Group-theoretic classification of superconducting states of Strontium Ruthenate

Abstract

The possible superconducting states of strontium ruthenate (Sr${}_2$RuO${}_4$) are organized into irreducible representations of the point group $D_{4h}$, with a special emphasis on nodes occurring within the superconducting gap. Our analysis covers the cases with and without spin-orbit coupling and takes into account the possibility of inter-orbital pairing within a three-band, tight-binding description of Sr${}_2$RuO${}_4$. No dynamical treatment if performed: we are confining ourselves to a group-theoretical analysis. The case of uniaxial deformations, under which the point group symmetry is reduced to $D_{2h}$, is also covered. It turns out that nodal lines, in particular equatorial nodal lines, occur in most representations. We also highlight some results specific to multiorbital superconductivity. Among other things, we find that odd inter-orbital pairing allows to combine singlet and triplet superconductivity whithin the same irreducible representation, that pure inter-orbital superconductivity leads to nodal surfaces and that the notion of nodes imposed by symmetry is not clearly defined.

16 pages, 6 figures

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Cited by in corpus (29)

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• Superconductivity in Correlated Multi-Orbital Systems with Spin-Orbit Coupling: Coexistence of Even- and Odd-Frequency Pairing and the Case of Strontium Ruthenate
• Inter-orbital singlet pairing in Sr${}_2$RuO${}_4$: a Hund's superconductor
• Constraints on the superconducting state of Sr${}_2$RuO${}_4$ from elastocaloric measurements
• Superconductivity in multiorbital systems with repulsive interactions: Hund's pairing vs. spin-fluctuation pairing
• Higher angular momentum pairing states in Sr${}_2$RuO${}_4$ in the presence of longer-range interactions
• Identifying Topological Superconductivity in 2D Transition-Metal Dichalcogenides
• Hidden anomalous Hall effect in Sr${}_2$RuO${}_4$ with chiral superconductivity dominated by the Ru $d_{xy}$ orbital
• Multipole-fluctuation pairing mechanism of $d_{x^2-y^2}+ig$ superconductivity in Sr${}_2$RuO${}_4$
• Possibility of mixed helical p-wave pairings in Sr${}_2$RuO${}_4$
• Competition between d-wave superconductivity and magnetism in uniaxially strained Sr2RuO4
• Inter-orbital p- and d-wave pairings between $d_{xz/yz}$ and $d_{xy}$ orbitals in Sr${}_2$RuO${}_4$
• A review of some new perspectives on the theory of superconducting Sr${}_2$RuO${}_4$
• Doping dependence of chiral superconductivity in near $45^{\circ }$ twisted bilayer cuprates
• Topological superconductivity from doping a triplet quantum spin liquid in a flat band system
• Probing the pairing symmetry in kagome superconductors based on the single-particle spectrum
• Possible two-component spin-singlet pairings in Sr2RuO4
• Superconducting gap symmetry from Bogoliubov quasiparticle interference analysis on {Sr}${}_2${RuO}${}_4$
• Ferroelectricity-induced multiorbital odd-frequency superconductivity in SrTiO${}_3$
• Enhanced Spin-Orbit Coupling in a Correlated Metal
• Reconciling $\pi$ phase shift in Josephson junction experiments with even-parity superconductivity in Sr${}_2$RuO${}_4$
• Evolution of Interorbital Superconductor to Intraorbital Spin-Density Wave in Layered Ruthenates
• Finite-momentum and field-induced pairings in orbital-singlet spin-triplet superconductors
• Frequency-Dependent Superconducting States From the Two-Time Linear Response Theory: Application To Sr${}_2$RuO${}_4$
• Why Scanning Tunneling Microscopy on Sr${}_2$RuO${}_4$ sometimes doesn't see the superconducting gap
• Incoherent tunneling and topological superconductivity in twisted cuprate bilayers
• Efficient slave-boson approach for multiorbital two-particle response functions and superconductivity