Friedel oscillations of Kondo impurities: A comparison

TL;DR

This paper compares two computational methods, NRG and FAIR, to analyze Friedel oscillations caused by Kondo impurities, confirming the development of oscillations with a specific phase shift outside the Kondo radius.

Contribution

It introduces the FAIR method for calculating Friedel oscillations and compares its results with the established NRG approach.

Findings

Friedel oscillations develop with a pi/2 phase shift outside the Kondo radius.

FAIR method produces results consistent with NRG calculations.

Confirmation of oscillation development pattern around Kondo impurities.

Abstract

Recently Affleck et al. derived the existence of Friedel oscillations in the presence of a Kondo impurity. They supported their analytic derivation by numerical calculations using Wilson's renormalization approach (NRG). In this paper the size of the Friedel oscillations is calculated with the FAIR method (Friedel Artificially Inserted Resonance) which has been recently developed. The results of NRG and FAIR are compared. The development of Friedel oscillations with a phase shift of pi/2 outside of the Kondo radius is confirmed.