Synthetic dimensions and topological chiral currents in mesoscopic rings

The recently introduced concept of synthetic dimensions allows for the realization of higher-dimensional topological phenomena in lower-dimensional systems. In this paper, we propose a setup where synthetic dimensions arise in mesoscopic hybrid devices and discuss how they provide a natural route to topological states. We demonstrate this for the current induced into a closed one-dimensional Aharonov-Bohm ring by the interaction with a dynamic...