Quantum Hall Bogoliubov Interferometer

TL;DR

This paper proposes a quantum Hall interferometer with a superconducting terminal that enables control over quasiparticle scattering and exhibits complex conductance behavior, advancing quantum interference device design.

Contribution

It introduces a novel interferometer geometry that allows precise control of Andreev and normal scattering amplitudes in quantum Hall systems.

Findings

Rich conductance behavior compared to two-terminal devices

Full control of electron-hole superposition in a single-edge setup

Resonant enhancement of Andreev reflection probability

Abstract

A quantum Hall interferometer containing a grounded superconducting terminal is proposed. This geometry allows to control the Andreev and normal scattering amplitudes of sub-gap Bogoliubov quasiparticles with the Aharonov-Bohm phase, as well as with the constrictions defining the interferometer loop. The conductance matrix of such a three-terminal NSN interference device exhibits a much richer behavior as compared to its two-terminal Fabry-P\'erot counterpart, which is illustrated by non-trivial behavior of non-local charge and heat responses. A single edge version of the interferometer enables full on-demand control of the electron-hole superposition, including resonant enhancement of arbitrary small Andreev reflection probability up to 1, and can be used as a building block in future more complex interference setups.