Superconducting order parameter of Sr${}_2$RuO${}_4$: a microscopic perspective

Abstract

The character of the superconducting phase of Sr${}_2$RuO${}_4$, is topic of a longstanding discussion. The classification of the symmetry allowed order parameters has relied on the tetragonal symmetry of the lattice and on cylindrical Fermi surfaces, usually taken to be featureless, not including the non-trivial symmetry aspects related to their orbital content. Here we show how the careful account of the orbital degree of freedom in Sr${}_2$RuO${}_4$, leads to a much richer classification of order parameters. We analyse the stability and degeneracy of these new order parameters from the perspective of the concept of superconducting fitness and propose a new best order parameter candidate.

arXiv comment13 pages

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Cited by in corpus (52)

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• Thermodynamic Evidence for a Two-Component Superconducting Order Parameter in Sr${}_2$RuO${}_4$
• Recent progress on superconductors with time-reversal symmetry breaking
• Stabilizing Even-Parity Chiral Superconductivity in Sr${}_2$RuO${}_4$
• Superconducting state of Sr${}_2$RuO${}_4$ in the presence of longer-range Coulomb interactions
• Superconducting order of ${\mathrm{Sr}}_2{\mathrm{RuO}}_4$ from a three-dimensional microscopic model
• Quantitative Theory of Triplet Pairing in the Unconventional Superconductor LaNiGa${}_2$
• The Superconductivity of Sr${}_2$RuO${}_4$ Under $c$-Axis Uniaxial Stress
• Group-theoretic classification of superconducting states of Strontium Ruthenate
• Shadowed triplet pairings in Hund's metals with spin-orbit coupling
• Exotic Cooper pairing in multi-orbital models of Sr${}_2$RuO${}_4$
• Spin-orbit coupling and spin-triplet pairing symmetry in $\mathrm{S}{\mathrm{r}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Higher angular momentum pairings in interorbital shadowed-triplet superconductors: Application to Sr${}_2$RuO${}_4$
• Multiorbital singlet pairing and $d+d$ superconductivity
• Inter-orbital singlet pairing in Sr${}_2$RuO${}_4$: a Hund's superconductor
• Superconductivity in Correlated Multi-Orbital Systems with Spin-Orbit Coupling: Coexistence of Even- and Odd-Frequency Pairing and the Case of Strontium Ruthenate
• Distinct reduction of Knight shift in superconducting state of Sr${}_2$RuO${}_4$ under uniaxial strain
• Bulk odd-frequency pairing in the superconducting Su-Schrieffer-Heeger model
• Leading superconducting instabilities in three-dimensional models for Sr2RuO4
• Nonunitary Superconductivity in Complex Quantum Materials
• Constraints on the superconducting state of Sr${}_2$RuO${}_4$ from elastocaloric measurements
• Multiband mean-field theory of the $d+ig$ superconductivity scenario in Sr${}_2$RuO${}_4$
• Superconductivity in multiorbital systems with repulsive interactions: Hund's pairing vs. spin-fluctuation pairing
• Symmetry-mixed bound-state order: extended degeneracy of $(d+ig)$-superconductivity in ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Breaking time-reversal and translational symmetry at edges of $d$-wave superconductors: microscopic theory and comparison with quasiclassical theory
• Hidden anomalous Hall effect in Sr${}_2$RuO${}_4$ with chiral superconductivity dominated by the Ru $d_{xy}$ orbital
• Higher angular momentum pairing states in Sr${}_2$RuO${}_4$ in the presence of longer-range interactions
• Multipole-fluctuation pairing mechanism of $d_{x^2-y^2}+ig$ superconductivity in Sr${}_2$RuO${}_4$
• Strong Increase in Ultrasound Attenuation Below T${}_{\mathrm{c}}$ in Sr${}_2$RuO${}_4$: Possible Evidence for Domains
• Separated transport relaxation scales and interband scattering in SrRuO${}_3$, CaRuO${}_3$, and Sr${}_2$RuO${}_4$ thin films
• Magnetically-textured superconductivity in elemental Rhenium
• Competition between d-wave superconductivity and magnetism in uniaxially strained Sr2RuO4
• 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${}_4$
• Inter-orbital p- and d-wave pairings between $d_{xz/yz}$ and $d_{xy}$ orbitals in Sr${}_2$RuO${}_4$
• Fluctuation-driven superconductivity in Sr${}_2$RuO${}_4$ from weak repulsive interactions
• Nodal gaps from local interactions in Sr${}_2$RuO${}_4$
• A review of some new perspectives on the theory of superconducting Sr${}_2$RuO${}_4$
• Degeneracy between even- and odd-parity superconductivity in the quasi-1D Hubbard model and implications for Sr2RuO4
• Possible two-component spin-singlet pairings in Sr2RuO4
• Spin-orbit-coupled superconductivity with spin-singlet non-unitary pairing
• Superconducting gap symmetry from Bogoliubov quasiparticle interference analysis on {Sr}${}_2${RuO}${}_4$
• Reconciling $\pi$ phase shift in Josephson junction experiments with even-parity superconductivity in Sr${}_2$RuO${}_4$
• Surface State of Inter-orbital Pairing State in Sr${}_2$RuO${}_4$ Superconductor
• Enhanced Spin-Orbit Coupling in a Correlated Metal
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• Evolution of Interorbital Superconductor to Intraorbital Spin-Density Wave in Layered Ruthenates
• Nonlocal electrodynamics and the penetration depth of superconducting Sr${}_2$RuO${}_4$
• Finite-momentum and field-induced pairings in orbital-singlet spin-triplet superconductors
• Surface-acoustic-wave-induced unconventional superconducting pairing
• Why Scanning Tunneling Microscopy on Sr${}_2$RuO${}_4$ sometimes doesn't see the superconducting gap
• Phenomenological model for the third-harmonic magnetic response of superconductors: application to Sr${}_2$RuO${}_4$