Effect of conduction electron interactions on Anderson impurities

TL;DR

This paper investigates how conduction electron interactions influence Anderson impurities in one dimension, revealing distinct behaviors from Kondo impurities and complex effects on the Kondo temperature.

Contribution

It introduces a scaling approach to analyze conduction electron interactions on Anderson impurities, highlighting differences from Kondo impurity behavior.

Findings

Kondo temperature shows nonmonotonous behavior with interaction strength

Anderson impurity behavior differs from Kondo impurity even in local moment region

Interaction effects are analyzed using numerical renormalization group equations

Abstract

The effect of conduction electron interactions for an Anderson impurity is investigated in one dimension using a scaling approach. The flow diagrams are obtained by solving the renormalization group equations numerically. It is found that the Anderson impurity case is different from its counterpart -- the Kondo impurity case even in the local moment region. The Kondo temperature for an Anderson impurity shows nonmonotonous behavior, increasing for weak interactions but decreasing for strong interactions. The implication of the study to other related impurity models is also discussed.