: Z. Physik B28, 213 (1977) Lustfeld, H., Bringer, A.: Solid State Commun.28, 119 (1978)
Leder, H.J., Mühlschlegel, B.: Z. Physik B29, 341 (1978)
Varma, C.M., Yafet, Y.: Phys. Rev. B13, 2950 (1976)
Entel, P., Leder, H.J., Grewe, N.: Z. Physik B30, 277 (1978) Grewe, N., Entel, P., Leder, H.J.: Z. Physik B30, 393 (1978) Entel, P., Leder, H.J.: Z. Physik B32, 93 (1978) Grewe, N., Entel, P.: to be published in Z. Physik B
Hubbard, J.: Proc. Roy. Soc. A281, 401 (1964)
Fukuyama, H., Ehrenreich, H.: Phys. Rev. B7, 3266 (1973)
Brouers, F., Ducastelle, F.: Journ. de Phys.36, 851 (1975) Brouers, F., Ducastelle, F., Giner, J.: Journ. de Phys.37, 1427 (1976)
Brandt, U., Groß, W.: Z. Physik270, 229 (1974); B25, 177 (1976) Groß, W., Brandt, U.: Z. Physik B24, 129 (1976); B28, 31 (1977)
Lacroix-Lyon-Caen, C., Cyrot, M.: Solid State Commun.21, 837 (1977)
Ghatak, S.K., Avignon, M., Bennemann, K.H.: Journ. de Phys. Coll.37, C4–289 (1976); J. Phys. F: Metal Phys.6, 1441 (1976)
Sakai, O., Seki, S., Tachiki, M.: Journ. Phys. Soc. Japan45, 1465 (1978)
Velický, B., Kirkpatrick, S., Ehrenreich, H.: Phys. Rev.175, 747 (1968)
Levin, K., Ehrenreich, H.: Phys. Rev. B3, 4172 (1971)
Avignon, M., Ghatak, S.K.: Solid State Commun.16, 1243 (1975)
For the same reason the alloy treatment of a slightly different model by Ghatak and coworkers [13] yields the same results as their previous Hartree-Fock approximation [17]
Alascio, B., Lopez, A., Olmedo, C.F.E.: J. Phys. F: Metal Phys.3, 1324 (1973)
Junod, A., Pott, R., Schefzyk, R., Wohlleben, D.: to be published
Aveline, I., Iglesias-Sicardi, J.R.: preprint
Mattens, W.C.M., Elenbaas, R.A., de Boer, F.R.: Commun. on Phys.2, 147 (1947)
Klaasse, J.C.P.: Thesis, University of Amsterdam (1977)
Author information
Authors and Affiliations
Additional information
Work performed within the research program of the Sonderforschungsbereich 125 Aachen/Jülich/Köln
Rights and permissions
About this article
Cite this article
Leder, H.J., Czycholl, G. Self-consistent alloy treatment of the periodic anderson model: Susceptibility and specific heat of intermediate valence compounds. Z Physik B 35, 7–14 (1979). https://doi.org/10.1007/BF01322076
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01322076