Kondo Effect in a Metal with Correlated Conduction Electrons

TL;DR

This paper extends the large-degeneracy expansion for dilute magnetic alloys to include conduction electron interactions, analyzing how correlations influence the Kondo effect and low-energy excitations.

Contribution

It introduces a method to incorporate conduction electron correlations into the large-degeneracy expansion for magnetic alloys, focusing on hybridization renormalization.

Findings

Calculated the enhanced characteristic energy $k_BT_0$ for weakly correlated electrons.

Discussed the implications of strong correlations in the metallic regime.

Provided insights into the renormalization effects on low-energy excitations.

Abstract

The large-degeneracy expansion for dilute magnetic alloys is extended to account for conduction electrons interactions. Particular attention is paid to the renormalization of the hybridization vertex which affects the low-energy excitations. As a first example, we calculate the enhanced characteristic energy $k_BT_0$ in the limit of weakly correlated conduction electrons. The metallic regime with strongly correlated electrons is discussed.