Superconducting Symmetries of Sr${}_2$RuO${}_4$ from First-Principles Electronic Structure

Abstract

Although correlated electronic-structure calculations explain very well the normal state of Sr${}_2$RuO${}_4$, its superconducting symmetry is still unknown. Here we construct the spin and charge fluctuation pairing interactions based on its correlated normal state. Correlations significantly reduce ferromagnetic in favor of antiferromagnetic fluctuations and increase inter-orbital pairing. From the normal-state Eliashberg equations, we find spin-singlet $d$-wave pairing close to magnetic instabilities. Away from these instabilities, where charge fluctuations increase, we find two time-reversal symmetry-breaking spin-triplets: an odd-frequency $s$-wave, and a doubly-degenerate inter-orbital pairing between $d_{xy}$ and ($d_{yz},d_{xz}$).

arXiv comment12 pages, 10 figures (including Supplementary Materials)

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Cited by in corpus (51)

• Stabilizing Even-Parity Chiral Superconductivity in Sr${}_2$RuO${}_4$
• Knight Shift and Leading Superconducting Instability From Spin Fluctuations in Sr2RuO4
• Momentum Resolved Superconducting Energy Gaps of Sr${}_2$RuO${}_4$ from Quasiparticle Interference Imaging
• Quenched pair breaking by interlayer correlations as a key to superconductivity in La${}_3$Ni${}_2$O${}_7$
• Unsplit superconducting and time reversal symmetry breaking transitions in Sr${}_2$RuO${}_4$ under hydrostatic pressure and disorder
• Inhomogeneous time-reversal symmetry breaking in ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Superconducting state of Sr${}_2$RuO${}_4$ in the presence of longer-range Coulomb interactions
• Sr${}_2$MoO${}_4$ and Sr${}_2$RuO${}_4$: Disentangling the Roles of Hund's and van Hove Physics
• The Superconductivity of Sr${}_2$RuO${}_4$ Under $c$-Axis Uniaxial Stress
• Theory of Strain-Induced Magnetic Order and Splitting of $T_c$ and $T_{\mathrm{TRSB}}$ in Sr${}_2$RuO${}_4$
• Group-theoretic classification of superconducting states of Strontium Ruthenate
• Shadowed triplet pairings in Hund's metals with spin-orbit coupling
• Higher angular momentum pairings in interorbital shadowed-triplet superconductors: Application to Sr${}_2$RuO${}_4$
• 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
• 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
• Interplay between spin-orbit coupling and van Hove singularity in the Hund's metallicity of Sr${}_2$RuO${}_4$
• Distinct spin and orbital dynamics in Sr${}_2$RuO${}_4$
• 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
• $\mu$SR measurements on Sr${}_2$RuO${}_4$ under $⟨110⟩$ uniaxial stress
• A microscopic Ginzburg--Landau theory and singlet ordering in Sr${}_2$RuO${}_4$
• Superconductivity in multiorbital systems with repulsive interactions: Hund's pairing vs. spin-fluctuation pairing
• Multipole-fluctuation pairing mechanism of $d_{x^2-y^2}+ig$ superconductivity in Sr${}_2$RuO${}_4$
• Fluctuation-driven superconductivity in Sr${}_2$RuO${}_4$ from weak repulsive interactions
• Competition between d-wave superconductivity and magnetism in uniaxially strained Sr2RuO4
• 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${}_4$
• Enhanced Seebeck coefficient through the magnetic fluctuations in Sr${}_2$Ru${}_{1-x}{M}_x$O${}_4$ ($M=$ Co, Mn)
• A review of some new perspectives on the theory of superconducting Sr${}_2$RuO${}_4$
• Effects of orbital selective dynamical correlation on the spin susceptibility and superconducting symmetries in Sr${}_2$RuO${}_4$
• Possible two-component spin-singlet pairings in Sr2RuO4
• Superconducting gap symmetry from Bogoliubov quasiparticle interference analysis on {Sr}${}_2${RuO}${}_4$
• Orbital dichotomy of Fermi liquid properties in Sr${}_2$RuO${}_4$ revealed by Raman spectroscopy
• Ferroelectricity-induced multiorbital odd-frequency superconductivity in SrTiO${}_3$
• Magic angle of Sr${}_2$RuO${}_4$: Optimizing correlation-driven superconductivity
• Evening out the spin and charge parity to increase T${}_c$ in unconventional superconductor Sr_{2}RuO_{4}
• Reconciling $\pi$ phase shift in Josephson junction experiments with even-parity superconductivity in Sr${}_2$RuO${}_4$
• Symmetry Aspects of Chiral Superconductors
• Nonlocal electrodynamics and the penetration depth of superconducting Sr${}_2$RuO${}_4$
• Evolution of Interorbital Superconductor to Intraorbital Spin-Density Wave in Layered Ruthenates
• High-pressure synthesis of Ba${}_2$RhO${}_4$, a rhodate analogue of the layered perovskite Sr-ruthenate
• Carrier filtering effect for enhanced thermopower in a body-centered tetragonal ruthenate
• Strontium Ferrite Under Pressure: Potential Analogue to Strontium Ruthenate
• Finite-momentum and field-induced pairings in orbital-singlet spin-triplet superconductors
• Competing spin-fluctuations in Sr${}_2$RuO${}_4$ and their tuning through epitaxial strain
• Why Scanning Tunneling Microscopy on Sr${}_2$RuO${}_4$ sometimes doesn't see the superconducting gap
• Frequency-Dependent Superconducting States From the Two-Time Linear Response Theory: Application To Sr${}_2$RuO${}_4$
• Influence of Fermi Surface Geometry and Van Hove Singularities on the Optical Response of Sr${}_2$RuO${}_4$
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems