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

We theoretically analyse D.C. resistivity($ρ$) in the Kondo-lattice model using the powerful memory function approach. The complete temperature evolution of $ρ$ 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 ($k_B T<<μ_d$), where $μ_d$ is the effective chemical potential of $d$-electrons. In the high temperature regime $(μ_d<<k_B T)$ we discover that $ρ\propto T^{\frac{3}{2}}$. The worked out theory is quantitatively compared with experimental data and reasonably good agreement is found.