Comments on the thermoelectric power of the f-electron metallic compounds

Abstract

The anomalous temperature variation of the thermoelectric power in the f-electron metallic compounds, namely the sign reversal or the maxima, is sometimes interpreted as resulting from the conduction electrons scattering in Born approximation on the acoustic phonons and on the localized spins in the s-f exchange interaction. The experimenters rely on the results of some theoretical works where such thermoelectric power behavior was obtained within these simple models. In the present paper we prove that neither the electron-phonon scattering nor the magnetic s-f scattering in the Born approximation (nor both of them) do lead to the effects mentioned above.

Crystal field influence on the thermal conductivity of the rare-earth metallic paramagnets

“…We have proved incorrectness of the formula for S ph 30,31 in Ref. [32]. 2m v 2 s is the energy of electron of the wave vector q s = 2mv s / , where v s is the sound velocity averaged over directions in a crystal.…”

“…We will calculate the scattering matrix elements P mag ij i, j = 1, 2 (A3) with the use of the base functions (A4) in the way described in Ref. [32], based on the property of C mag (k ′ , k) being even function with k and with k ′ . This property, similarly as in the case of electronimpurity scattering ensures the existence of the relaxation time solution of the transport equation 34 , the same for the charge and heat transport.…”

“…For α = mag, imp , we use the form S α = −π 2 k B (k B T )/(3eε F ), which can be derived, with the scattering matrix elements (B3) in the case α = imp, and the elements (C3) in the case α = mag, in the same way as it has been done in Ref. [32] for the conduction electron scattering on the magnetic levels of 4f-electrons in the molecular field. Substituting in (A6) the scattering matrix elements (B3) and (C3) we get for the both considered cases…”