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.
@article{arxiv.1807.10339,
title = {Interplay between Josephson and Aharonov-Bohm effects in Andreev interferometers},
author = {Pavel E. Dolgirev and Mikhail S. Kalenkov and Andrei D. Zaikin},
journal= {arXiv preprint arXiv:1807.10339},
year = {2020}
}