Topological Josephson ${\varphi }_0$-junctions

Abstract

We study the effect of a magnetic field on the current-phase relation of a topological Josephson junction formed by connecting two superconductors through the helical edge states of a quantum spin-Hall insulator. We predict that the Zeeman effect along the spin quantization axis of the helical edges results in an anomalous Josephson relation that allows for a supercurrent to flow in the absence of superconducting phase bias. We relate the associated field-tunable phase shift ${\varphi }_0$ in the Josephson relation of such a ${\varphi }_0$-junction to the existence of a so-called helical superconductivity, which may result from the interplay of the Zeeman effect and spin-orbit coupling. We analyze the dependence of the magneto-supercurrent on the junction length and discuss its observability in suitably designed hybrid structures subject to an in-plane magnetic field.

7 pages, 3 figures, Appendix and references added

References in corpus (15)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• The Quantum Spin Hall Effect: Theory and Experiment
• Quantum Spin Hall Effect in Inverted Type II Semiconductors
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• Edge-mode Superconductivity in a Two Dimensional Topological Insulator
• Anomalous Josephson Current in Junctions with Spin-Polarizing Quantum Point Contacts
• Fermion-parity anomaly of the critical supercurrent in the quantum spin-Hall effect
• Spin Orbit coupling and Anomalous Josephson effect in Nanowires
• Josephson Current through Semiconductor Nanowire with Spin-Orbit Interaction in Magnetic Field
• Quantum interference of edge supercurrents in a two-dimensional topological insulator
• Switching the sign of Josephson current through Aharonov-Bohm interferometry
• Josephson effect in normal and ferromagnetic topological insulator planar, step and edge junctions

Cited by in corpus (105)

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• Universal Josephson diode effect
• Theory of the supercurrent diode effect in Rashba superconductors with arbitrary disorder
• General theory of Josephson Diodes
• Spin-Orbit induced phase-shift in Bi${}_2$Se${}_3$ Josephson junctions
• Theory of the spin-galvanic effect and the anomalous phase-shift ${\phi }_0$ in superconductors and Josephson junctions with intrinsic spin-orbit coupling
• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Diode effect in Josephson junctions with a single magnetic atom
• Ballistic edge states in Bismuth nanowires revealed by SQUID interferometry
• Josephson Diode Effect in High Mobility InSb Nanoflags
• Magnetoelectrics in Disordered Topological Insulator Josephson Junctions
• Josephson Diode Effect Induced by Valley Polarization in Twisted Bilayer Graphene
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• Hybrid helical state and superconducting diode effect in S/F/TI heterostructures
• Anomalous Josephson effect in semiconducting nanowires as a signature of the topologically nontrivial phase
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• Geometry controlled superconducting diode and anomalous Josephson effect triggered by the topological phase transition in curved proximitized nanowires
• Diode effects in current-biased Josephson junctions
• Field-free anomalous junction and superconducting diode effect in spin split superconductor/topological insulator junctions
• Spontaneous supercurrent and $\varphi$0 phase shift parallel to magnetized topological insulator interfaces
• Non-Reciprocal Supercurrents in a Field-Free Graphene Josephson Triode
• Nonlocal Thermoelectricity in a S-TI-S Junction in Contact with a N-Metal Probe: Evidence for Helical Edge States
• A gate-tunable, field-compatible fluxonium
• Quasiclassical theory of magnetoelectric effects in superconducting heterostructures in the presence of the spin-orbit coupling
• Phase Asymmetry of Andreev Spectra From Cooper-Pair Momentum
• Signatures of topological phase transitions in Josephson current-phase discontinuities
• Ferromagnetic resonance and magnetic precessions in ${\phi }_0$ junction
• Anomalous Josephson Effect in S/SO/F/S heterostructures
• Superconducting diode effect in quasi-one-dimensional systems
• Magnetoelectric effects in Josephson junctions
• Josephson diode based on conventional superconductors and a chiral quantum dot
• Zeeman and spin-orbit effects in the Andreev spectra of nanowire junctions
• Anisotropic topological superconductivity in Josephson junctions
• Tuning the Josephson diode response with an ac current
• Detecting Topological Superconductivity with ${\phi }_0$ Josephson Junctions
• Field-Effect Josephson Diode via Asymmetric Spin-Momentum-Locking States
• Andreev spectrum with high spin-orbit interactions: revealing spin splitting and topologically protected crossings
• ${\phi }_0$-Josephson junction in twisted bilayer graphene induced by a valley-polarized state
• Design of Josephson diode based on magnetic impurity
• Chirality Josephson current due to a novel quantum anomaly in inversion-asymmetric Weyl semimetals
• Anomalous Josephson current through a driven double quantum dot
• Quantum Tunneling of the Magnetic Moment in the S/F/S Josephson ${\mathbf{\phi }}_0$-Junction
• Geometric Josephson effects in chiral topological nanowires
• Josephson Diode Effect in Topological Superconductor
• Nonlocal thermoelectric engines in hybrid topological Josephson junctions
• Anomalous Andreev Spectrum and Transport in Non-Hermitian Josephson Junctions
• Anomalous supercurrent and diode effect in locally perturbed topological Josephson junctions
• Chirality selective spin interactions mediated by the superconducting current
• Observation of Anomalous Josephson Effect in Nonequilibrium Andreev Interferometers
• Manipulation of Cooper pair entanglement in hybrid topological Josephson junctions
• Josephson diode effect in a ballistic single-channel nanowire
• Nonreciprocal charge transport and subharmonic structure in voltage-biased Josephson diodes
• Thermal signature of Majorana fermions in Josephson junction
• Spin-triplet superconductor$-$quantum anomalous Hall insulator$-$spin-triplet superconductor Josephson junctions: $0$-$\pi$ transition, ${\varphi }_0$ phase and switch effects
• Nonreciprocal superconducting transport and the spin Hall effect in gyrotropic structures
• Signatures of Majorana bound states and parity effects in two-dimensional chiral p-wave Josephson junctions
• Anomalous Josephson effect in planar noncentrosymmetric superconducting devices
• Superconducting Diode Effect in Two-dimensional Topological Insulator Edges and Josephson Junctions
• Josephson diode effect with Andreev and Majorana bound states
• Tunable $\phi$-Josephson junction with a quantum anomalous Hall insulator
• Superconducting Diode Effect in Quantum Spin Hall Insulator-based Josephson Junctions
• Evidence of $\varphi$0-Josephson junction from skewed diffraction patterns in Sn-InSb nanowires
• Long-range interaction of magnetic moments in a coupled system of S/F/S Josephson junctions with anomalous ground-state phase shift
• Manipulating Magnetic Moments by Superconducting Currents
• Electrically modulated SQUID with single Josephson junction coupled by a time-reversal breaking Weyl semimetal thin film
• Giant spin splitting and $0-\pi$ Josephson transitions from the Edelstein effect in quantum spin-Hall insulators
• On-off switch and sign change for non-local Josephson diode in spin-valve Andreev molecules
• Anomalous Josephson Effect in Topological Insulator-Based Josephson Trijunction
• Reconstruction-Induced ${\phi }_0$ Josephson Effect in Quantum Spin Hall Constrictions
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• Controllable magnetic states in chains of coupled phi-0 Josephson junctions with ferromagnetic weak links
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• Chiral current-phase relation of topological Josephson junctions: A signature of the $4\pi$-periodic Josephson effect
• Supercurrent Reversal in Two-Dimensional Topological Insulators
• Transverse Cooper-Pair Rectifier
• Kramers Fulde-Ferrell state and superconducting spin diode effect
• Majorana phi0 Junction in a Disordered Spin-orbit Coupling Nanowire with Tilted Magnetic Field
• Non-Hermitian superconducting diode effect
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• Symmetry analysis of transport properties in helical superconductor junctions
• Identifying Majorana bound states at quantum spin Hall edges using a metallic probe
• Effects of the Spatial Extension of the Edge Channels on the Interference Pattern of a Helical Josephson Junction
• Chiral detection of Majorana bound states at the edge of a quantum spin Hall insulator
• Zero-dimensional topologically nontrivial state in a superconducting quantum dot
• Gate Tunable Supercurrent in Josephson Junctions Based on Bi2Te3 Topological Insulator Thin Films
• Topological Josephson Junctions in the Integer Quantum Hall Regime
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• Quantum anomaly and anomalous Josephson effect in inversion asymmetric Weyl semimetals
• Exceptional Andreev spectrum and supercurrent in p-wave non-Hermitian Josephson junctions
• Josephson diodes induced by the loop current states
• Mesoscopic supercurrent fluctuations in diffusive magnetic Josephson junctions
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• Tunable diode effect in a superconducting tunnel junction with biharmonic drive
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• Transmission of charge and spin in a topological-insulator-based magnetic structure
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• Anomalous phase shift and superconducting diode effect in Josephson junctions via thin films of rare-earth intermetallic magnets