Classification and Signatures of Dissipative Quantum Hall-Superconductor Junctions
Abstract
Fractional quantum Hall (FQH) edges with proximity-induced superconductivity can host parafermionic zero modes (PZMs), making them a promising platform for topological quantum computing. Recent experiments [Gül et al., Phys. Rev. X 12, 021057 (2022)] measured the edge conductance from crossed Andreev reflection (CAR) between counter-propagating FQH edges separated by a narrow superconductor. The observed conductance was small and non-quantized, with two distinct behaviors: some states show temperature-independent conductance, while others show conductance that grows as temperature decreases. We explain these results by dissipation to sub-gap modes in the superconductor and present a phase diagram for the FQH-superconductor junction. We show that for Jain states, temperature-independent non-quantized conductance occurs only in the presence of an integer mode (such as at filling ν=1±1/m, with odd m≥3) strongly coupled to the dissipative channel. The predicted temperature trends qualitatively agree with the experiment, which shows temperature-independent conductance for ν=2/3 and integer states, but not for ν=1/3 and ν=2/5. We propose comparing ν=4/3 and 2/3 to test the predicted influence of the relative chirality of integer and fractional modes.
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BibTeX
@misc{zheltonozhskii2026classification,
title = {{Classification and Signatures of Dissipative Quantum Hall-Superconductor Junctions}},
author = {Evgenii Zheltonozhskii and Barak A. Katzir and Yuval Oreg and Erez Berg and Netanel H. Lindner},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05555},
eprint = {2611.05555},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05555},
note = {CC BY-NC-SA 4.0},
}
RIS
TY - UNPB
TI - Classification and Signatures of Dissipative Quantum Hall-Superconductor Junctions
AU - Evgenii Zheltonozhskii
AU - Barak A. Katzir
AU - Yuval Oreg
AU - Erez Berg
AU - Netanel H. Lindner
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.05555
UR - https://arxiv.org/abs/2611.05555
AB - Fractional quantum Hall (FQH) edges with proximity-induced superconductivity can host parafermionic zero modes (PZMs), making them a promising platform for topological quantum computing. Recent experiments [Gül et al., Phys. Rev. X 12, 021057 (2022)] measured the edge conductance from crossed Andreev reflection (CAR) between counter-propagating FQH edges separated by a narrow superconductor. The observed conductance was small and non-quantized, with two distinct behaviors: some states show temperature-independent conductance, while others show conductance that grows as temperature decreases. We explain these results by dissipation to sub-gap modes in the superconductor and present a phase diagram for the FQH-superconductor junction. We show that for Jain states, temperature-independent non-quantized conductance occurs only in the presence of an integer mode (such as at filling ν=1±1/m, with odd m≥3) strongly coupled to the dissipative channel. The predicted temperature trends qualitatively agree with the experiment, which shows temperature-independent conductance for ν=2/3 and integer states, but not for ν=1/3 and ν=2/5. We propose comparing ν=4/3 and 2/3 to test the predicted influence of the relative chirality of integer and fractional modes.
ER -