Friedel Oscillation about a Friedel-Anderson Impurity

TL;DR

This paper numerically investigates Friedel oscillations near a Friedel-Anderson impurity, revealing an S-shaped amplitude behavior and a correlation between resonance width, Kondo energy, and oscillation length.

Contribution

It demonstrates a surprising similarity in Friedel oscillation behavior between interacting FA impurities and non-interacting resonances, linking physical parameters.

Findings

Amplitude A(ξ) is S-shaped, approaching 2 at large distances.

Resonance width correlates with the characteristic length ξ_{1/2}.

Similar oscillation behavior observed in non-interacting and interacting impurities.

Abstract

The Friedel oscillations in the vicinity of a Friedel-Anderson (FA) impurity are investigated numerically. For an FA impurity in the local moment limit the normalized amplitude A({\xi}) is S-shaped, approximately zero at short distances, approaching two at large distances and crossing the value one at the characteristic length {\xi}_{1/2}. Surprisingly, the Friedel oscillations of a simple non-interacting Friedel impurity with a narrow resonance at the Fermi level show a very similar behavior of their amplitude A({\xi}). A comparison correlates the resonance width and the Kondo energy of the FA impurity with the characteristic length {\xi}_{1/2} of the Friedel oscillations.