Chiral supercurrent through a quantum Hall weak link

Abstract

We use a microscopic model to calculate properties of the supercurrent carried by chiral edge states of a quantum Hall weak link. This "chiral" supercurrent is qualitatively distinct from the usual Josephson supercurrent in that it cannot be mediated by a single edge alone, i.e., both right and left going edges are needed. Moreover, chiral supercurrent was previously shown to obey an unusual current-phase relation with period $2{\varphi }_0=h/e$, which is twice as large as the period of conventional Josephson junctions. We show that the "chiral" nature of this supercurrent is sharply defined, and is robust to interactions to infinite order in perturbation theory. We compare our results with recent experimental findings of Amet et al [Science, 352(6288)] and find that quantitative agreement in magnitude of the supercurrent can be attained by making reasonable but critical assumptions about the superconductor quantum Hall interface.

5 pages, 2 figures, Added new references

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Cited by in corpus (15)

• Long-range nontopological edge currents in charge-neutral graphene
• Full control of quantum Hall supercurrent in a side gated graphene Josephson junction
• Evidence for chiral supercurrent in quantum Hall Josephson junctions
• Majorana fermions on the quantum Hall edge
• Andreev reflection of quantum Hall states through a quantum point contact
• Edge-induced pairing states in a Josephson junction through a spin-polarized quantum anomalous Hall insulator
• Nonequilibrium edge transport in quantum Hall based Josephson junctions
• Anomalous $h/2e$ periodicity and Majorana zero modes in chiral Josephson junctions
• SU(4) Symmetry Breaking and Induced Superconductivity in Graphene Quantum Hall Edges
• Edge supercurrent in Josephson junctions based on topological materials
• Non-local transport measurements in hybrid quantum Hall - superconducting devices
• Transparent Graphene-Superconductor Interfaces: Quantum Hall and Zero Field Regimes
• Anomalous Fraunhofer-like patterns in quantum anomalous Hall Josephson junction
• Quasi-${\Phi }_0$-periodic supercurrent at quantum Hall transitions
• Imaging chiral Andreev reflection in the presence of Rashba spin-orbit coupling