A number of recent experiments report the low-temperature thermopower $\alpha$ and specific heat coefficients $\gamma=C_V/T$ of strongly correlated electron systems. Describing the charge and heat transport in a thermoelectric by transport equations, and assuming that the charge current and the heat current densities are proportional to the number density of the charge carriers, we obtain a simple mean-field relationship between $\alpha$ and the entropy density $\cal S$ of the charge carriers. We discuss corrections to this mean-field formula and use results obtained for the periodic Anderson and the Falicov-Kimball models to explain the concentration (chemical pressure) and temperature dependence of $\alpha/\gamma T$ in EuCu$_2$(Ge$_{ 1-x}$Si$_x$)$_2$, CePt$_{ 1-x}$Ni$_x$, and YbIn$_{ 1-x}$Ag${ _x}$Cu$_4$ intermetallic compounds. % We also show, using the 'poor man's mapping' which approximates the periodic Anderson lattice by the single impurity Anderson model, that the seemingly complicated behavior of $\alpha(T)$ can be explained in simple terms and that the temperature dependence of $\alpha(T)$ at each doping level is consistent with the magnetic character of 4{ \it f} ions.

Categories: cond-mat.str-el

Relationship between the thermopower and entropy of strongly correlated electron systems