Fractional spin Josephson effect in topological spin superconductors

Abstract

Topological spin superconductors are $p$-wave spin-triplet exciton insulators whose topological edge modes have been shown to obey non-Abelian braiding statistics. Based on a toy model as the spin counterpart of the Kitaev's chain, we study the spin Josephson effect adopting the $S$-matrix as well as the Green's function method. The on-site energies of these topological edge modes lead to a transition between the fractional and integer spin Josephson effects. Moreover, non-vanishing on-site energies will also induce a charge pump through the spin Josephson junction. These two effects, distinct features of topological spin superconductors and absent in Majorana systems, can be utilized for spin transport detection of topological spin superconductors.

10 pages, 6 figures

References in corpus (40)

• Unpaired Majorana fermions in quantum wires
• Classification of topological insulators and superconductors in three spatial dimensions
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Bose-Einstein Condensation of Excitons in Bilayer Electron Systems
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Quantum anomalous Hall effect from intertwined moiré bands
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Novel Topological Phase with Zero Berry Curvature
• Superconducting states of pure and doped graphene
• Observation of Quantum Spin Hall States in InAs/GaSb Bilayers under Broken Time-Reversal Symmetry
• Fractional ac Josephson effect in p- and d-wave superconductors
• Exciton condensation and charge fractionalization in a topological insulator film
• AC Josephson effect in finite-length nanowire junctions with Majorana modes
• Exotic electronic states in the world of flat bands: from theory to material
• Gate-Tuned Spontaneous Exciton Insulator in Double-Quantum Wells
• Experimental Signatures of Spin Superfluid Ground State in Canted Antiferromagnet Cr2O3 via Nonlocal Spin Transport
• Theory of Two-Dimensional Spatially Indirect Equilibrium Exciton Condensates
• Low-energy theory of transport in Majorana wire junctions
• Flat-Bands-Enabled Triplet Excitonic Insulator in a Di-atomic Kagome Lattice
• SU(4) chiral spin liquid, exciton supersolid and electric detection in moiré bilayers
• Theory of Majorana zero modes in unconventional superconductors
• Spin-Triplet Excitonic Insulator: The Case of Graphone
• Excitonic topological order in imbalanced electron-hole bilayers
• Spin Superfluidity in the $\nu =0$ Quantum Hall State of Graphene
• Spin superconductor in ferromagnetic graphene
• Josephson effect in multiterminal topological junctions
• Fractional spin and Josephson effect in time-reversal-invariant topological superconductors
• Excited quantum Hall effect: enantiomorphic flat bands in a Yin-Yang Kagome lattice
• Topological polarons, quasiparticle invariants and their detection in 1D symmetry-protected phases
• The spin-polarized $\nu =0$ state of graphene: a spin superconductor
• Doubled Shapiro Steps in a Topological Josephson Junction
• Quantized charge-pumping in higher-order topological insulators
• Spin phase regulated spin Josephson supercurrent in topological superconductor
• Non-Abelian braiding in spin superconductors utilizing the Aharonov-Casher effect
• Zero-energy edge states and their origin in particle-hole symmetric systems: symmetry and topology
• Edge supercurrent in Josephson junctions based on topological materials