Charge Kondo circuit as a detector for electron-electron interactions in a Luttinger Liquid

TL;DR

This paper studies how electron-electron interactions in a Luttinger liquid affect quantum transport in a charge Kondo circuit, proposing a method to measure interaction strength via conductance scaling.

Contribution

It introduces a novel approach to detect electron-electron interactions in a Luttinger liquid using a charge Kondo circuit and analyzes the conductance behavior near the two-channel Kondo fixed point.

Findings

Interaction strength can be inferred from power-law conductance scaling.

The interplay reveals non-Fermi liquid behavior signatures.

The setup provides a new way to probe Luttinger liquid properties.

Abstract

We investigate the effects of the electron-electron interactions on the quantum transport through a charge Kondo circuit. The setup consists of a quantum dot sandwiched between two leads by two nearly transparent single mode quantum point contacts. The size of the interacting area $L$ in the Luttinger liquid formed in the vicinities of the narrow constrictions is assumed to be much smaller compared to the size of the quantum dot $a$. We predict that the interplay between the electron-electron interactions in the Luttinger liquid and the fingerprints of the non-Fermi liquid behavior in the vicinity of the two channel Kondo intermediate coupling fixed point allows one to determine the interaction strength through the power-law temperature scaling of the electric conductance.