Time-Reversal Symmetry Breaking Superconductivity in Sr2RuO4

Abstract

We report muon spin relaxation measurements on the superconductor Sr2RuO4 that reveal the spontaneous appearance of an internal magnetic field below the transition temperature: the appearance of such a field indicates that the superconducting state in this material is characterized by the breaking of time-reversal symmetry. These results, combined with other symmetry considerations, suggest that superconductivity in Sr2RuO4 is of p-wave (odd-parity) type, analogous to superfluid 3He.

References in corpus (1)

• Orbital dependent superconductivity in Sr_2RuO_4

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• Thirty Years of heavy Fermions: Scientific Setting for their Discovery and Partial Understanding
• Cascade of vestigial orders in two-component superconductors: nematic, ferromagnetic, s-wave charge-4e, and d-wave charge-4e states
• Magnetic fluctuations and spin freezing in nonsuperconducting LiFeAs derivatives
• Time-reversal symmetry breaking in frustrated superconductor Re${}_2$Hf
• Thermal Hall conductivity and topological transition in a chiral p-wave superconductor for Sr2RuO4
• Spin-Triplet Pairing State of Sr2RuO4 in the c-Axis Magnetic Field
• Absence of broken time reversal symmetry beneath the surface of YBCO films
• Theory of Josephson effect in chiral p-wave superconductor / diffusive normal metal / chiral p-wave superconductor junctions
• Formation of non-unitary state near the upper-critical field of Sr${}_2$RuO${}_4$
• In-plane magnetic penetration depth in Sr${}_2$RuO${}_4$: muon-spin rotation/relaxation study
• Spin-orbit Coupling and Multiple Phases in Spin-triplet Superconductor Sr${}_2$RuO${}_4$
• Muon spin rotation and infrared spectroscopy study of magnetism and superconductivity in Ba${}_{1-x}$K${}_x$Fe${}_2$As${}_2$
• Enhanced superconductivity at the interface of W/Sr${}_2$RuO${}_4$ point contact
• Influence of gap structures to specific heat in oriented magnetic fields: Application to the orbital dependent superconductor, Sr${}_2$RuO${}_4$
• Nematic superconductivity in the topological semimetal CaSn${}_3$
• Effects of hydrostatic pressure on the magnetic susceptibility of ruthenium oxide Sr3Ru2O7: Evidence for pressure-enhanced antiferromagnetic instability
• Orbital magnetic dynamics in chiral p-wave superconductors
• Low temperature electronic properties of Sr_2RuO_4 II: Superconductivity
• The penetration depth in Sr2RuO4: Evidence for orbital dependent superconductivity
• Signatures of Majorana bound states and parity effects in two-dimensional chiral p-wave Josephson junctions
• Numerical Renormalization Group Study of Kondo Effect in Unconventional Superconductors
• Anisotropy and multiband superconductivity in Sr2RuO4
• Transport properties of spin-triplet superconducting monolayer $Mo{S}_2$
• Simultaneous Evidence for Pauli Paramagnetic Effects and Multiband Superconductivity in KFe${}_2$As${}_2$ by Small-Angle Neutron Scattering Studies of the Vortex Lattice
• Multiorbital and hybridization effects in the quasiparticle interference of triplet superconductor Sr2RuO4
• Analysis of impurity-induced circular currents for the chiral superconductor Sr_{2}RuO_{4}
• Rotation-symmetry-enforced coupling of spin and angular momentum for p-orbital bosons
• Identifying possible pairing states in Sr${}_2$RuO${}_4$ by tunneling spectroscopy
• Raman Spectra of Triplet Superconductor in Sr${}_2$RuO${}_4$
• In-plane upper critical field anisotropy in Sr2RuO4 and CeIrIn5
• Chemical Principles of Intrinsic Topological Superconductors
• Anisotropy in the Antiferromagnetic Spin Fluctuations of Sr2RuO4
• Observability of surface currents in p-wave superconductors
• Andreev Bound states in One Dimensional Topological Superconductor
• Evidence for the coexistence of time-reversal symmetry breaking and Bardeen-Cooper-Schrieffer-like superconductivity in La${}_7$Pd${}_3$
• Upper Critical Field of the 3 Kelvin Phase in Sr2RuO4
• Anomalous Nonlocal Conductance as a Fingerprint of Chiral Majorana Edge States
• Symmetry-mixed bound-state order: extended degeneracy of $(d+ig)$-superconductivity in ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Fully gapped superconductivity in centrosymmetric and non-centrosymmetric Re-B compounds probed with $\mu$SR
• Hidden anomalous Hall effect in Sr${}_2$RuO${}_4$ with chiral superconductivity dominated by the Ru $d_{xy}$ orbital
• $\mu$SR measurements on Sr${}_2$RuO${}_4$ under $⟨110⟩$ uniaxial stress
• Observation of two species of vortices in the anisotropic spin-triplet superconductor $S{r}_{2}Ru{O}_4$
• Two-Gap Time Reversal Symmetry Breaking Superconductivity in Non-Centrosymmetric LaNiC2
• Is the anisotropy of the upper critical field of Sr${}_2$RuO${}_4$ consistent with a helical $p$-wave state?
• 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${}_2$
• Time-reversal symmetry breaking in superconductors through loop super-current order
• 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${}_4$
• Quasiparticle on Bogoliubov Fermi Surface and Odd-Frequency Cooper Pair
• Site-selective NMR for odd-frequency Cooper pairs around vortex in chiral p-wave superconductors
• Effect of magnetic fluctuations on the normal state properties of Sr_2RuO_4
• Impact of random impurities on the anomalous Hall effect in chiral superconductors
• Horizontal line nodes in superconducting Sr2RuO4
• Separated transport relaxation scales and interband scattering in SrRuO${}_3$, CaRuO${}_3$, and Sr${}_2$RuO${}_4$ thin films
• Type-I and type-II topological nodal superconductors with $s$-wave interaction
• Josephson effect test for triplet pairing symmetry
• Domain Walls in a Tetragonal Chiral p-Wave Superconductor
• Magnetically-textured superconductivity in elemental Rhenium
• Absence of ${}^{17}$O Knight-Shift Changes across the First-Order Phase Transition Line in Sr${}_2$RuO${}_4$
• Linear Field Dependence of the Normal-State In-Plane Magnetoresistance of Sr2RuO4
• $T_c$ and the elastocaloric effect of Sr${}_2$RuO${}_4$ under $⟨110⟩$ uniaxial stress: no indications of transition splitting
• Role of spin-orbit coupling on the spin triplet pairing in Na_{x}CoO_{2}yH_{2}O II: Multiple phase diagram under the magnetic field
• Nodeless superconductivity in Lu${}_{5-x}$Rh${}_6$Sn${}_{18+x}$ with broken time reversal symmetry
• Orbital effect of Cooper pairs on Kondo effect in unconventional superconductors
• Strong Increase in Ultrasound Attenuation Below T${}_{\mathrm{c}}$ in Sr${}_2$RuO${}_4$: Possible Evidence for Domains
• Using Disorder to Identify Bogoliubov Fermi-Surface States
• Theory of tunneling spectroscopy of normal metal/ferromagnet/spin-triplet superconductor junctions
• Competition between d-wave superconductivity and magnetism in uniaxially strained Sr2RuO4
• Unconventional Superconductivity arising from Multipolar Kondo Interactions
• Possibility of mixed helical p-wave pairings in Sr${}_2$RuO${}_4$
• Fluctuation-driven superconductivity in Sr${}_2$RuO${}_4$ from weak repulsive interactions
• Inter-orbital p- and d-wave pairings between $d_{xz/yz}$ and $d_{xy}$ orbitals in Sr${}_2$RuO${}_4$
• Probing the superconducting ground state of the rare-earth ternary boride superconductors $R$RuB${}_2$ ($R$ = Lu,Y) using muon-spin rotation and relaxation
• Transverse magnetic field and chiral-nonchiral transition in vortex states for nearly B//ab in chiral p-wave superconductors
• Recent developments in unconventional superconductivity theory
• Tunnelling spectroscopy of the interface between Sr2RuO4 and a single Ru micro-inclusion in eutectic crystals
• Triplet Pairing Superconductivity Induced by Short-Range Ferromagnetic Correlations in Sr${}_2$RuO${}_4$
• Limiting mechanism for critical current in topologically frustrated Josephson junctions
• Anisotropic superconductivity mediated by phonons in layered compounds with weak screening effect
• Phenomenological model for magnetotransport in a multi-orbital system
• A phenomenological model of the superconducting state of the Bechgaard salts
• Unusual Fermi Surface Sheet-Dependent Band Splitting in Sr2RuO4 Revealed by High Resolution Angle-Resolved Photoemission
• Crystal growth and properties of the non-centrosymmetric superconductor, Ru7B3
• Stability of topological defects in chiral superconductors: London theory
• Critical Current of the Spin-Triplet Superconducting Phase in Sr${}_2$RuO${}_4$
• Interband Coulomb Interaction and Horizontal Line Nodes in Triplet Superconductor Sr${}_2$RuO${}_4$
• Nodeless superconductivity in quasi-one-dimensional Nb2PdS5: A muSR study
• Magnetoresistance oscillation study of the half-quantum vortex in doubly connected mesoscopic superconducting cylinders of Sr2RuO4
• Sr${}_2$RuO${}_4$, like doped cuprates and barium bismuthate, is a negative charge-transfer gap even parity superconductor with $\frac{3}{4}$-filled oxygen band
• Spontaneous magnetization in unitary superconductors with time reversal symmetry breaking
• Local impedance on a rough surface of a chiral $p$-wave superconductor
• Nodeless superconductivity in the cage-type superconductor Sc5Ru6Sn18 with preserved time-reversal symmetry
• Electronic Structure and Magnetism of the Triple-layered Ruthenate Sr${}_4$Ru${}_3$O${}_{10}$
• Degeneracy between even- and odd-parity superconductivity in the quasi-1D Hubbard model and implications for Sr2RuO4
• Two-dimensional incommensurate magnetic fluctuations in Sr${}_2$(Ru${}_{0.99}$Ti${}_{0.01}$)O${}_4$
• Quantum-geometry-induced anomalous Hall effect in nonunitary superconductors and application to Sr${}_2$RuO${}_4$
• A review of some new perspectives on the theory of superconducting Sr${}_2$RuO${}_4$
• Effects of deep superconducting gap minima and disorder on residual thermal transport in $\mathrm{S}{\mathrm{r}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Spin and Charge Currents in SNS Josephson Junction with f-wave Pairing Symmetry
• Probing chiral superconductivity in Sr${}_2$RuO${}_4$ underneath the surface by point contact measurements
• Nodal gaps from local interactions in Sr${}_2$RuO${}_4$
• Optical conductivity of superconducting Sr_2RuO_4
• Observation of superconducting gap spectra of long-range proximity effect in Au/SrTiO${}_3$/SrRuO${}_3$/Sr${}_2$RuO${}_4$ tunnel junctions
• Hall Conductivity in a Spin-Triplet Superconductor
• Superconducting ground state of nonsymmorphic superconducting compound Zr${}_2$Ir
• Realization of a transition between type-I and type-II Dirac semimetals in monolayers
• Stability of Bogoliubov Fermi Surfaces within BCS Theory
• Spontaneous thermal Hall effect in three-dimensional chiral superconductors with gap nodes
• Electronic structure and spontaneous internal field around non-magnetic impurities in spin-triplet chiral p-wave superconductors
• In-plane magnetic field phase diagram of superconducting Sr2RuO4
• Identification of Spin-Triplet Superconductivity through a Helical-Chiral Phase Transition in Sr${}_2$RuO${}_4$ Thin-Films
• Time-reversal-symmetry Breaking in the Superconducting State of ScS
• Tunneling conductance and local density of states in time-reversal symmetry breaking superconductors under the influence of an external magnetic field
• Dipole Interaction in Triplet Superconductivity with Horizontal Line Nodes; Orientation of the Superconducting Order Parameter in Sr2RuO4
• Nodeless superconductivity in the noncentrosymmetric Mo${}_3$Rh${}_2$N superconductor: a $\mu$SR study
• Intrinsic Angular Momentum and Intrinsic Magnetic Moment of Chiral Superconductor on Two-Dimensional Square Lattice
• Penetration of nonquantized magnetic flux through a domain-wall bend in time-reversal symmetry broken superconductors
• Quantum muon diffusion and the preservation of time-reversal symmetry in the superconducting state of type-I rhenium
• Characterization of Sr2RuO4 Josephson junctions made of epitaxial films
• Bulk Superconductivity in the Dirac Semimetal TlSb
• Exotic Superconductivity in the Extended Attractive Hubbard Model
• Effect of the RuO6 octahedron rotation at the Sr2RuO4 surface on topological property
• Possible two-component spin-singlet pairings in Sr2RuO4
• Triplet superconductivity in coupled odd-gon rings
• Time reversal symmetry breaking and s-wave superconductivity in CaPd2Ge2: A $\mu$SR study
• Cyclotron resonance in the layered perovskite superconductor Sr2RuO4
• Probing active/passive bands by quasiparticle interference in Sr${}_2$RuO${}_4$
• Impurity induced double transitions for accidentally degenerate unconventional pairing states
• Derivation of a Ginzburg-Landau free energy density containing mixed gradient terms of a $p+ip$ superconductor with spin-orbit coupling
• Low temperature electronic properties of Sr_2RuO_4 I: Microscopic model and normal state properties
• Effects of orbital selective dynamical correlation on the spin susceptibility and superconducting symmetries in Sr${}_2$RuO${}_4$
• Quasi-particle Density in Sr2RuO4 Probed by means of the Phonon Thermal Conductivity
• Theoretical studies for identifying horizontal line nodes via angle-resolved density of states measurements ---Application to Sr${}_2$RuO${}_4$---
• Evolution of the filamentary 3-Kelvin phase in Pb-Ru-Sr2RuO4 Josephson junctions
• Transport Properties in Ferromagnetic Josephson Junction between Triplet Superconductors
• Microwave Response and Spin Waves in Superconducting Ferromagnets
• Anomalous Hall effect in semiconductor quantum wells in proximity to chiral p-wave superconductors
• Modern Theory for the Orbital Moment in a Superconductor
• Spin wave contribution to the nuclear spin-lattice relaxation in triplet superconductors
• A Review of Electronic Transport in Superconducting Sr${}_2$RuO${}_4$ Junctions
• Evening out the spin and charge parity to increase T${}_c$ in unconventional superconductor Sr_{2}RuO_{4}
• Effect of strain inhomogeneity on a chiral p-wave superconductor
• Nodeless s-wave superconductivity in the α-Mn structure type noncentrosymmetric superconductor TaOs: A μSR study
• Coherence peak in the spin susceptibility from nesting in spin-triplet superconductors; A probe for line nodes in Sr${}_2$RuO${}_4$
• Quenched metastable vortex states in Sr2RuO4
• Superconducting gap symmetry from Bogoliubov quasiparticle interference analysis on {Sr}${}_2${RuO}${}_4$
• Spin-orbit-coupled superconductivity with spin-singlet non-unitary pairing
• Nodeless time-reversal symmetry breaking in the centrosymmetric superconductor Sc${}_5$Co${}_4$Si${}_{10}$ probed by muon-spin spectroscopy
• Time-reversal symmetry breaking in superconducting low-carrier-density quasi-skutterudite Lu3Os4Ge13
• Magnetic field induced rotation of the d-vector in Sr_2RuO_4
• Proximity effect of time-reversal symmetry broken non-centrosymmetric superconductors
• Absence of strong magnetic fluctuations or interactions in the normal state of LaNiGa${}_2$
• Disorder and Zeeman coupling induced gap-filling states in the nodeless chiral superconducting Bi/Ni bilayer system
• Quantum transport signatures of chiral edge states in Sr${}_2$RuO${}_4$
• Impurity Bound States and Symmetry of the Superconducting Order Parameter in Sr_2RuO_4
• Current patterns and magnetic impurities in time-reversal breaking superconductor
• Half-quantum vortices on c-axis domain walls in chiral p-wave superconductors
• Observation of Vortex Coalescence, Vortex Chains and Crossing Vortices in the Anisotropic Spin-Triplet Superconductor $S{r}_{2}Ru{O}_4$
• Electron transport in p-wave superconductor-normal metal junctions
• Electronic Raman response of a superconductor across a time reversal symmetry breaking phase transition
• Surface State of Inter-orbital Pairing State in Sr${}_2$RuO${}_4$ Superconductor
• Pair-Kondo effect: a mechanism for time-reversal broken superconductivity in UTe${}_2$
• Penetration depth and gap structure in the antiperovskite oxide superconductor Sr${}_{3-x}$SnO revealed by $\mu$SR
• Phase diagrams of a p-Wave superconductor inside a mesoscopic disc-shaped sample
• Reconciling $\pi$ phase shift in Josephson junction experiments with even-parity superconductivity in Sr${}_2$RuO${}_4$
• The interface between Sr${}_2$RuO${}_4$ and Ru-metal inclusion--Implications for its superconductivity
• Superconducting gap anisotropy and topological singularities due to lattice translational symmetry and their thermodynamic signatures
• Time-reversal symmetry violation and the structure of Superconducting Order Parameter of PrOs${}_4$Sb${}_{12}$
• Cryptoferromagnetism in Superconductors with Broken Time-Reversal Symmetry
• Non-Fermi surface nesting driven commensurate magnetic ordering in Fe-doped Sr${}_2$RuO${}_4$
• Topologically Induced Fermion Parity Flips in Superconductor Vortices
• Nonlinear electrodynamics of p-wave superconductors
• Triplet Superconductors from the Viewpoint of Basic Elements for Quantum Computers
• Nodeless superconductivity in 4H${}_b$-TaS${}_2$ with broken time reversal symmetry
• Absence of spontaneous time-reversal symmetry breaking and ferromagnetism in superconducting NiBi3 single crystal
• The influence of chiral surface states on the London penetration depth in Sr${}_2$RuO${}_4$
• First order superconducting phase transition in chiral $p+ip$ system
• US Muon Workshop 2021: A road map for a future Muon Facility
• Dynamics of skyrmions and edge states in the resistive regime of mesoscopic \emph{p}-wave superconductors
• Impurity Site NMR Relaxation in Unconventional Superconductors
• Hall conductivity in the normal and superconducting phases of the Rashba system with Zeeman field
• Symmetry properties of superconducting order parameter in Sr${}_2$RuO${}_4$
• Superconductivity mystery turns 25
• Possible anomalous Doppler shift effect in superconductor Sr${}_2$RuO${}_4$
• Tunneling current in triplet f-wave superconductors with horizontal lines of nodes
• Thermal Hall conductivity in the spin-triplet superconductor with broken time-reversal symmetry
• Broken time-reversal symmetry in cubic skutterudite-like superconductor Y${}_3$Ru${}_4$Ge${}_{13}$
• Superconductivity in non-centrosymmetric LaNiC2
• Symmetry Aspects of Chiral Superconductors
• Low temperature electronic properties of Sr_2RuO_4 III: Magnetic fields
• Even odder after twenty-three years: the superconducting order parameter puzzle of Sr2RuO4
• $T_c$ and Pauli limited critical field of ${\text{Sr}}_2\text{Ru}{\text{O}}_4$: uniaxial strain dependence
• Time reversal invariant single gap superconductivity with upper critical field larger than Pauli limit in NbIr${}_2$B${}_2$
• Spin-orbit-phonon interaction as an origin of helical-symmetry breaking spin-triplet superconducting state
• Jahn-Teller-like Distortion in a One-dimensional π-Conjugated Polymer
• Tunneling conductance in normal metal - triplet superconductor junction
• Manifestation of helical edge states as zero-bias magneto-tunneling-conductance peaks in non-centrosymmetric superconductors
• Vestigial Van Hove singularity and higher-temperature superconducting phase induced by perpendicular uniaxial pressures in quasi-two-dimensional superconductors
• Chiral superconductivity in nematic states
• Direct evidence for the absence of coupling between shear strain and superconductivity in Sr2RuO4
• Axial Anomaly Effect in Chiral p-wave Superconductor
• Electromagnetic field angular momentum in condensed matter systems
• Surface Bound States and Spontaneous Current in Cyclic d-Wave Superconductors
• Angular dependence of the penetration depth in unconventional superconductors
• Vortex lattice structures and pairing symmetry in Sr2RuO4
• Nuclear Spin Relaxation Rate of Disordered $p_x+i{p}_y$-wave Superconductors
• Theory of disordered unconventional superconductors
• Anomalous anisotropic behaviour of spin-triplet proximity effect in Au/SrRuO${}_3$/Sr${}_2$RuO${}_4$ junctions
• Muon spin rotation and relaxation study on topological noncentrosymmetric superconductor PbTaSe${}_2$
• Anomalous Hall Effects in Chiral Superconductors
• Magnetic edge fields in UTe${}_2$ near zero background fields
• Spontaneous magnetic field and disorder effects in BaPtAs_1-x_Sb_x_ with honeycomb network
• Twisted superfluid and supersolid phases of triplons in bilayer honeycomb magnets
• Nonadiabatic braiding of Majorana modes
• Spin Ordering and Quasiparticles in Spin Triplet Superconducting Liquids
• Thermal fluctuations and vortex lattice structures in chiral $p$-wave superconductors: robustness of double-quanta vortices
• Pressure induced superconducting dome in LaNiGa2
• Polar Kerr Effect in Multiband Spin-Orbit Coupled Superconductors
• Possible two-component pairings in electron-doped Bi${}_2$Se${}_3$ based on a tight-binding model
• Chiral Correction to the Spin Fluctuation Feedback in two-dimensional p-wave Superconductors
• Ferromagnetic features on zero-bias conductance peaks in ferromagnet/insulator/superconductor junction
• Making artificial ${\text{p}}_{x,y}$-orbital honeycomb electron lattice on metal surface
• ${}^3$He-R: A Topological $s^{\pm }$ Superfluid with Triplet Pairing
• Muon Knight shift as a precise probe of the superconducting symmetry of Sr${}_2$RuO${}_4$
• 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
• Topological in-gap chiral edge states in superconducting Haldane model with spin-orbit coupling
• Weakly Anisotropic Noncentrosymmetric Superconductors with Radial Line Nodes and Thermodynamical Anomalies
• Phenomenological model for the third-harmonic magnetic response of superconductors: application to Sr${}_2$RuO${}_4$
• DC-current induced domain wall in a chiral $p$-wave superconductor
• Stability of Mixed-Symmetry Superconducting States with Broken Time-Reversal Symmetry against Lattice Distortions
• Probing time reversal symmetry breaking topological superconductivity in twisted double layer copper oxides with polar Kerr effect
• Probing time-reversal symmetry breaking at microwave frequencies
• Examining the possibility of chiral superconductivity in Sr${}_2$RuO${}_4$ and other compounds via applied supercurrent
• Magnetic Field Distribution Due to Domain Walls in Unconventional Superconductors
• Why Scanning Tunneling Microscopy on Sr${}_2$RuO${}_4$ sometimes doesn't see the superconducting gap
• Spin Fluctuations in Sr${}_{1.8}$La${}_{0.2}$RuO${}_4$
• Unconventional magnetization in the multiphase superconductor PdBi${}_2$
• 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
• Impurity-Induced Anomalous Thermal Hall Effect in Chiral Superconductors
• Many-body wave function and edge magnetization of an open $p+is$ superconducting chain
• Josephson effects in the spin-triplet superconductor/altermagnet/spin-triplet superconductor junctions: the detection of the intrinsic $\mathbf{d}$-vector
• Evolution and Instability of Bogoliubov Fermi Surfaces under Zeeman Field
• Signature of chiral superconducting order parameter evidenced in mesoscopic superconductors
• Pair-mixing induced Time-reversal-breaking superconductivity
• Conventional superconductivity in single-crystalline BiPt
• Microwave resonator for measuring time-reversal symmetry breaking at cryogenic temperatures
• Tri-component-pairing chiral superconductivity on the honeycomb lattice with mixed $s$- and $d$-wave symmetries
• A Chiral Triplet Quasi-Two-Dimensional Superconductor in a Parallel Magnetic Field
• The role of transverse anisotropic elastic waves and Ehrenfest relationships in the superconducting state of the compound Sr${}_2$RuO${}_4$
• Vortex in Chiral Superconducting State
• Chern-Simons Correlations on (2+1)D Lattice