Quantum Monte Carlo study of nonequilibrium transport through a quantum dot coupled to normal and superconducting leads

TL;DR

This study uses a quantum Monte Carlo method to analyze nonequilibrium transport in a quantum dot system connected to normal and superconducting leads, revealing how interactions influence current and correlations.

Contribution

It introduces a weak-coupling continuous-time Monte Carlo approach to examine steady and transient transport phenomena in quantum dot systems with superconducting and normal leads.

Findings

Interaction reduces current in Kondo-dominant regimes.

Coulomb interaction increases current when coupled to superconducting lead.

Transient currents are affected by interaction quenches.

Abstract

We investigate the nonequilibrium phenomena through the quantum dot coupled to the normal and superconducting leads using a weak-coupling continuous-time Monte Carlo method. Calculating the time evolution of particle number, double occupancy, and pairing correlation at the quantum dot, we discuss how the system approaches the steady state. We also deduce the steady current through the quantum dot beyond the linear response region. It is clarified that the interaction decreases the current in the Kondo-singlet dominant region. On the other hand, when the quantum dot is tightly coupled to the superconducting lead, the current is increased by the introduction of the Coulomb interaction, which originates from the competition between the Kondo and proximity effects. Transient currents induced by the interaction quench are also addressed.