Spin phase regulated spin Josephson supercurrent in topological superconductor

Abstract

Without applied bias voltage, a superconducting phase difference can drive a charge Josephson supercurrent in a superconductor junction. In analogy, we here theoretically propose a spin phase that intrinsically generates spin Josephson supercurrent, and this spin Josephson effect is studied in a junction of superconducting nanowire (SNW). We show that spin-orbit coupling and magnetic field give rise to spin-triplet superconductivity in the SNW, thus allow the superfluid of both charge and spin. Next we introduce the concept of spin phase that can be generated by controls of spin current, magnetic field or electric field. By the analysis of pairing correlations and Ginzburg-Landau-type theory, it is shown that the spin phase makes spin-up and spin-down $S=1$ Cooper pairs get opposite phases and move oppositely in a Josephson junction, so that a dissipationless pure spin current is induced. We also derive the formula that the spin current is equal to the derivative of Andreev bound state to the spin phase, which is analogous to that of charge Josephson effect. At last, our calculation verifies the existence of spin supercurrent inside the superconducting gap in the topologically nontrivial phase. Our study provides a view on spin Josephson effect and indicates the potential combination of topological superconductivity and spintronics.

9 pages, 3 figures

References in corpus (39)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Helical liquids and Majorana bound states in quantum wires
• Direct electronic measurement of the spin Hall effect
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Majorana Fermion Induced Resonant Andreev Reflection
• Long distance transport of magnon spin information in a magnetic insulator at room temperature
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• A spin triplet supercurrent through the half-metallic ferromagnet CrO2
• Spin-polarized supercurrents for spintronics: a review of current progress
• Observation of spin-triplet superconductivity in Co-based Josephson Junctions
• Quantum transport theory for nanostructures with Rashba spin-orbital interaction
• The Rashba Hamiltonian and electron transport
• Ising Superconductivity and Majorana Fermions in Transition Metal Dichalcogenides
• Supercurrent in a room temperature Bose-Einstein magnon condensate
• Experimental Signatures of Spin Superfluid Ground State in Canted Antiferromagnet Cr2O3 via Nonlocal Spin Transport
• Selective Equal-Spin Andreev Reflections Induced by Majorana Fermions
• Nontopological zero-bias peaks in full-shell nanowires induced by flux tunable Andreev states
• Spin-dependent Cooper Pair Phase and Pure Spin Supercurrents in Strongly Polarized Ferromagnets
• Persistent spin current in nano-devices and definition of the spin current
• Conductance Spectroscopy of Spin-triplet Superconductors
• Josephson and Persistent Spin Currents in Bose-Einstein Condensates of Magnons
• Spin-Triplet Excitonic Insulator: The Case of Graphone
• 0-$\pi$ transition in magnetic triplet superconductor Josephson junctions
• Conductance spectroscopy of topological superconductor wire junctions
• Josephson Spin Current in Triplet Superconductor Junctions
• Spin superconductor in ferromagnetic graphene
• Generation of pure superconducting spin current in magnetic heterostructures via non-locally induced magnetism due to Landau Fermi-liquid effects
• Spin supercurrent in Josephson contacts with noncollinear ferromagnets
• Detect Spinons via Spin Transport
• Effects of spin-orbit interaction on superconductor-ferromagnet heterostructures: spontaneous electric and spin surface currents
• The spin-polarized $\nu =0$ state of graphene: a spin superconductor
• Magnon transport through microwave pumping
• Electrically tunable chiral Majorana edge modes in quantum anomalous Hall insulator-topological superconductor systems
• Long-range spin current driven by superconducting phase difference in a Josephson junction with double layer ferromagnets
• Charge and spin transport through normal lead coupled to $s$-wave superconductor and a Majorana zero mode
• Controlling spin supercurrents via nonequilibrium spin injection
• Josephson junction on one edge of a two dimensional topological insulator affected by magnetic impurity
• Ginzburg-Landau-type theory of non-polarized spin superconductivity

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• Phase transitions in quantum dot-Majorana zero mode coupling systems
• AC/DC spin current in ferromagnet/superconductor/normal metal trilayer systems
• Superfluidity of Total Angular Momentum
• Spin transport in a normal meta-altermagnetic superconducting nanowire junction
• Fractional spin Josephson effect in topological spin superconductors