A theory of resistivity in Kondo lattice materials: the memory function approach

Abstract

We theoretically analyse D.C. resistivity($\rho$) in the Kondo-lattice model using the powerful memory function approach. The complete temperature evolution of $\rho$ is investigated using the Wölfle-Götze expansion of the memory function. The resistivity in this model originates due to spin-flip magnetic scattering of conduction $s$-electron off the quasi-localized $d$ or $f$ electron spins. We find the famous resistivity upturn at lower temperature regime ($k_{B}T<<{\mu }_d$), where ${\mu }_d$ is the effective chemical potential of $d$-electrons. In the high temperature regime $({\mu }_d<<k_{B}T)$ we discover that $\rho \propto T^{\frac{3}{2}}$. The worked out theory is quantitatively compared with experimental data and reasonably good agreement is found.

16 pages, and 4 figures