Kondo Effect of a Magnetic Ion Vibrating in a Harmonic Potential

TL;DR

This paper investigates the Kondo effect in a magnetic ion vibrating within a harmonic potential, revealing new hybridization channels and complex interplay among different Kondo phenomena using numerical renormalization group analysis.

Contribution

It introduces a generalized Anderson model incorporating phonon-assisted hybridization and explores the resulting Kondo effects and phase diagram.

Findings

Identification of a new hybridization channel involving phonons.

Discovery of interplay among s-wave, p-wave, and Yu-Anderson Kondo effects.

Existence of two stable fixed points and realization of two-channel Kondo physics.

Abstract

To discuss Kondo effects of a magnetic ion vibrating in the sea of conduction electrons, a generalized Anderson model is derived. The model includes a new channel of hybridization associated with phonon emission or absorption. In the simplest case of the localized electron orbital with the s-wave symmetry, hybridization with p-waves becomes possible. Interesting interplay among the conventional s-wave Kondo effect and the p-wave one and the Yu-Anderson type Kondo effect is found and the ground state phase diagram is determined by using the numerical renormalization group method. Two different types of stable fixed points are identified and the two-channel Kondo fixed points are generically realized on the boundary.