Leading superconducting instabilities in three-dimensional models for Sr2RuO4

Abstract

The superconductor Sr2RuO4 has been the subject of enormous interest over more than two decades, but until now the form of its order parameter has not been determined. Since groundbreaking NMR experiments revealed that the pairs are of dominant spin-singlet character, attention has focused on time-reversal symmetry breaking linear combinations of $s$-, $d$- and $g$-wave one-dimensional (1D) irreducible representations. However, a state of the form $d_{xz}+i{d}_{yz}$ has also been proposed. We present a systematic study of the stability of various superconducting candidate states, assuming that pairing is driven by the fluctuation exchange mechanism, including a realistic three-dimensional Fermi surface, full treatment of both local and non-local spin-orbit couplings, and a wide range of interaction parameters $U,J,U^{\prime },J^{\prime }$. The leading superconducting instabilities are found to exhibit nodal even-parity $A_{1g}(s^{\prime })$ or $B_{1g}(d_{x^2-y^2})$ symmetries, similar to the findings in two-dimensional models without longer-range Coulomb interaction which tends to favor $d_{xy}$ over $d_{x^2-y^2}$. Within the so-called Hund's coupling mean-field pairing scenario, the $E_g(d_{xz}/d_{yz})$ solution can be stabilized for large $J$ and specific forms of the spin-orbit coupling, but for all cases studied here the eigenvalues of other superconducting solutions are significantly larger when the full fluctuation exchange vertex is included in the pairing kernel. Additionally, we compute the spin susceptibility in relevant superconducting candidate phases and compare to recent neutron scattering and NMR Knight shift measurements.

arXiv comment11 pages, 5 figures

References in corpus (59)

• Colossal Magnetoresistant Materials: The Key Role of Phase Separation
• A Common Thread: the pairing interaction for the unconventional superconductors
• Time-Reversal Symmetry Breaking Superconductivity in Sr2RuO4
• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• 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
• The coherence-incoherence crossover and the mass-renormalization puzzles in Sr2RuO4
• Fermi Surface, Surface States, and Surface Reconstruction in Sr2RuO4
• Strong spin-orbit coupling effects on the Fermi surface of Sr2RuO4 and Sr2RhO4
• High-resolution photoemission on Sr2RuO4 reveals correlation-enhanced effective spin-orbit coupling and dominantly local self-energies
• Split superconducting and time-reversal symmetry-breaking transitions, and magnetic order in Sr${}_2$RuO${}_4$ under uniaxial stress
• Reduction of the ${}^{17}$O Knight shift in the Superconducting State and the Heat-up Effect by NMR Pulses on Sr${}_2$RuO${}_4$
• Thermodynamic Evidence for a Two-Component Superconducting Order Parameter in Sr${}_2$RuO${}_4$
• Ultrasound evidence for a two-component superconducting order parameter in Sr${}_2$RuO${}_4$
• Pairing symmetry and dominant band in Sr2RuO4
• A proposal for reconciling diverse experiments on the superconducting state in Sr2RuO4
• Stabilizing Even-Parity Chiral Superconductivity in Sr${}_2$RuO${}_4$
• Superconductivity from emerging magnetic moments
• Knight Shift and Leading Superconducting Instability From Spin Fluctuations in Sr2RuO4
• Vertical line nodes in the superconducting gap structure of Sr2RuO4
• Evidence for even parity unconventional superconductivity in Sr${}_2$RuO${}_4$
• Phase-sensitive tests of the pairing state symmetry in Sr2RuO4
• Hund interaction, spin-orbit coupling and the mechanism of superconductivity in strongly hole-doped iron pnictides
• High sensitivity heat capacity measurements on Sr2RuO4 under uniaxial pressure
• Superconducting order parameter of Sr${}_2$RuO${}_4$: a microscopic perspective
• Pairing symmetry of the one-band Hubbard model in the paramagnetic weak-coupling limit: a numerical RPA study
• 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
• Inhomogeneous time-reversal symmetry breaking in ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Identifying spin-triplet pairing in spin-orbit coupled multi-band superconductors
• Magnetic response of Sr${}_2$RuO${}_4$: quasi-local spin fluctuations due to Hund's coupling
• Spin-triplet superconductivity in Sr2RuO4 due to orbital and spin fluctuations: Analyses by two-dimensional renormalization group theory and self-consistent vertex-correction method
• Spin Triplet Superconductivity in Sr2RuO4 due to Orbital and Spin Fluctuations: Analysis by Two-Dimensional Renormalization Group Theory
• 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
• Electronic theory for the normal state spin dynamics in Sr${}_2$RuO${}_4$: anisotropy due to spin-orbit coupling
• Pairing in the Two-Dimensional Hubbard Model from Weak to Strong Coupling
• Theory of chiral $p$-wave superconductivity with near-nodes for Sr${}_2$RuO${}_4$
• The Resonance Peak in Sr${}_2$RuO${}_4$: Signature of Spin Triplet Pairing
• 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${}_4$
• Possible three-dimensional nematic odd-parity superconductivity in Sr${}_2$RuO${}_4$
• Shadowed triplet pairings in Hund's metals with spin-orbit coupling
• Spin-orbit coupling and spin-triplet pairing symmetry in $\mathrm{S}{\mathrm{r}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Anisotropic spin fluctuations in Sr${}_2$RuO${}_4$: role of spin-orbit coupling and induced strain
• Higher angular momentum pairings in interorbital shadowed-triplet superconductors: Application to Sr${}_2$RuO${}_4$
• Inter-orbital singlet pairing in Sr${}_2$RuO${}_4$: a Hund's superconductor
• Multi-orbital nature of the spin fluctuations in Sr${}_2$RuO${}_4$
• Hund's coupling stabilized superconductivity in the presence of spin-orbit interactions
• Horizontal Line Nodes in Sr2RuO4 Proved by Spin Resonance
• Spin gap and L modulated intensity at the low-energy incommensurate magnetic fluctuations in the superconducting state of Sr2RuO4
• Mixed-Parity Superconductivity in Sr2RuO4
• Neutron scattering studies on spin fluctuations in Sr${}_2$RuO${}_4$
• Absence of a large superconductivity-induced gap in magnetic fluctuations of Sr2RuO4
• A microscopic Ginzburg--Landau theory and singlet ordering in Sr${}_2$RuO${}_4$
• Residual spin susceptibility in the spin-triplet, orbital-singlet model
• Spin susceptibility for orbital-singlet Cooper pair in the three-dimensional Sr${}_2$RuO${}_4$ superconductor
• Fluctuation-driven superconductivity in Sr${}_2$RuO${}_4$ from weak repulsive interactions
• Frequency-dependent Inter-pseudospin Solutions to Superconducting Strontium Ruthenate

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• Spin fluctuations in the ultranodal superconducting state of Fe(Se,S)
• Polar Kerr Effect in Multiband Spin-Orbit Coupled Superconductors
• Why Scanning Tunneling Microscopy on Sr${}_2$RuO${}_4$ sometimes doesn't see the superconducting gap