Kondo Effect of a Vibrating Magnetic Impurity
Satoshi Yashiki, Shunsuke Kirino, Kazuo Ueda

TL;DR
This paper introduces a generalized Anderson model for a vibrating magnetic impurity, revealing complex Kondo effects including phonon-assisted p-wave and Yu-Anderson types, and analyzing their fixed points via numerical renormalization group methods.
Contribution
It formulates a new model incorporating vibrational effects into magnetic impurities and explores the resulting diverse Kondo phenomena using advanced numerical techniques.
Findings
Identification of phonon-assisted p-wave Kondo effect.
Demonstration that s-wave and Yu-Anderson Kondo belong to same fixed point.
Discovery of a fixed point line indicating two-channel Kondo effect.
Abstract
A generalized Anderson model for a magnetic ion in a harmonic potential is formulated. The model is investigated by the numerical renormalization group(NRG) method. In addition to the conventional s-wave screening, the model exhibits phonon assisted p-wave Kondo effect as well as Yu and Anderson type Kondo effect. It is shown that the s-wave Kondo and the Yu-Anderson Kondo belong to the same fixed point. At the boundary between the s-wave and p-wave Kondo regions line of fixed points of the two channel Kondo effect is identified.
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