The Kondo effect in periodic narrow-band systems

TL;DR

This paper investigates the Kondo effect in narrow-band systems using Hubbard and s-d models, analyzing density of states, Green's function properties, and temperature effects on the Kondo peak.

Contribution

It introduces a detailed analysis of the Kondo effect in correlated electron systems with a focus on density of states and Green's function behavior.

Findings

Density of states shows a peak at the Fermi level.

Kondo peak smearing occurs due to spin dynamics and finite temperatures.

Various self-consistent approximations are employed to study the phenomena.

Abstract

The Kondo divergences owing to interaction of current carriers with local moments in highly correlated electron systems are considered within the Hubbard and s-d exchange models with infinitely strong on-site interaction, the many-electron Hubbard representation being used. The picture of density of states containing a peak at the Fermi level is obtained. Various forms of the self-consistent approximation are used. The problem of the violation of analytical properties of the Green's function is discussed. Smearing of the "Kondo" peak owing to spin dynamics and finite temperatures is investigated.