Superconducting Quantum Interference in Edge State Josephson Junctions

Abstract

We study superconducting quantum interference in a Josephson junction linked via edge states in two-dimensional (2D) insulators. We consider two scenarios in which the 2D insulator is either a topological or a trivial insulator supporting one-dimensional (1D) helical or nonhelical edge states, respectively. In equilibrium, we find that the qualitative dependence of critical supercurrent on the flux through the junction is insensitive to the helical nature of the mediating states and can, therefore, not be used to verify the topological features of the underlying insulator. However, upon applying a finite voltage bias smaller than the superconducting gap to a relatively long junction, the finite-frequency interference pattern in the non-equilibrium transport current is qualitatively different for helical edge states as compared to nonhelical ones.

5+13 pages, 7 figures, 3 tables

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Cited by in corpus (12)

• Helical Liquids in Semiconductors
• Superconducting Quantum Interference in Edge State Josephson Junctions
• Supercurrent mediated by helical edge modes in bilayer graphene
• Reconstruction-Induced ${\phi }_0$ Josephson Effect in Quantum Spin Hall Constrictions
• Fraunhofer pattern in the presence of Majorana zero modes
• Effects of the Spatial Extension of the Edge Channels on the Interference Pattern of a Helical Josephson Junction
• Edge supercurrent in Josephson junctions based on topological materials
• Spin-resolved spectroscopy of helical Andreev bound states
• Anomalous Fraunhofer-like patterns in quantum anomalous Hall Josephson junction
• Random-gate-voltage induced Al'tshuler-Aronov-Spivak effect in topological edge states
• Interedge backscattering in time-reversal symmetric quantum spin Hall Josephson junctions
• Anomalous flux periodicity in proximitised quantum spin Hall constrictions