Spin current and spin accumulation near a Josephson junction between a singlet and triplet superconductor

Abstract

We consider a Josephson junction with an arbitrary transmission coefficient $\mathcal{D}$ between a singlet and a triplet superconductor with the latter order parameter characterized by a d-vector of the form ($k_x\hat{y}-k_y\hat{x}$). Various quantities such as the tunnelling current, spin accumulation, and spin current are calculated via the quasiclassical Green's functions. We also present a symmetry argument on the existence of these quantities and their dependencies on the phase difference across the junction. A physical picture is also given in terms of the Andreev states near the junction.

in preprint form; 5 figures

References in corpus (9)

• Classification of topological insulators and superconductors in three spatial dimensions
• The Quantum Spin Hall Effect: Theory and Experiment
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Topological spin-current in non-centrosymmetric superconductors
• Tuning phase transition between quantum spin Hall and ordinary insulating phases
• Surface bound states and spin currents in non-centrosymmetric superconductors
• Spontaneous spin accumulation in singlet-triplet Josephson junctions
• Unambiguous probe of parity-mixing of Cooper pairs in noncentrosymmetric superconductors
• Using Josephson junctions to determine the pairing state of superconductors without crystal inversion symmetry

Cited by in corpus (29)

• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Topology of Andreev Bound States with Flat Dispersion
• Anomalous Andreev bound state in non-centrosymmetric superconductors
• Surface density of states and topological edge states in non-centrosymmetric superconductors
• General Boundary Conditions for Quasiclassical Theory of Superconductivity in the Diffusive Limit: Application to Strongly Spin-polarized Systems
• The scattering problem in non-equilibrium quasiclassical theory of metals and superconductors: general boundary conditions and applications
• Microscopic study of the Josephson supercurrent diode effect in Josephson junctions based on two-dimensional electron gas
• Orientation-dependent Josephson effect in spin-singlet superconductor/altermagnet/spin-triplet superconductor junctions
• Time-reversal anomaly and Josephson effect in time-reversal invariant topological superconductors
• Spin current in topologically trivial and nontrivial noncentrosymmetric superconductors
• Anomalous Josephson effect in d-wave superconductor junctions on TI surface
• Charge and spin supercurrents in triplet superconductor--ferromagnet--singlet superconductor Josephson junctions
• Evolution of Edge States and Critical Phenomena in the Rashba Superconductor with Magnetization
• Josephson Effect in Noncentrosymmetric Superconductor Junctions
• Magnetic Intragap States and Mixed Parity Pairing at the Edge of Spin-Triplet Superconductors
• Theory of tunneling spectroscopy for chiral topological superconductors
• Josephson Effect and Triplet--Singlet Ratio of Non--centrosymmetric Superconductors
• Anomalous Josephson Hall effect charge and transverse spin currents in superconductor/ferromagnetic insulator/superconductor junctions
• Supercurrent as a Probe for Topological Superconductivity in Magnetic Adatom Chains
• Nonlocal conductance reveals helical superconductors
• Enhancing triplet superconductivity by the proximity to a singlet superconductor in oxide heterostructures
• Effects of Rashba-spin-orbit coupling on superconducting boron-doped nanocrystalline diamond films: evidence of interfacial triplet superconductivity
• Control of magnetism in singlet-triplet superconducting heterostructures
• Symmetry analysis of transport properties in helical superconductor junctions
• Tunable ground states in helical $p$-wave Josephson junctions
• Josephson effect in spin-singlet superconductor/ferromagnetic insulator/spin-triplet superconductor junctions with helical $p$-wave states
• Magnetic resonance in a singlet-triplet Josephson junction
• Quantum kinetic equations and anomalous non-equilibrium Cooper pair spin accumulation in Rashba wires with Zeeman splitting
• Landau-Level Quantization and Band Splitting of FeSe Monolayers Revealed by Scanning Tunneling Spectroscopy