Abstract
We calculate the diffusion thermopower of the Anderson lattice as a model for heavyfermion compounds in a semi-phenomenological theory. In this theory, the thermopower is expressed by the dynamical susceptibility which describes spin fluctuations and can be measured by 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 intesite-scattering of the conduction electrons. We obtain a “Kondo” termS d(1) (T) (in which the thermopower of non-interacting spins is multiplied by a factor which describes the spin dynamics) and a “resonance” termS d(2) (T) of opposite sign which vanishes for vanishing interactions. The superposition of both terms leads to a broad maximum of the thermopower roughly at the Kondo temperatureT K and to an additional minimum belowT K . ForT→0 the termS d(1) vanishes asT 2 and the termS d(2) becomes proportional toT. We also show that the Sommerfeld expansion leads to an incorrect result for the low temperature resistivity of the Anderson lattice and that the Gorter-Nordheim relation does not hold at low temperatures.
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Fischer, K.H. Thermoelectric power of heavy-fermion compounds. Z. Physik B - Condensed Matter 76, 315–326 (1989). https://doi.org/10.1007/BF01321909
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DOI: https://doi.org/10.1007/BF01321909