Knight Shift and Leading Superconducting Instability From Spin Fluctuations in Sr2RuO4

Abstract

Recent nuclear magnetic resonance studies [A. Pustogow {\it et al.}, arXiv:1904.00047] have challenged the prevalent chiral triplet pairing scenario proposed for Sr${}_2$RuO${}_4$. To provide guidance from microscopic theory as to which other pair states might be compatible with the new data, we perform a detailed theoretical study of spin-fluctuation mediated pairing for this compound. We map out the phase diagram as a function of spin-orbit coupling, interaction parameters, and band-structure properties over physically reasonable ranges, comparing when possible with photoemission and inelastic neutron scattering data information. We find that even-parity pseudospin singlet solutions dominate large regions of the phase diagram, but in certain regimes spin-orbit coupling favors a near-nodal odd-parity triplet superconducting state, which is either helical or chiral depending on the proximity of the $\gamma$ band to the van Hove points. A surprising near-degeneracy of the nodal $s^{\prime }$- and $d_{x^2-y^2}$-wave solutions leads to the possibility of a near-nodal time-reversal symmetry broken $s^{\prime }+i{d}_{x^2-y^2}$ pair state. Predictions for the temperature dependence of the Knight shift for fields in and out of plane are presented for all states.

5 pages (3 figures) + supplementary information

References in corpus (8)

• Pronounced drop of ${}^{17}$O NMR Knight shift in superconducting state of Sr${}_2$RuO${}_4$
• Hubbard U and Hund's Exchange J in Transition Metal Oxides: Screening vs. Localization Trends from Constrained Random Phase Approximation
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• The coherence-incoherence crossover and the mass-renormalization puzzles in Sr2RuO4
• Strong spin-orbit coupling effects on the Fermi surface of Sr2RuO4 and Sr2RhO4
• Spin fluctuations in Sr2RuO4 from polarized neutron scattering: implications for superconductivity
• Anisotropic spin fluctuations in Sr${}_2$RuO${}_4$: role of spin-orbit coupling and induced strain
• Absence of ${}^{17}$O Knight-Shift Changes across the First-Order Phase Transition Line in Sr${}_2$RuO${}_4$

Cited by in corpus (76)

• Split superconducting and time-reversal symmetry-breaking transitions, and magnetic order in Sr${}_2$RuO${}_4$ under uniaxial stress
• Thermodynamic Evidence for a Two-Component Superconducting Order Parameter in Sr${}_2$RuO${}_4$
• Minimal Models for Altermagnetism
• A proposal for reconciling diverse experiments on the superconducting state in Sr2RuO4
• Quartic metal: Spontaneous breaking of time-reversal symmetry due to four-fermion correlations in Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$
• Momentum Resolved Superconducting Energy Gaps of Sr${}_2$RuO${}_4$ from Quasiparticle Interference Imaging
• Evidence for even parity unconventional superconductivity in Sr${}_2$RuO${}_4$
• High sensitivity heat capacity measurements on Sr2RuO4 under uniaxial pressure
• Reduction of the spin susceptibility in the superconducting state of Sr2RuO4 observed by polarized neutron scattering
• Superconducting Instabilities in Strongly-Correlated Infinite-Layer Nickelates
• Unsplit superconducting and time reversal symmetry breaking transitions in Sr${}_2$RuO${}_4$ under hydrostatic pressure and disorder
• Sensitive dependence of pairing symmetry on Ni-$e_g$ crystal field splitting in the nickelate superconductor La${}_3$Ni${}_2$O${}_7$
• 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
• Superconductivity from repulsive interactions on the kagome lattice
• 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${}_4$
• Unconventional superconductivity protected from disorder on the kagome lattice
• Spin-orbit coupling and spin-triplet pairing symmetry in $\mathrm{S}{\mathrm{r}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Quasiparticle Interference of the van-Hove singularity in Sr${}_2$RuO${}_4$
• Heat capacity double transitions in time-reversal symmetry broken superconductors
• 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
• Leading superconducting instabilities in three-dimensional models for Sr2RuO4
• Spontaneous superconducting diode effect in non-magnetic Nb/Ru/Sr${}_2$RuO${}_4$ topological junctions
• Supercurrents and spontaneous time-reversal symmetry breaking by nonmagnetic disorder in unconventional superconductors
• Spontaneous time-reversal symmetry breaking by disorder in superconductors
• Orbital-dependent self-energy effects and consequences for the superconducting gap structure in multi-orbital correlated electron systems
• Chiral and topological superconductivity in isospin polarized multilayer graphene
• Revisiting superconductivity in the extended one-band Hubbard model: pairing via spin and charge fluctuations
• Neutron scattering studies on spin fluctuations in Sr${}_2$RuO${}_4$
• In-plane magnetic penetration depth in Sr${}_2$RuO${}_4$: muon-spin rotation/relaxation study
• Higher angular momentum pairing states in Sr${}_2$RuO${}_4$ in the presence of longer-range interactions
• Thermodynamic transitions and topology of spin-triplet superconductivity: Application to UTe${}_2$
• $\mu$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
• Hidden anomalous Hall effect in Sr${}_2$RuO${}_4$ with chiral superconductivity dominated by the Ru $d_{xy}$ orbital
• Impact of random impurities on the anomalous Hall effect in chiral superconductors
• 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
• 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${}_4$
• Fluctuation-driven superconductivity in Sr${}_2$RuO${}_4$ from weak repulsive interactions
• Existence of Hebel-Slichter peak in unconventional kagome superconductors
• 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${}_4$
• Degeneracy between even- and odd-parity superconductivity in the quasi-1D Hubbard model and implications for Sr2RuO4
• Electronic structure correspondence of singlet-triplet scale separation in strained Sr2RuO4
• Conditions for orbital selective altermagnetism in Sr${}_2$RuO${}_4$: tight binding model, similarities with cuprates and implications on superconductivity
• Pair-breaking in superconductors with strong spin-orbit coupling
• Impurity induced double transitions for accidentally degenerate unconventional pairing states
• Effects of orbital selective dynamical correlation on the spin susceptibility and superconducting symmetries in Sr${}_2$RuO${}_4$
• Ising and XY paramagnons in two-dimensional 2H-NbSe${}_2$
• Magic angle of Sr${}_2$RuO${}_4$: Optimizing correlation-driven superconductivity
• Strain-induced superconductivity in Sr2IrO4
• 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
• Unconventional pairing in Ising superconductors: Application to monolayer NbSe${}_2$
• 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
• Uniaxial stress effect on the electronic structure of quantum materials
• Nonlocal electrodynamics and the penetration depth of superconducting Sr${}_2$RuO${}_4$
• First order superconducting phase transition in chiral $p+ip$ system
• Spin fluctuations in the ultranodal superconducting state of Fe(Se,S)
• Thermal fluctuations and vortex lattice structures in chiral $p$-wave superconductors: robustness of double-quanta vortices
• Spin Fluctuations in Sr${}_{1.8}$La${}_{0.2}$RuO${}_4$
• Gor'kov-Hedin-Baym Equations for Quantum Many-Body Systems with Spin-Dependent Interactions
• Distinguishing $d_{xz}+i{d}_{yz}$ and $d_{x^2-y^2}$ pairing in $S{r}_{2}Ru{O}_4$ by high magnetic field H-T phase diagrams
• Why Scanning Tunneling Microscopy on Sr${}_2$RuO${}_4$ sometimes doesn't see the superconducting gap
• Unconventional superconductivity in monolayer transition metal dichalcogenides
• Phenomenological model for the third-harmonic magnetic response of superconductors: application to Sr${}_2$RuO${}_4$
• Topological Superconductivity in Sn/Si(111) driven by non-local Coulomb interactions
• Onset of spin-valley order and Stoner boundaries in twisted WSe${}_2$
• Influence of Fermi Surface Geometry and Van Hove Singularities on the Optical Response of Sr${}_2$RuO${}_4$