Reconstruction-Induced ${\phi }_0$ Josephson Effect in Quantum Spin Hall Constrictions

Abstract

The simultaneous breaking of time-reversal and inversion symmetry, in connection to superconductivity, leads to transport properties with disrupting scientific and technological potential. Indeed, the anomalous Josephson effect and the superconducting-diode effect hold promises to enlarge the technological applications of superconductors and nanostructures in general. In this context, the system we theoretically analyze is a Josephson junction (JJ) with coupled reconstructed topological channels as a link; such channels are at the edges of a two-dimensional topological insulator (2DTI). We find a robust ${\phi }_0$ Josephson effect without requiring the presence of external magnetic fields. Our results, which rely on a fully analytical analysis, are substantiated by means of symmetry arguments: Our system breaks both time-reversal symmetry and inversion symmetry. Moreover, the anomalous current increases as a function of temperature. We interpret this surprising temperature dependence by means of simple qualitative arguments based on Fermi's golden rule.

arXiv comment13 pages, 3 figures

References in corpus (49)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Unpaired Majorana fermions in quantum wires
• Superconducting Spintronics
• Exponential Protection of Zero Modes in Majorana Islands
• Nonlocal edge state transport in the quantum spin Hall state
• Realization of the field-free Josephson Diode
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Exotic non-Abelian anyons from conventional fractional quantum Hall states
• Zero-field superconducting diode effect in small-twist-angle trilayer graphene
• Josephson ${\phi }_0$-junction in nanowire quantum dots
• Nano Superconducting Quantum Interference device: a powerful tool for nanoscale investigations
• Ubiquitous Superconducting Diode Effect in Superconductor Thin Films
• The Josephson diode effect in supercurrent interferometers
• General theory of Josephson Diodes
• Spin-Orbit induced phase-shift in Bi${}_2$Se${}_3$ Josephson junctions
• Josephson radiation from gapless Andreev bound states in HgTe-based topological junctions
• A Josephson phase battery
• Gate Controlled Anomalous Phase Shift in Al/InAs Josephson Junctions
• Topological Josephson ${\varphi }_0$-junctions
• Experimental evidence of a ϕ Josephson junction
• Towards phase-coherent caloritronics in superconducting circuits
• Asymmetric Josephson Effect in Inversion Symmetry Breaking Topological Materials
• Josephson junction with magnetic-field tunable ground state
• Anomalous current in diffusive ferromagnetic Josephson junctions
• Interacting topological edge channels
• Supercurrent Diode Effect, Spin Torques, and Robust Zero-Energy Peak in Planar Half-Metallic Trilayers
• Spontaneous breakdown of topological protection in two dimensions
• Field-free anomalous junction and superconducting diode effect in spin split superconductor/topological insulator junctions
• A cryogenic memory element based on an anomalous Josephson junction
• Spontaneous supercurrent and $\varphi$0 phase shift parallel to magnetized topological insulator interfaces
• Parity protected superconducting diode effect in topological Josephson junctions
• Effects of spin-orbit coupling and spatial symmetries on the Josephson current in SNS junctions
• Quantized Josephson phase battery
• Critical supercurrent and ${\varphi }_0$ state for probing a persistent spin helix
• Detection of Majorana Kramers pairs using a quantum point contact
• Generating and controlling spin-polarized currents induced by a quantum spin Hall antidot
• Signatures of Rashba spin-orbit interaction in the superconducting proximity effect in helical Luttinger liquids
• Coulomb blockade microscopy of spin density oscillations and fractional charge in quantum spin Hall dots
• ${\mathbb{Z}}_4$ parafermions in weakly interacting superconducting constrictions at the helical edge of quantum spin Hall insulators
• Fraunhofer response and supercurrent spin switching in black phosphorus with strain and disorder
• Even-odd flux quanta effect in the Fraunhofer oscillations of an edge-channel Josephson junction
• From fractional solitons to Majorana fermions in a paradigmatic model of topological superconductivity
• Majorana bound states in hybrid 2D Josephson junctions with ferromagnetic insulators
• Formation and detection of Majorana modes in quantum spin Hall trenches
• Superconducting Quantum Interference in Edge State Josephson Junctions
• Effects of the Spatial Extension of the Edge Channels on the Interference Pattern of a Helical Josephson Junction

Cited by in corpus (5)

• Tuning the Josephson diode response with an ac current
• Field-Effect Josephson Diode via Asymmetric Spin-Momentum-Locking States
• Anomalous supercurrent and diode effect in locally perturbed topological Josephson junctions
• Superconducting Diode Effect in Two-dimensional Topological Insulator Edges and Josephson Junctions
• Magnetic eigenmodes in chains of coupled phi0-Josephson junctions with ferromagnetic weak links