Split superconducting and time-reversal symmetry-breaking transitions, and magnetic order in Sr${}_2$RuO${}_4$ under uniaxial stress

Abstract

Among unconventional superconductors, Sr${}_2$RuO${}_4$ has become a benchmark for experimentation and theoretical analysis because its normal-state electronic structure is known with exceptional precision, and because of experimental evidence that its superconductivity has, very unusually, a spontaneous angular momentum, i.e. a chiral state. This hypothesis of chirality is however difficult to reconcile with recent evidence on the spin part of the order parameter. Measurements under uniaxial stress offer an ideal way to test for chirality, because under uniaxial stress the superconducting and chiral transitions are predicted to split, allowing the empirical signatures of each to be identified separately. Here, we report zerofield muon spin relaxation (ZF-$\mu$SR) measurements on crystals placed under uniaxial stresses of up to 1.05 GPa. We report a clear stress-induced splitting between the onset temperatures of superconductivity and time-reversal symmetry breaking, consistent with qualitative expectations for chiral superconductivity. We also report the appearance of unexpected bulk magnetic order under a uniaxial stress of ~ 1.0 GPa in clean Sr${}_2$RuO${}_4$.

28 pages, 12 figures

References in corpus (46)

• 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
• musrfit: A free platform-independent framework for muSR data analysis
• Evaluation of Spin-Triplet Superconductivity in Sr2RuO4
• Pronounced drop of ${}^{17}$O NMR Knight shift in superconducting state of Sr${}_2$RuO${}_4$
• Properties of the Ideal Ginzburg-Landau Vortex Lattice
• Strong Peak in $T_c$ of Sr${}_2$RuO${}_4$ Under Uniaxial Pressure
• Chiral P-Wave Order in Sr_2RuO_4
• Observation of broken time-reversal symmetry in the heavy fermion superconductor UPt${}_3$
• A polarized neutron-scattering study of the Cooper-pair moment in Sr2RuO4
• Limits on Superconductivity-Related Magnetization in Sr${}_2$RuO${}_4$ and PrOs${}_4$Sb${}_{12}$ from Scanning SQUID Microscopy
• 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${}_4$
• A proposal for reconciling diverse experiments on the superconducting state in Sr2RuO4
• Stabilizing Even-Parity Chiral Superconductivity in Sr${}_2$RuO${}_4$
• Emerging superconductivity with broken time reversal symmetry inside a superconducting $s$-wave state
• Direct Observation of a Uniaxial Stress-driven Lifshitz Transition 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
• Absence of zero field muon spin relaxation induced by superconductivity in the B phase of UPt${}_3$
• Incommensurate magnetic ordering in Sr_2Ru_(1-x)Ti_xO_4
• Comparison of different methods for analyzing $\mu$SR line shapes in the vortex state of type-II superconductors
• Magnetic ordering in Sr2RuO4 induced by nonmagnetic impurities
• High sensitivity heat capacity measurements on Sr2RuO4 under uniaxial pressure
• Superconducting order parameter of Sr${}_2$RuO${}_4$: a microscopic perspective
• Spin fluctuations in Sr2RuO4 from polarized neutron scattering: implications for superconductivity
• Reduction of the spin susceptibility in the superconducting state of Sr2RuO4 observed by polarized neutron scattering
• Vortex lattices and broken time reversal symmetry in the topological superconductor UPt3
• Superconductivity with broken time reversal symmetry in ion irradiated Ba${}_{0.27}$K${}_{0.73}$Fe${}_2$As${}_2$ single crystals
• Identifying spin-triplet pairing in spin-orbit coupled multi-band superconductors
• A key role of correlation effects in the Lifshitz transition in Sr${}_2$RuO${}_4$
• Micron-scale measurements of low anisotropic strain response of local $T_c$ in Sr${}_2$RuO${}_4$
• Time-Reversal Invariant Superconductivity of Sr${}_2$RuO${}_4$ Revealed by Josephson Effects
• Anomalous switching in Nb/Ru/Sr2RuO4 topological junctions by chiral domain wall motion
• Improved Single-Crystal Growth of Sr${}_2$RuO${}_4$
• Avoided ferromagnetic quantum critical point: Unusual short-range ordered state in CeFePO
• Theory of Strain-Induced Magnetic Order and Splitting of $T_c$ and $T_{\mathrm{TRSB}}$ in Sr${}_2$RuO${}_4$
• Theory of the Evolution of Superconductivity in Sr${}_2$RuO${}_4$ under Anisotropic Strain
• Anisotropic spin fluctuations in Sr${}_2$RuO${}_4$: role of spin-orbit coupling and induced strain
• Fluctuation and strain effects in a chiral $p$-wave superconductor
• Close proximity of FeSe to a magnetic quantum critical point as revealed by high-resolution $\mu$SR measurements
• Piezoelectric-driven uniaxial pressure cell for muon spin relaxation and neutron scattering experiments
• Broken time-reversal symmetry in superconducting Pr${}_{1-x}$La${}_x$Pt${}_4$Ge${}_{12}$
• Magnetic order and spin dynamics in the proximity of a ferromagnetic quantum critical point: A μSR study of YbNi4P2
• Effect of strain inhomogeneity on a chiral p-wave superconductor

Cited by in corpus (108)

• Charge order breaks time-reversal symmetry in CsV${}_3$Sb${}_5$
• Ultrasound evidence for a two-component superconducting order parameter in Sr${}_2$RuO${}_4$
• Microscopic evidence for anisotropic multigap superconductivity in the CsV${}_3$Sb${}_5$ kagome superconductor
• 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${}_4$
• Elastocaloric determination of the phase diagram of 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
• The Superconductivity of Sr${}_2$RuO${}_4$ Under $c$-Axis Uniaxial Stress
• Perspective on the muon-spin rotation/relaxation under hydrostatic pressure
• 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${}_4$
• Time-reversal symmetry breaking and multigap superconductivity in the noncentrosymmetric superconductor La${}_7$Ni${}_3$
• 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
• Thermodynamic and electrical transport properties of UTe${}_2$ under uniaxial stress
• Calorimetric evidence for two phase transitions in Ba${}_{1-\mathrm{x}}$K${}_{\mathrm{x}}$Fe${}_2$As${}_2$ with fermion pairing and quadrupling states
• Leading superconducting instabilities in three-dimensional models for Sr2RuO4
• Spontaneous superconducting diode effect in non-magnetic Nb/Ru/Sr${}_2$RuO${}_4$ topological junctions
• Strain-induced time reversal breaking and half quantum vortices near a putative superconducting tetra-critical point in Sr${}_2$RuO${}_4$
• Constraints on the superconducting state of Sr${}_2$RuO${}_4$ from elastocaloric measurements
• Modified interlayer stacking and insulator to correlated-metal transition driven by uniaxial strain in 1$T$-TaS${}_2$
• Uniaxial strain control of bulk ferromagnetism in rare-earth titanates
• In-plane magnetic penetration depth in Sr${}_2$RuO${}_4$: muon-spin rotation/relaxation study
• Heat-capacity measurements under uniaxial pressure using a piezo-driven device
• Phenomenology of bond and flux orders in kagome metals
• Effects of intercomponent couplings on the appearance of time-reversal symmetry breaking fermion quadrupling state in two-component London models
• Multiband mean-field theory of the $d+ig$ superconductivity scenario in Sr${}_2$RuO${}_4$
• Destruction of surface states of ($d_{zx}+i{d}_{yz}$)-wave superconductor by surface roughness: application to Sr${}_2$RuO${}_4$
• 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
• Thermodynamic transitions and topology of spin-triplet superconductivity: Application to UTe${}_2$
• A microscopic Ginzburg--Landau theory and singlet ordering in Sr${}_2$RuO${}_4$
• Multipole-fluctuation pairing mechanism of $d_{x^2-y^2}+ig$ superconductivity in Sr${}_2$RuO${}_4$
• Designing the stripe-ordered cuprate phase diagram through uniaxial-stress
• Strong Increase in Ultrasound Attenuation Below T${}_{\mathrm{c}}$ in Sr${}_2$RuO${}_4$: Possible Evidence for Domains
• Magnetically-textured superconductivity in elemental Rhenium
• Breakdown of the Wiedemann-Franz law at the Lifshitz point of strained Sr${}_2$RuO${}_4$
• $T_c$ and the elastocaloric effect of Sr${}_2$RuO${}_4$ under $⟨110⟩$ uniaxial stress: no indications of transition splitting
• Possibility of mixed helical p-wave pairings in Sr${}_2$RuO${}_4$
• Competition between d-wave superconductivity and magnetism in uniaxially strained Sr2RuO4
• Enhanced Seebeck coefficient through the magnetic fluctuations in Sr${}_2$Ru${}_{1-x}{M}_x$O${}_4$ ($M=$ Co, Mn)
• Suppressed fluctuations as the origin of the static magnetic order in strained Sr${}_2$RuO${}_4$
• Conditions for orbital selective altermagnetism in Sr${}_2$RuO${}_4$: tight binding model, similarities with cuprates and implications on superconductivity
• Nodal gaps from local interactions in Sr${}_2$RuO${}_4$
• Electronic structure correspondence of singlet-triplet scale separation in strained Sr2RuO4
• 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
• Fate of density waves in the presence of a higher order van Hove singularity
• Robustness of chiral surface current and subdominant $s$-wave Cooper pairs
• Emergent properties and the multiscale characterization challenge in condensed matter, from crystals to complex materials: a Review
• Stability of Bogoliubov Fermi Surfaces within BCS Theory
• In-situ uniaxial pressure cell for X-ray and neutron scattering experiments
• Possible two-component spin-singlet pairings in Sr2RuO4
• Quantum muon diffusion and the preservation of time-reversal symmetry in the superconducting state of type-I rhenium
• Effects of orbital selective dynamical correlation on the spin susceptibility and superconducting symmetries in Sr${}_2$RuO${}_4$
• Time reversal symmetry breaking and s-wave superconductivity in CaPd2Ge2: A $\mu$SR study
• A Review of Electronic Transport in Superconducting Sr${}_2$RuO${}_4$ Junctions
• Proximity effect of time-reversal symmetry broken non-centrosymmetric superconductors
• Nodeless time-reversal symmetry breaking in the centrosymmetric superconductor Sc${}_5$Co${}_4$Si${}_{10}$ probed by muon-spin spectroscopy
• Tunable electronic and magnetic phases in layered ruthenates: SrRuO3-SrTiO3 heterostructure upon strain
• Strain tuning of highly frustrated magnets: Order and disorder in the distorted kagome Heisenberg antiferromagnet
• Superconducting gap symmetry from Bogoliubov quasiparticle interference analysis on {Sr}${}_2${RuO}${}_4$
• Uniaxial stress effect on the electronic structure of quantum materials
• Reconciling $\pi$ phase shift in Josephson junction experiments with even-parity superconductivity in Sr${}_2$RuO${}_4$
• Negatively enhanced thermopower near a Van Hove singularity in electron-doped Sr${}_2$RuO${}_4$
• Absence of spontaneous time-reversal symmetry breaking and ferromagnetism in superconducting NiBi3 single crystal
• Symmetry Aspects of Chiral Superconductors
• First order superconducting phase transition in chiral $p+ip$ system
• Evolution of Interorbital Superconductor to Intraorbital Spin-Density Wave in Layered Ruthenates
• Ultrasound evidence for multicomponent superconducting order parameter in Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$ with electron quadrupling phase
• Electronic nematic order in the normal state of strontium ruthenate
• Vortex supercurrent inversion by frequency-symmetry conversion of Cooper pairs
• 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
• Muon Knight shift as a precise probe of the superconducting symmetry of Sr${}_2$RuO${}_4$
• A generalized framework for straintronics in 2D quantum materials using group theory
• Polar Kerr Effect in Multiband Spin-Orbit Coupled Superconductors
• Thermal fluctuations and vortex lattice structures in chiral $p$-wave superconductors: robustness of double-quanta vortices
• Tailoring the normal and superconducting state properties of ternary scandium tellurides, Sc${}_{6}M$Te${}_2$ ($M=$ Fe, Ru and Ir) through chemical substitution
• Shear Modulus Anomaly of Unconventional Superconductor in a Symmetry Breaking Field
• Pressure induced superconducting dome in LaNiGa2
• Spontaneous magnetic field and disorder effects in BaPtAs_1-x_Sb_x_ with honeycomb network
• Observation of metallic electronic structure in a single-atomic-layer oxide
• Development of microwave surface elastoresistivity measurement technique under tunable strain
• Frequency-Dependent Superconducting States From the Two-Time Linear Response Theory: Application To Sr${}_2$RuO${}_4$
• Examining the possibility of chiral superconductivity in Sr${}_2$RuO${}_4$ and other compounds via applied supercurrent
• Contrasting $c$-axis and in-plane uniaxial stress effects on superconductivity and stripe order in La${}_{1.885}$Ba${}_{0.115}$CuO${}_4$
• 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
• Resonant x-ray scattering study of charge-density wave correlations in YBa${}_2$Cu${}_3$O${}_{6+x}$ under uniaxial stress
• 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
• Phenomenological model for the third-harmonic magnetic response of superconductors: application to Sr${}_2$RuO${}_4$
• Spin Fluctuations in Sr${}_{1.8}$La${}_{0.2}$RuO${}_4$
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems
• Universal size-dependent nonlinear charge transport in single crystals of the Mott insulator Ca${}_2$RuO${}_4$
• The Superconducting Transition and Mixed State of YBa${}_2$Cu${}_3$O${}_{6.95}$: An Undergraduate Experiment
• Pairing symmetries in the Zeeman-coupled extended attractive Hubbard model
• Effective Ionic Valence and Local Magnetic Moment in Kagome Superconductors
• Josephson effects in the spin-triplet superconductor/altermagnet/spin-triplet superconductor junctions: the detection of the intrinsic $\mathbf{d}$-vector
• Strain-induced Berry phase in chiral superconductors
• Chiral Current Inversion Induced by Flat-Band Andreev Bound States
• Broken time-reversal symmetry detected by tunneling spectroscopy of superconducting Pd-doped CaAgP