A Quantum Hall Bogoliubov Interferometer

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 a three-terminal interferometer exhibits a much richer behavior as compared to its two-terminal Fabry-P\'erot counterpart. In particular, an arbitrarily small Andreev reflection probability can be resonantly enhanced up to 1 by the interference.Comment: revised discussion and interferometer sketche