Effects of spin-orbit coupling and spatial symmetries on the Josephson current in SNS junctions

Abstract

We present an analysis of the symmetries of the interference pattern of critical currents through a two-dimensional superconductor-semiconductor-superconductor junction, taking into account Rashba and Dresselhaus spin-orbit interaction, an arbitrarily oriented magnetic field, disorder, and structural asymmetries. We relate the symmetries of the pattern to the absence or presence of symmetries in the Hamiltonian, which provides a qualitative connection between easily measurable quantities and the spin-orbit coupling and other symmetries of the junction. We support our analysis with numerical calculations of the Josephson current based on a perturbative expansion up to eighth order in tunnel coupling between the normal region and the superconductors.

6 pages, 3 figures; 5 pages supplementary

References in corpus (15)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Non-Abelian Anyons and Topological Quantum Computation
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Quantum Spin Hall Effect in Inverted Type II Semiconductors
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Measurement of Rashba and Dresselhaus spin-orbit magnetic fields
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• Spin-Orbit Mediated Control of Spin Qubits
• Direct determination of spin orbit interaction coefficients and realization of the persistent spin helix symmetry
• Josephson Current through Semiconductor Nanowire with Spin-Orbit Interaction in Magnetic Field
• Spontaneous Edge Accumulation of Spin Currents in Finite-Size Two-Dimensional Diffusive Spin-Orbit Coupled SFS Heterostructures
• φ-State and Inverted Fraunhofer Pattern in Nonaligned Josephson Junctions
• Long-Range Spin-Triplet Correlations and Edge Spin Currents in Diffusive Spin-Orbit Coupled SNS Hybrids with a Single Spin-Active Interface
• Proximity Induced Vortices and Long-Range Triplet Supercurrents in Ferromagnetic Josephson Junctions and Spin Valves
• Magnetic anisotropy of critical current in nanowire Josephson junction with spin-orbit interaction

Cited by in corpus (37)

• A Josephson junction supercurrent diode
• Gapless Andreev bound states in the quantum spin Hall insulator HgTe
• Spin-Orbit induced phase-shift in Bi${}_2$Se${}_3$ Josephson junctions
• Gate Controlled Anomalous Phase Shift in Al/InAs Josephson Junctions
• Microwave spectroscopy of spinful Andreev bound states in ballistic semiconductor Josephson junctions
• Josephson Diode Effect in High Mobility InSb Nanoflags
• Anomalous Fraunhofer Interference in Epitaxial Superconductor-Semiconductor Josephson Junctions
• Enhancement of Proximity Induced Superconductivity in a Planar Ge Hole Gas
• Gate-tunable Josephson diode effect in Rashba spin-orbit coupled quantum dot junctions
• Quantized Josephson phase battery
• $h/e$ superconducting quantum interference through trivial edge states in InAs
• Anomalous Josephson Effect in S/SO/F/S heterostructures
• Nonsinusoidal current-phase relations in semiconductor-superconductor-ferromagnetic insulator devices
• Zeeman and spin-orbit effects in the Andreev spectra of nanowire junctions
• Josephson Diode Effect in Andreev Molecules
• Detecting Topological Superconductivity with ${\phi }_0$ Josephson Junctions
• Josephson inductance as a probe for highly ballistic semiconductor-superconductor weak links
• Field-Effect Josephson Diode via Asymmetric Spin-Momentum-Locking States
• Planar graphene-NbSe${}_2$ Josephson junctions in a parallel magnetic field
• Microwave spectroscopy of interacting Andreev spins
• Nonlinear $\sigma$-model for disordered systems with intrinsic spin-orbit coupling
• Anomalous supercurrent and diode effect in locally perturbed topological Josephson junctions
• Anomalous Josephson effect in planar noncentrosymmetric superconducting devices
• Edge effects in the magnetic interference pattern of a ballistic SNS junction
• Tunable $\phi$-Josephson junction with a quantum anomalous Hall insulator
• Direct and inverse superspin Hall effect in two-dimensional systems: Electrical detection of spin supercurrents
• Reconstruction-Induced ${\phi }_0$ Josephson Effect in Quantum Spin Hall Constrictions
• Anomalous Josephson diode effect in superconducting multilayers
• High magnetic field stability in a planar graphene-NbSe${}_2$ SQUID
• 2${\Phi }_0$-periodic magnetic interference in ballistic graphene Josephson junctions
• Josephson current via an isolated Majorana zero mode
• Tunable superconducting diode effect in higher-harmonic InSb nanosheet interferometers
• Effects of spin-orbit coupling and in-plane Zeeman fields on the critical current in two-dimensional hole gas SNS junctions
• Four-terminal Josephson junctions: diode effects, anomalous currents and transverse currents
• Tunable diode effect in a superconducting tunnel junction with biharmonic drive
• Asymmetric Fraunhofer pattern in Josephson junctions from heterodimensional superlattice V${}_5$S${}_8$
• Anomalous spin Josephson effect in spin superconductors