Transport Properties of the Kondo Lattice Model in the Limit $S=\infty$ and $D=\infty$

TL;DR

This paper analyzes the transport properties of the Kondo lattice model in the classical and infinite-dimensional limits, providing exact calculations that explain giant magnetoresistance in manganite compounds.

Contribution

It provides an exact solution for the Green's function and transport properties of the Kondo lattice model in the classical spin and infinite-dimensional limits.

Findings

Exact calculation of Green's function in the specified limits

Explanation of giant magnetoresistance via spin disorder scattering

Good agreement with experimental data on La$_{1-x}$Sr$_x$MnO$_3$

Abstract

The Kondo lattice model with Hund's ferromagnetic spin coupling is investigated as a microscopic model of the perovskite-type 3d transition-metal oxide La$_{1-x}$Sr$_x$MnO$_3$. In the classical spin limit $S=\infty$ and the infinite-dimensional limit $D=\infty$, the one-body Green's function is calculated exactly. Transport properties of the system in the presence of magnetic fields are calculated. The giant magnetoresistance of this model, which is in a good agreement with the experimental data of La$_{1-x}$Sr$_x$MnO$_3$, is explained by the spin disorder scattering process.