Shot noise in Aharonov-Bohm interferometers: Comparison of helical and conventional setups

TL;DR

This paper analyzes shot noise in Aharonov-Bohm interferometers, comparing conventional and helical edge state setups, revealing how interference affects the Fano factor and how it indicates backscattering defects.

Contribution

It provides a detailed comparison of shot noise and Fano factor behavior in conventional and helical AB interferometers, highlighting the role of backscattering defects.

Findings

Interference significantly alters the Fano factor and its magnetic field dependence.

In the helical setup, AB peaks in the Fano factor reveal backscattering defects.

The amplitude of AB peaks in helical interferometers is proportional to defect strength.

Abstract

We study tunneling transport through quantum Aharonov-Bohm (AB) interferometers and demonstrate that interference effects strongly modify shot noise of the current. We discuss in detail two simplest setups: conventional single-channel spinless interferometer and interferometer formed by helical edge states of two-dimensional topological insulator. We demonstrate that both in the conventional and the helical case the interference dramatically changes the Fano factor and its magnetic field dependence. For weak tunneling coupling, the Fano factor of both setups exhibits a periodic series of sharp AB peaks depending on the magnetic flux piercing the system. Our key finding is that the Fano factor in the helical interferometer provides information about the presence of backscattering defects violating topological protection. In particular, the amplitude of AB peaks in the helical setup is proportional to the strength of the defect in contrast to conventional setup, where peaks have finite amplitude even in the ballistic case.