# Universal Non-equilibrium I-V Curve Near Two-channel Kondo-Luttinger Quantum Critical Point

## TL;DR

This paper provides an analytical description of the universal non-equilibrium I-V characteristics near a quantum critical point in a two-channel Kondo-Luttinger system, advancing understanding of non-Fermi liquid behavior in quantum critical systems.

## Contribution

It introduces a controlled analytical approach to study the non-equilibrium behavior near a two-channel Kondo quantum critical point with interacting leads.

## Key findings

- Derived an analytical universal form for the differential conductance near the quantum critical point.
- Identified the impact of electron interactions on the Kondo impurity's non-equilibrium transport.
- Discussed relevance to recent experimental observations in dissipative quantum dots.

## Abstract

The Fermi liquid paradigm for metals has contributed enormously to our understanding of condensed matter systems. However a growing number of quantum critical systems have been shown to exhibit non Fermi liquid behavior. A full understanding of such systems is still lacking and in particular analytical results away from equilibrium are rare. In this work, we provide a distinct example of such kind in a two channel Kondo Luttinger model where a Kondo impurity couples to two voltage biased interacting electron leads, experimentally realizable in a dissipative quantum dot. An exotic quantum phase transition has been known to exist for two decades from the one channel to two channel Kondo ground states by enhancing electron interactions in the leads, but a controlled theoretical approach to this quantum critical point has not yet been established. We present a controlled method to this problem and obtain an analytical form for the universal nonequilibrium differential conductance near the transition. The relevance of our results for recent experiments is discussed.