Theoretical study on the anomalous electrical resistivity in the Kondo lattice intermetallic compound

Abstract

A canonical transformation which is an extension of the Schrieffer-Wolff transformation is used to relate the Anderson lattice Hamiltonian with f-f electron coupling to that of the Kondo lattice. An important feature of our resultant Kondo lattice Hamiltonian is that only the spin-flip scattering between the conduction electron and the f electron exists under the assumption of neglecting the f-electron density fluctuation on the conduction electron. Based on the Kondo lattice Hamiltonian a simplified model Hamiltonian has been suggested to calculate the anomalous temperature dependence of the electrical resistivity in the Kondo lattice intermetallic compounds (e.g. CeAl 3, CeCu 6). The Green's functions for the conduction electron have been calculated by the equation of motion approach. Following the decoupling procedure introduced by Nagaoka and Hamann's approximation for the singular integrations we have obtained a nonlinear differential equation for the t-matrix, t r( z), which has been solved by numerical calculations. The result is consistent with the experimental data of CeCu 6.