# Quantum Criticality in Resonant Andreev Conduction

## TL;DR

This paper investigates quantum critical behavior in a mesoscopic superconductor-normal lead system, showing it maps to the two-channel Kondo model and can reach quantum criticality through tuning experimental parameters.

## Contribution

It reveals that proximitized nanowire systems can be described by the two-channel Kondo model and can be tuned to quantum criticality via gate potential and contact conductances.

## Key findings

- System described by two-channel Kondo model at low energies
- Quantum critical regime accessible by tuning gate and conductances
- Potential experimental realization in nanowire systems

## Abstract

Motivated by recent experiments with proximitized nanowires, we study a mesoscopic s-wave superconductor connected via point contacts to normal-state leads. We demonstrate that at energies below the charging energy the system is described by the two-channel Kondo model, which can be brought to the quantum critical regime by varying the gate potential and conductances of the contacts.