Inhomogeneous time-reversal symmetry breaking in ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$

Abstract

We show that the observed time-reversal symmetry breaking (TRSB) of the superconducting state in ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$ can be understood as originating from inhomogeneous strain fields near edge dislocations of the crystal. Specifically, we argue that, without strain inhomogeneities, ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$ is a single-component, time-reversal symmetric superconductor, likely with $d_{x^2-y^2}$ symmetry. However, due to the strong strain inhomogeneities generated by dislocations, a slowly-decaying sub-leading pairing state contributes to the condensate in significant portions of the sample. As it phase winds around the dislocation, time-reversal symmetry is locally broken. Global phase locking and TRSB occur at a sharp Ising transition that is not accompanied by a change of the single-particle gap and yields a very small heat capacity anomaly. Our model thus explains the puzzling absence of a measurable heat capacity anomaly at the TRSB transition in strained samples, and the dilute nature of the time-reversal symmetry broken state probed by muon spin rotation experiments. We propose that plastic deformations of the material may be used to manipulate the onset of broken time-reversal symmetry.

arXiv comment12 pages, 6 figures

References in corpus (39)

• 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${}_4$
• Chiral P-Wave Order in Sr_2RuO_4
• The coherence-incoherence crossover and the mass-renormalization puzzles in Sr2RuO4
• Hidden quasi one-dimensional superconductivity in Sr${}_2$RuO${}_4$
• 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${}_4$
• Nematicity as a probe of superconducting pairing in iron-based superconductors
• Ultrasound evidence for a two-component superconducting order parameter in Sr${}_2$RuO${}_4$
• The role of domain walls on the vortex creep dynamics in unconventional superconducors
• Pairing symmetry and dominant band in Sr2RuO4
• Stabilizing Even-Parity Chiral Superconductivity in Sr${}_2$RuO${}_4$
• A proposal for reconciling diverse experiments on the superconducting state in Sr2RuO4
• Theory of superconductivity in a three-orbital model of 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
• 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
• The Non-Perturbative Quantum Nature of the Dislocation-Phonon Interaction
• 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
• Micron-scale measurements of low anisotropic strain response of local $T_c$ in Sr${}_2$RuO${}_4$
• Superconducting order of ${\mathrm{Sr}}_2{\mathrm{RuO}}_4$ from a three-dimensional microscopic model
• Band-structure effects on superconductivity in Hubbard models
• Dislocations and the enhancement of superconductivity in odd-parity superconductor Sr${}_2$RuO${}_4$
• Exotic Cooper pairing in multi-orbital models of Sr${}_2$RuO${}_4$
• Superconducting pairing in Sr${}_2$RuO${}_4$ from weak to intermediate coupling
• Quasiclassical theory of twin boundaries in High-T_c superconductors
• Twin boundaries in d-wave superconductors
• Sr_2 Ru O_4 : Broken Time-Reversal Symmetry in the Superconducting state
• Random Field Induced Order in Low Dimension
• Unconventional superconducting pairing symmetry induced by phonons
• Classical Spin Models with Broken Continuous Symmetry: Random Field Induced Order and Persistence of Spontaneous Magnetization
• Classical spin models with broken symmetry: Random Field Induced Order and Persistence of spontaneous magnetization in presence of a random field
• Symmetry-mixed bound-state order: extended degeneracy of $(d+ig)$-superconductivity in ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Second-phase nucleation on an edge dislocation

Cited by in corpus (40)

• Signatures of Chiral Superconductivity in Rhombohedral Graphene
• Evidence for even parity unconventional superconductivity in Sr${}_2$RuO${}_4$
• 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
• Unveiling unconventional magnetism at the surface of 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
• Intrinsic nature of spontaneous magnetic fields in superconductors with time-reversal symmetry breaking
• Thermodynamic and electrical transport properties of UTe${}_2$ under uniaxial stress
• Leading superconducting instabilities in three-dimensional models for Sr2RuO4
• Magnetism-driven unconventional effects in Ising superconductors: role of proximity, tunneling, and nematicity
• Supercurrents and spontaneous time-reversal symmetry breaking by nonmagnetic disorder in unconventional superconductors
• Spontaneous time-reversal symmetry breaking by disorder in superconductors
• Mechanisms of the in-plane magnetic anisotropy in superconducting NbSe2
• 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
• Cascade of vestigial orders in two-component superconductors: nematic, ferromagnetic, s-wave charge-4e, and d-wave charge-4e states
• In-plane magnetic penetration depth in Sr${}_2$RuO${}_4$: muon-spin rotation/relaxation study
• $\mu$SR measurements on Sr${}_2$RuO${}_4$ under $⟨110⟩$ uniaxial stress
• A microscopic Ginzburg--Landau theory and singlet ordering in Sr${}_2$RuO${}_4$
• 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${}_4$
• 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${}_4$
• 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${}_4$
• Anisotropic field-induced changes in the superconducting order parameter of UTe2
• Time-reversal symmetry breaking from lattice dislocations in superconductors
• Superconducting gap symmetry from Bogoliubov quasiparticle interference analysis on {Sr}${}_2${RuO}${}_4$
• Proximity effect of time-reversal symmetry broken non-centrosymmetric superconductors
• Defect-induced electronic smectic state at the surface of nematic materials
• Pair-Kondo effect: a mechanism for time-reversal broken superconductivity in UTe${}_2$
• Surface State of Inter-orbital Pairing State in Sr${}_2$RuO${}_4$ Superconductor
• Polar Kerr Effect in Multiband Spin-Orbit Coupled Superconductors
• Phase sensitive information from a planar Josephson junction
• Phenomenological model for the third-harmonic magnetic response of superconductors: application to Sr${}_2$RuO${}_4$
• Why Scanning Tunneling Microscopy on Sr${}_2$RuO${}_4$ sometimes doesn't see the superconducting gap
• Signature of chiral superconducting order parameter evidenced in mesoscopic superconductors