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Theory of the resistivity of heavy-fermion compounds

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Zeitschrift für Physik B Condensed Matter

Abstract

We calculate the resistivity of the Anderson lattice as a model for heavy-fermion compounds in a semi-phenomenological theory. In this theory, the resistivity is expressed by the dynamical susceptibility which describes spin fluctuations and can be measured by means of neutron scattering. The Kondo effect is taken into account for a singlef-electron spin which is coupled to all other spins and to the conduction electrons. This approach neglects multiple intersite-scattering of the conduction electrons and leads to an expression in which the Kondo resistivity of independent spins is multiplied by a factor which describes the spin dynamics. Here, the influence of the spin interactions on the Kondo effect has been taken into account in the simplest approximation only. This factor leads at high temperatures only to a small modification of the Kondo effect but at low temperatures for the Andersonor Kondo-lattice to aT 2-law in the resistivity which scales with the Kondo temperatureT K. Deviations from thisT 2-law are predicted at temperatures of the orderT=0.2T K for Ce-compounds.

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  1. Institut für Festkörperforschung, Kernforschungsanlage Jülich, Postfach 1913, D-5170, Jülich 1, Federal Republic of Germany

    K. H. Fischer

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Fischer, K.H. Theory of the resistivity of heavy-fermion compounds. Z. Physik B - Condensed Matter 74, 475–486 (1989). https://doi.org/10.1007/BF01311394

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