Inter-orbital p- and d-wave pairings between $d_{xz/yz}$ and $d_{xy}$ orbitals in Sr${}_2$RuO${}_4$

Abstract

We study the pairing symmetry of Sr${}_2$RuO${}_4$ through the group-theoretical approach. We emphasize the role of pairing interaction between the quasi-one-dimensional(Q1D) $d_{xz/yz}$ and quasi-two-dimensional(Q2D) $d_{xy}$ orbitals. It is found that two degenerate inter-orbital time-reversal-invariant(TRI) p-wave pairings, one is spin-singlet and the other spin-triplet with out-of-plane $\mathbf{d}$-vector, could be the most promising candidates. Several important physical quantities are presented, including the near-nodal gap structure, the unchanged out-of-plane Knight shift, and no split transition under strain, which are consistent with the experiments. In addition, these p-wave pairings shed light on resolving the contradiction between the time-reversal breaking and reduced in-plane Knight shift measurements. As the system reaches the Van Hove singularity under applied strain, the pairing symmetry would become a d-wave pairing mainly consisting of inter-orbital components, which could be responsible for the strained 3$K$ phase.

arXiv comment11 pages, 5 figures

References in corpus (55)

• 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
• Evaluation of Spin-Triplet Superconductivity in Sr2RuO4
• Pronounced drop of ${}^{17}$O NMR Knight shift in superconducting state of Sr${}_2$RuO${}_4$
• Strong Peak in $T_c$ of Sr${}_2$RuO${}_4$ Under Uniaxial Pressure
• Chiral P-Wave Order in Sr_2RuO_4
• Observation of half-height magnetization steps in Sr2RuO4
• Orbital dependent superconductivity in Sr_2RuO_4
• Topological phases and surface flat bands in superconductors without inversion symmetry
• Upper limit on spontaneous supercurrents in Sr${}_2$RuO${}_4$
• Hidden quasi one-dimensional superconductivity in Sr${}_2$RuO${}_4$
• Gap Structure of the Spin-Triplet Superconductor Sr2RuO4 Determined from the Field-Orientation Dependence of Specific Heat
• Spin-triplet superconductivity in Sr${}_2$RuO${}_4$ probed by Andreev reflection
• High-resolution photoemission on Sr2RuO4 reveals correlation-enhanced effective spin-orbit coupling and dominantly local self-energies
• Reduction of the ${}^{17}$O Knight shift in the Superconducting State and the Heat-up Effect by NMR Pulses on Sr${}_2$RuO${}_4$
• Spin triplet superconductivity with line nodes in Sr2RuO4
• Pairing symmetry and dominant band in Sr2RuO4
• First-Order Superconducting Transition of Sr2RuO4
• Resistivity in the Vicinity of a Van Hove Singularity: Sr${}_2$RuO${}_4$ Under Uniaxial Pressure
• Strain Control of Fermiology and Many-Body Interactions in Two-Dimensional Ruthenates
• Identifying the pairing symmetry in the Sr2RuO4 superconductor
• Universal Heat Transport in Sr2RuO4
• Identifying detrimental effects for multi-orbital superconductivity - Application to Sr${}_2$RuO${}_4$
• The Fermi surface of Sr2RuO4: spin-orbit and anisotropic Coulomb interaction effects
• Vertical line nodes in the superconducting gap structure of Sr2RuO4
• Microscopic Identification of the D-vector in Triplet Superconductor Sr_2RuO_4
• Evidence from Tunneling Spectroscopy for a Quasi-One Dimensional Origin of Superconductivity in Sr2RuO4
• Superconducting order parameter of Sr${}_2$RuO${}_4$: a microscopic perspective
• Superconducting Symmetries of Sr${}_2$RuO${}_4$ from First-Principles Electronic Structure
• Identifying spin-triplet pairing in spin-orbit coupled multi-band superconductors
• Odd-frequency superconductivity in Sr${}_2$RuO${}_4$ measured by Kerr rotation
• 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 order of ${\mathrm{Sr}}_2{\mathrm{RuO}}_4$ from a three-dimensional microscopic model
• Time-Reversal Invariant Superconductivity of Sr${}_2$RuO${}_4$ Revealed by Josephson Effects
• Higher-Tc superconducting phase in Sr2RuO4 induced by uniaxial pressure
• Theory of chiral $p$-wave superconductivity with near-nodes for Sr${}_2$RuO${}_4$
• Anisotropy of the Superconducting State in Sr2RuO4
• Inter-orbital topological superconductivity in spin-orbit coupled superconductors with inversion symmetry breaking
• Spin Polarization Enhanced by Spin-Triplet Pairing in Sr${}_2$RuO${}_4$ Probed by NMR
• Group-theoretic classification of superconducting states of Strontium Ruthenate
• Charge and spin collective modes in a quasi-1D model of Sr2RuO4
• Possible three-dimensional nematic odd-parity superconductivity in Sr${}_2$RuO${}_4$
• Detailed study of the ac susceptibility of Sr2RuO4 in oriented magnetic fields
• Exotic Cooper pairing in multi-orbital models of Sr${}_2$RuO${}_4$
• Superconducting pairing in Sr${}_2$RuO${}_4$ from weak to intermediate coupling
• Pauli-paramagnetic effects on mixed state properties in a strongly anisotropic superconductor ---Application to Sr_2_RuO_4_---
• Leggett modes and multi-band superconductivity in Sr2RuO4
• Mixed-Parity Superconductivity in Sr2RuO4
• Anisotropy and multiband superconductivity in Sr2RuO4
• Simultaneous Evidence for Pauli Paramagnetic Effects and Multiband Superconductivity in KFe${}_2$As${}_2$ by Small-Angle Neutron Scattering Studies of the Vortex Lattice
• Is the anisotropy of the upper critical field of Sr${}_2$RuO${}_4$ consistent with a helical $p$-wave state?
• Residual spin susceptibility in the spin-triplet, orbital-singlet model
• Probing chiral superconductivity in Sr${}_2$RuO${}_4$ underneath the surface by point contact measurements
• Interband interference effects at the edge of a multiband chiral p-wave superconductor

Cited by in corpus (7)

• Superconductivity in Correlated Multi-Orbital Systems with Spin-Orbit Coupling: Coexistence of Even- and Odd-Frequency Pairing and the Case of Strontium Ruthenate
• Hidden anomalous Hall effect in Sr${}_2$RuO${}_4$ with chiral superconductivity dominated by the Ru $d_{xy}$ orbital
• Multipole-fluctuation pairing mechanism of $d_{x^2-y^2}+ig$ superconductivity in Sr${}_2$RuO${}_4$
• 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${}_4$
• A review of some new perspectives on the theory of superconducting Sr${}_2$RuO${}_4$
• Possible two-component spin-singlet pairings in Sr2RuO4