Josephson Current through Semiconductor Nanowire with Spin-Orbit Interaction in Magnetic Field

Abstract

We theoretically study the DC Josephson effect of a semiconductor nanowire (NW) with strong spin-orbit interaction when a magnetic field is applied parallel to the NW. We adopt a model of single scatterer in a quasi-one-dimensional system for the case of short junctions where the size of normal region is much smaller than the coherent length. In the case of single conduction channel in the model, we obtain analytical expressions for the energy levels of Andreev bound states, $E_n$, and supercurrent $I$, as a function of phase difference $\phi$ between two superconductors. We show the 0-$\pi$ transition by tuning the magnetic field. In the case of more than one conduction channel, we find that $E_n(-\phi )\ne E_n(\phi )$ by the interplay between the spin-orbit interaction and Zeeman effect, which results in finite supercurrent at $\phi =0$ (anomalous Josephson current) and direction-dependent critical current.

Submitted to J. Phys. Soc. Jpn

References in corpus (30)

• Spintronics: Fundamentals and applications
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Proximity effects in superconductor-ferromagnet heterostructures
• Coupling of two superconductors through a ferromagnet : evidence for a pi-junction
• Spin-orbit qubit in a semiconductor nanowire
• Tunable Supercurrent Through Semiconductor Nanowires
• Supercurrent reversal in quantum dots
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Direct Measurement of the Spin-Orbit Interaction in a Two-Electron InAs Nanowire Quantum Dot
• Spectroscopy of spin-orbit quantum bits in indium antimonide nanowires
• Anomalous Josephson Current in Junctions with Spin-Polarizing Quantum Point Contacts
• Anomalous Josephson current through a spin-orbit coupled quantum dot
• Andreev quantum dots for spin manipulation
• Field Tuning the G-Factor in InAs Nanowire Double Quantum Dots
• Experimental evidence of a ϕ Josephson junction
• Disentangling the effects of spin-orbit and hyperfine interactions on spin blockade
• Superconducting Spin Qubits
• Supercurrent and multiple Andreev reflections in an InSb nanowire Josephson junction
• Combined effect of Zeeman splitting and spin-orbit interaction on the Josephson current in a S-2DEG-S structure
• Influence of the Rashba effect on the Josephson current through a superconductor/Luttinger liquid/superconductor tunnel junction
• $\pi -0$ Transition in Superconductor-Ferromagnetic-Superconductor Junctions
• Josephson current through a quantum dot with spin-orbit coupling
• Splitting of Andreev levels in a Josephson junction by spin-orbit coupling
• Josephson Current through a Semiconductor Nanowire: effect of strong spin-orbit coupling and Zeeman splitting
• Spin-Hall effects in a Josephson contact
• Supercurrent through a serial quantum dot close to singlet-triplet degeneracy
• Multiple Andreev reflections in a quantum dot coupled to superconductors: Effects of spin-orbit coupling
• Josephson current in carbon nanotubes with spin-orbit interaction
• Spin-Hall current and spin polarization in an electrically biased SNS Josephson junction
• Dynamics of coupled spins in quantum dots with strong spin-orbit interaction

Cited by in corpus (50)

• Spin-polarized supercurrents for spintronics: a review of current progress
• Evidence of topological superconductivity in planar Josephson junctions
• Josephson ${\phi }_0$-junction in nanowire quantum dots
• Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires
• Universal Josephson diode effect
• The Josephson diode effect in supercurrent interferometers
• General theory of Josephson Diodes
• 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
• Gate Controlled Anomalous Phase Shift in Al/InAs Josephson Junctions
• Topological Josephson ${\varphi }_0$-junctions
• Diode effect in Josephson junctions with a single magnetic atom
• Microwave spectroscopy of spinful Andreev bound states in ballistic semiconductor Josephson junctions
• Supercurrent detection of topologically trivial zero-energy states in nanowire junctions
• Anomalous Josephson current, incipient time-reversal symmetry breaking, and Majorana bound states in interacting multi-level dots
• Synthetic spin orbit interaction for Majorana devices
• Gate Tunable Josephson Diode in Proximitized InAs Supercurrent Interferometers
• Evolution of Nanowire Transmons and Their Quantum Coherence in Magnetic Field
• Spin Orbit coupling and Anomalous Josephson effect in Nanowires
• Singularities of Andreev spectrum in multi-terminal Josephson junction
• Microscopic study of the Josephson supercurrent diode effect in Josephson junctions based on two-dimensional electron gas
• Diode effects in current-biased Josephson junctions
• Non-Reciprocal Supercurrents in a Field-Free Graphene Josephson Triode
• Sign reversal of the AC and DC supercurrent diode effect and 0-$\pi$-like transitions in ballistic Josephson junctions
• Effects of spin-orbit coupling and spatial symmetries on the Josephson current in SNS junctions
• $h/e$ superconducting quantum interference through trivial edge states in InAs
• Signatures of topological phase transitions in Josephson current-phase discontinuities
• Wigner-Poisson statistics of topological transitions in a Josephson junction
• Anomalous Josephson Effect in S/SO/F/S heterostructures
• Zeeman and spin-orbit effects in the Andreev spectra of nanowire junctions
• High temperature superconductivity in the two-dimensional $t$-$J$ model: Gutzwiller wave function solution
• Coherent Charge Transport in Ballistic InSb Nanowire Josephson Junctions
• Field-Effect Josephson Diode via Asymmetric Spin-Momentum-Locking States
• Quench dynamics of fermion-parity switches in a Josephson junction
• Transfer matrix approach to the persistent current in hybrid normal-superconducting rings
• Microwave spectroscopy of interacting Andreev spins
• Magneto-Josephson effects and Majorana bound states in quantum wires
• Geometric Josephson effects in chiral topological nanowires
• Progress in superconductor-semiconductor topological Josephson junctions
• Manipulation of Cooper pair entanglement in hybrid topological Josephson junctions
• Magnetic anisotropy of critical current in nanowire Josephson junction with spin-orbit interaction
• Long Range Triplet Josephson Current and $0-\pi$ Transition in Tunable Domain Walls
• Anomalous Josephson effect in planar noncentrosymmetric superconducting devices
• Giant spin splitting and $0-\pi$ Josephson transitions from the Edelstein effect in quantum spin-Hall insulators
• Unconventional Josephson supercurrent diode effect induced by chiral spin-orbit coupling
• Impact of junction length on supercurrent resilience against magnetic field in InSb-Al nanowire Josephson junctions
• Kramers Fulde-Ferrell state and superconducting spin diode effect
• Zero-dimensional topologically nontrivial state in a superconducting quantum dot
• SQUID pattern disruption in transition metal dichalcogenide Josephson junctions due to non-parabolic dispersion of the edge states
• Superconducting Diode Effect in Double Quantum Dot Device