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Supercurrent-enabled Andreev reflection in a chiral quantum Hall edge state

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Date
31/01/2023
Author
Michelsen, Andreas B.
Recher, Patrik
Braunecker, Bernd
Schmidt, Thomas L.
Keywords
QC Physics
TK Electrical engineering. Electronics Nuclear engineering
T-NDAS
MCC
NCAD
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Abstract
A chiral quantum Hall (QH) edge state placed in proximity to an s-wave superconductor experiences induced superconducting correlations. Recent experiments have observed the effect of proximity coupling in QH edge states through signatures of the mediating process of Andreev reflection. We present the microscopic theory behind this effect by modeling the system with a many-body Hamiltonian, consisting of an s-wave superconductor, subject to spin-orbit coupling and a magnetic field, which is coupled by electron tunneling to an integer QH edge state. By integrating out the superconductor we obtain an effective pairing Hamiltonian in the QH edge state. We clarify the qualitative appearance of nonlocal superconducting correlations in a chiral edge state and analytically predict the suppression of electron-hole conversion at low energies (Pauli blocking) and negative resistance as experimental signatures of Andreev reflection in this setup. In particular, we show how two surface phenomena of the superconductor, namely, Rashba spin-orbit coupling and a supercurrent due to the Meissner effect, are essential for the Andreev reflection. Our work provides a promising pathway to the realization of Majorana zero modes and their parafermionic generalizations.
Citation
Michelsen , A B , Recher , P , Braunecker , B & Schmidt , T L 2023 , ' Supercurrent-enabled Andreev reflection in a chiral quantum Hall edge state ' , Physical Review Research , vol. 5 , no. 1 , 013066 . https://doi.org/10.1103/PhysRevResearch.5.013066
Publication
Physical Review Research
Status
Peer reviewed
DOI
https://doi.org/10.1103/PhysRevResearch.5.013066
ISSN
2643-1564
Type
Journal article
Rights
Copyright © 2023 the Author(s). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Description
Funding: ABM and TLS acknowledge support from the National Research Fund, Luxembourg under the grant ATTRACT, Grant No. A14/MS/7556175/MoMeSys. ABM and BB acknowledge support from St. Leonard’s European Inter-University Doctoral Scholarship of the University of St. Andrews. PR acknowledges financial support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) within the framework of Germany’s Excellence Strategy-EXC-2123 QuantumFrontiers-390837967.
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  • University of St Andrews Research
URI
http://hdl.handle.net/10023/26878

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