Eur. Phys. J. B (2012) 85: 42
https://doi.org/10.1140/epjb/e2011-20850-1

Regular Article

Friedel oscillation about a Friedel-Anderson impurity

Department of Physics & Astronomy University of Southern California Los Angeles, California 90089-0484, USA

^a e-mail: gerd.bergmann@gmail.com

Received: 18 October 2011
Received in final form: 20 November 2011
Published online: 23 January 2012

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(ξ) is S-shaped, approximately zero at short distances, approaching two at large distances and crossing the value one at the characteristic length ξ_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(ξ). A comparison correlates the resonance width and the Kondo energy of the FA impurity with the characteristic length ξ_1/2 of the Friedel oscillations.