Synthetic dimensions and topological chiral currents in mesoscopic rings

Hannah M Price,Tomoki Ozawa,Henning Schomerus

doi:10.1103/physrevresearch.2.032017

Abstract

The recently-introduced concept of "synthetic dimensions" allows for the realization of higher-dimensional topological phenomena in lower-dimensional systems. In this work we study the complementary aspect that synthetic dimensions provide a natural route to topological states in mesoscopic hybrid devices. We demonstrate this for the current induced into a closed one-dimensional Aharonov-Bohm ring by the interaction with a dynamic mesoscopic magnet. The quantization of the magnetic moment provides a synthetic dimension that complements the charge motion around the ring. We present a direct mapping that places the combined ring-magnet system into the class of quantum Hall models, and demonstrate that topological features, combined with the magnet's anisotropy, can lead to clear signatures in the persistent current of the single-particle ground state.

Highlights

The recent approach of “synthetic dimensions” opens up routes to realizing topological energy bands in engineered systems of atoms or photons [1,2]
We propose a setup where synthetic dimensions arise in mesoscopic hybrid devices and discuss how they provide a natural route to topological states
We present a direct mapping that places the combined ring-magnet system into the class of quantum Hall models and demonstrate that topological features, combined with the magnet’s anisotropy, can lead to clear signatures in the persistent current of the single-particle ground state

Summary

Introduction

The recent approach of “synthetic dimensions” opens up routes to realizing topological energy bands in engineered systems of atoms or photons [1,2]. We present a direct mapping that places the combined ring-magnet system into the class of quantum Hall models and demonstrate that topological features, combined with the magnet’s anisotropy, can lead to clear signatures in the persistent current of the single-particle ground state.

Results

Conclusion