Ultrasound evidence for a two-component superconducting order parameter in Sr${}_2$RuO${}_4$

Abstract

The quasi-2D metal Sr${}_2$RuO${}_4$ is one of the best characterized unconventional superconductors, yet the nature of its superconducting order parameter is still highly debated. This information is crucial to determine the pairing mechanism of Cooper pairs. Here we use ultrasound velocity to probe the superconducting state of Sr${}_2$RuO${}_4$. This thermodynamic probe is symmetry-sensitive and can help to identify the superconducting order symmetry. Indeed, we observe a sharp jump in the shear elastic constant $c_{66}$ as the temperature is raised across the superconducting transition at $T_c$. This directly implies that the superconducting order parameter is of a two-component nature. Based on symmetry argument and given the other known properties of Sr${}_2$RuO${}_4$, we discuss what states are compatible with this requirement and propose that the two-component order parameter, namely $\{d_{xz};d_{yz}\}$, is the most likely candidate.

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Cited by in corpus (75)

• 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${}_4$
• Quartic metal: Spontaneous breaking of time-reversal symmetry due to four-fermion correlations in Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$
• Evidence for even parity unconventional superconductivity in Sr${}_2$RuO${}_4$
• High sensitivity heat capacity measurements on Sr2RuO4 under uniaxial pressure
• Unsplit superconducting and time reversal symmetry breaking transitions in Sr${}_2$RuO${}_4$ under hydrostatic pressure and disorder
• Orientation-dependent Josephson effect in spin-singlet superconductor/altermagnet/spin-triplet superconductor junctions
• 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
• Theory of nematic charge orders in kagome metals
• 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${}_4$
• 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
• Intrinsic nature of spontaneous magnetic fields in superconductors with time-reversal symmetry breaking
• Leading superconducting instabilities in three-dimensional models for Sr2RuO4
• Strain-induced time reversal breaking and half quantum vortices near a putative superconducting tetra-critical point in Sr${}_2$RuO${}_4$
• Optical Manipulation of Domains in Chiral Topological Superconductors
• Constraints on the superconducting state of Sr${}_2$RuO${}_4$ from elastocaloric measurements
• Cascade of vestigial orders in two-component superconductors: nematic, ferromagnetic, s-wave charge-4e, and d-wave charge-4e states
• Destruction of surface states of ($d_{zx}+i{d}_{yz}$)-wave superconductor by surface roughness: application to Sr${}_2$RuO${}_4$
• Multiband mean-field theory of the $d+ig$ superconductivity scenario in Sr${}_2$RuO${}_4$
• $\mu$SR measurements on Sr${}_2$RuO${}_4$ under $⟨110⟩$ uniaxial stress
• 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${}_4$
• $T_c$ and the elastocaloric effect of Sr${}_2$RuO${}_4$ under $⟨110⟩$ uniaxial stress: no indications of transition splitting
• 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
• Competition between d-wave superconductivity and magnetism in uniaxially strained Sr2RuO4
• Possibility of mixed helical p-wave pairings in Sr${}_2$RuO${}_4$
• Prediction of anomalies in the velocity of sound for the pseudogap of hole-doped cuprates
• 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
• Quantum-geometry-induced anomalous Hall effect in nonunitary superconductors and application to Sr${}_2$RuO${}_4$
• Nodal gaps from local interactions in Sr${}_2$RuO${}_4$
• Effects of orbital selective dynamical correlation on the spin susceptibility and superconducting symmetries in Sr${}_2$RuO${}_4$
• Disorder-dependent superconducting pairing symmetry in doped graphene
• Possible two-component spin-singlet pairings in Sr2RuO4
• Superconducting gap symmetry from Bogoliubov quasiparticle interference analysis on {Sr}${}_2${RuO}${}_4$
• A Review of Electronic Transport in Superconducting Sr${}_2$RuO${}_4$ Junctions
• 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
• First order superconducting phase transition in chiral $p+ip$ system
• Evolution of Interorbital Superconductor to Intraorbital Spin-Density Wave in Layered Ruthenates
• Negatively enhanced thermopower near a Van Hove singularity in electron-doped Sr${}_2$RuO${}_4$
• High-pressure synthesis of Ba${}_2$RhO${}_4$, a rhodate analogue of the layered perovskite Sr-ruthenate
• Symmetry Aspects of Chiral Superconductors
• Ultrasound evidence for multicomponent superconducting order parameter in Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$ with electron quadrupling phase
• Direct evidence for the absence of coupling between shear strain and superconductivity in Sr2RuO4
• Strontium Ferrite Under Pressure: Potential Analogue to Strontium Ruthenate
• Carrier filtering effect for enhanced thermopower in a body-centered tetragonal ruthenate
• Polar Kerr Effect in Multiband Spin-Orbit Coupled Superconductors
• Tight-Binding Superconducting Phases in the Unconventional Compounds Strontium-Substituted Lanthanum Cuprate and Strontium Ruthenate
• Nematicity Arising from a Chiral Superconducting Ground State in Magic-Angle Twisted Bilayer Graphene under In-Plane Magnetic Fields
• Shear Modulus Anomaly of Unconventional Superconductor in a Symmetry Breaking Field
• Quasi-point versus point nodes in $S{r}_{2}Ru{O}_4$, the case of a flat tight binding $\gamma$ sheet
• Axionic Acoustic Phonons from Weyl Semimetals
• Thermal fluctuations and vortex lattice structures in chiral $p$-wave superconductors: robustness of double-quanta vortices
• Examining the possibility of chiral superconductivity in Sr${}_2$RuO${}_4$ and other compounds via applied supercurrent
• Frequency-Dependent Superconducting States From the Two-Time Linear Response Theory: Application To Sr${}_2$RuO${}_4$
• 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
• Competing spin-fluctuations in Sr${}_2$RuO${}_4$ and their tuning through epitaxial strain
• Dynamic Simulations of Strongly Coupled Spin Ensembles for Inferring Nature of Electronic Correlations from Nuclear Magnetic Resonance
• Spin Fluctuations in Sr${}_{1.8}$La${}_{0.2}$RuO${}_4$
• Josephson effects in the spin-triplet superconductor/altermagnet/spin-triplet superconductor junctions: the detection of the intrinsic $\mathbf{d}$-vector
• Ultrasonic Observation of Slowing Down of Multipole Fluctuations in Sr${}_2$RuO${}_4$
• Strain-induced Berry phase in chiral superconductors
• Fingerprints of possible even-parity superconducting states in Sr${}_2$RuO${}_4$ detected by planar tunneling spectroscopy
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems
• Pairing symmetries in the Zeeman-coupled extended attractive Hubbard model
• The role of transverse anisotropic elastic waves and Ehrenfest relationships in the superconducting state of the compound Sr${}_2$RuO${}_4$
• Non-magnetic tight binding disorder effects in the $\gamma$ sheet of $S{r}_{2}Ru{O}_4$