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arXiv · 2210.05525

Quantum Hall Bogoliubov Interferometer

Vadim Khrapai
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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.

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Vadim Khrapai. 2022-10-11. Quantum Hall Bogoliubov Interferometer. https://doi.org/10.1103/physrevb.107.l241401

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