Interplay between Josephson and Aharonov-Bohm effects in Andreev interferometers

TL;DR

This paper investigates the complex interaction between Josephson and Aharonov-Bohm effects in hybrid superconducting nanostructures, revealing how non-equilibrium conditions influence quantum coherence and enabling potential control of quantum states.

Contribution

It provides new insights into the interplay of topological effects in multi-terminal hybrid structures and predicts phase-shifted oscillations of electrostatic potential under magnetic flux.

Findings

Voltage-driven Josephson current is enhanced by non-equilibrium effects.

Quantum dephasing reduces both Josephson and Aharonov-Bohm currents.

Electrostatic potential exhibits phase-shifted oscillations with magnetic flux.

Abstract

Proximity induced quantum coherence of electrons in multi-terminal voltage-driven hybrid normal-superconducting nanostructures may result in a non-trivial interplay between topology-dependent Josephson and Aharonov-Bohm effects. We elucidate a trade-off between stimulation of the voltage-dependent Josephson current due to non-equilibrium effects and quantum dephasing of quasiparticles causing reduction of both Josephson and Aharonov-Bohm currents. We also predict phase-shifted quantum coherent oscillations of the induced electrostatic potential as a function of the externally applied magnetic flux. Our results may be employed for engineering superconducting nanocircuits with controlled quantum properties.