Low Temperature Behavior of the Kondo Effect in Tomonaga-Luttinger Liquid

TL;DR

This paper investigates how the Kondo effect behaves at low temperatures in a Tomonaga-Luttinger liquid, revealing that impurity susceptibility follows a power law influenced solely by spin interactions.

Contribution

It demonstrates that the temperature dependence of impurity susceptibility is governed only by spin channel interactions, independent of charge channel interactions, in the Tomonaga-Luttinger liquid.

Findings

Impurity susceptibility exhibits power law temperature dependence.

Spin interactions solely determine the low-temperature behavior.

Charge interactions do not affect the impurity susceptibility's temperature dependence.

Abstract

Using the bosonization method, we study the low temperature behavior of the Kondo effect in the Tomonaga-Luttinger liquid and clearly show that the power law temperature dependence of the impurity susceptibility is completely determined by the repulsive electron-electron interaction existing in the total spin channel and is independent of the electron-electron interaction existing in the charge channels.