Identifying spin-triplet pairing in spin-orbit coupled multi-band superconductors

Abstract

We investigate the combined effect of Hund's and spin-orbit (SO) coupling on superconductivity in multi-orbital systems. Hund's interaction leads to orbital-singlet spin-triplet superconductivity, where the Cooper pair wave function is antisymmetric under the exchange of two orbitals. We identify three d-vectors describing even-parity orbital-singlet spin-triplet pairings among t2g-orbitals, and find that the three d-vectors are mutually orthogonal to each other. SO coupling further assists pair formation, pins the orientation of the d-vector triad, and induces spin-singlet pairings with a relative phase difference of π/2. In the band basis the pseudospin d-vectors are aligned along the z-axis and correspond to momentum-dependent inter- and intra-band pairings. We discuss quasiparticle dispersion, magnetic response, collective modes, and experimental consequences in light of the superconductor Sr2RuO4.

6 pages, 5 figures

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Cited by in corpus (50)

• Chiral Superconductors
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• Split superconducting and time-reversal symmetry-breaking transitions, and magnetic order in Sr${}_2$RuO${}_4$ under uniaxial stress
• Odd-parity triplet superconductivity in multi-orbital materials with strong spin-orbit coupling: applications to doped Sr2IrO4
• A proposal for reconciling diverse experiments on the superconducting state in Sr2RuO4
• Pairing symmetry and dominant band in Sr2RuO4
• Stabilizing Even-Parity Chiral Superconductivity in Sr${}_2$RuO${}_4$
• Evidence for even parity unconventional superconductivity in Sr${}_2$RuO${}_4$
• Double perovskite heterostructures: Magnetism, Chern bands, and Chern insulators
• Intermediate Coupling Model of the Cuprates
• Unsplit superconducting and time reversal symmetry breaking transitions in Sr${}_2$RuO${}_4$ under hydrostatic pressure and disorder
• Superconducting Symmetries of Sr${}_2$RuO${}_4$ from First-Principles Electronic Structure
• Imaginary-time matrix product state impurity solver in a real material calculation: Spin-orbit coupling in Sr${}_2$RuO${}_4$
• Determining the Surface-To-Bulk Progression in the Normal-State Electronic Structure of Sr2RuO4 by Angle-Resolved Photoemission and Density Functional Theory
• Anisotropy of the Superconducting State in Sr2RuO4
• Bogoliubov Fermi Surfaces in Spin-1/2 Systems: Model Hamiltonians and Experimental Consequences
• The characterization of topological properties in Quantum Monte Carlo simulations of the Kane-Mele-Hubbard model
• Group-theoretic classification of superconducting states of Strontium Ruthenate
• Topological superconducting states in monolayer FeSe/SrTiO${}_3$
• Shadowed triplet pairings in Hund's metals with spin-orbit coupling
• Spin-orbit coupling and spin-triplet pairing symmetry in $\mathrm{S}{\mathrm{r}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Exotic Cooper pairing in multi-orbital models of Sr${}_2$RuO${}_4$
• Even-parity spin-triplet pairing for orbitally degenerate correlated electrons by purely repulsive interactions
• Higher angular momentum pairings in interorbital shadowed-triplet superconductors: Application to Sr${}_2$RuO${}_4$
• The Triplet Resonating Valence Bond State and Superconductivity in Hund's Metals
• Distinct reduction of Knight shift in superconducting state of Sr${}_2$RuO${}_4$ under uniaxial strain
• Leading superconducting instabilities in three-dimensional models for Sr2RuO4
• Anomalous Hall conductivity of clean Sr2RuO4 at finite temperatures
• Multiple superconducting phases in heavy-fermion metals
• Superconductivity in multiorbital systems with repulsive interactions: Hund's pairing vs. spin-fluctuation pairing
• Hidden anomalous Hall effect in Sr${}_2$RuO${}_4$ with chiral superconductivity dominated by the Ru $d_{xy}$ orbital
• Magnetically-textured superconductivity in elemental Rhenium
• Inter-orbital p- and d-wave pairings between $d_{xz/yz}$ and $d_{xy}$ orbitals in Sr${}_2$RuO${}_4$
• Spin susceptibility for orbital-singlet Cooper pair in the three-dimensional Sr${}_2$RuO${}_4$ superconductor
• Possibility of mixed helical p-wave pairings in Sr${}_2$RuO${}_4$
• Enhancing triplet superconductivity by the proximity to a singlet superconductor in oxide heterostructures
• A review of some new perspectives on the theory of superconducting Sr${}_2$RuO${}_4$
• Inverse Proximity Effects at Spin-Triplet Superconductor-Ferromagnet Interface
• Pair-breaking in superconductors with strong spin-orbit coupling
• Linear spectroscopy of collective modes and the gap structure in two-dimensional superconductors
• Interplay of charge and spin fluctuations in a Hund's coupled impurity
• Spin-orbit-assisted electron pairing in 1D waveguides
• Reconciling $\pi$ phase shift in Josephson junction experiments with even-parity superconductivity in Sr${}_2$RuO${}_4$
• Multi-band Eilenberger theory of superconductivity: Systematic low-energy projection
• Robust semi-Dirac points and unconventional topological phase transitions in doped superconducting Sr2IrO4 tunnel coupled to t2g electron systems
• Evolution of Interorbital Superconductor to Intraorbital Spin-Density Wave in Layered Ruthenates
• Finite-momentum and field-induced pairings in orbital-singlet spin-triplet superconductors
• Triplet pairing, orbital selectivity and correlations in Iron-based superconductors
• Anisotropic Purity of Entangled Photons From Cooper Pairs in Heterostructures
• Efficient slave-boson approach for multiorbital two-particle response functions and superconductivity