Implementing Landauer-B\" uttiker approach in hybrid quantum Hall-superconducting devices

L Zhao, EG Arnault, TFQ Larson, K Watanabe… - arXiv preprint arXiv …, 2023 - arxiv.org
L Zhao, EG Arnault, TFQ Larson, K Watanabe, T Taniguchi, F Amet, G Finkelstein
arXiv preprint arXiv:2310.02910, 2023arxiv.org
We develop the expressions for the non-local resistances of hybrid quantum Hall--
superconductor devices. Our approximation depends on the crucial assumption that the
superconducting phase correlations between contacts do not play a role. We verify the
validity of our approach in two devices: in the first one, a single superconducting contact
couples to multiple edge states, while in the second, there are multiple superconducting
electrodes. The results obtained for the second device suggest that the superconducting …
We develop the expressions for the non-local resistances of hybrid quantum Hall -- superconductor devices. Our approximation depends on the crucial assumption that the superconducting phase correlations between contacts do not play a role. We verify the validity of our approach in two devices: in the first one, a single superconducting contact couples to multiple edge states, while in the second, there are multiple superconducting electrodes. The results obtained for the second device suggest that the superconducting phase coherence is not maintained over our micron-scale graphene devices. Possible violations of this assumption may be used as an indication that superconducting phase coherence is induced in quantum Hall edges.
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