Theory of superconductivity in a three-orbital model of Sr${}_2$RuO${}_4$

Abstract

In conventional and high transition temperature copper oxide and iron pnictide superconductors, the Cooper pairs all have even parity. As a rare exception, Sr${}_2$RuO${}_4$ is the first prime candidate for topological chiral p-wave superconductivity, which has time-reversal breaking odd-parity Cooper pairs known to exist before only in the neutral superfluid ${}^3$He. However, there are several key unresolved issues hampering the microscopic description of the unconventional superconductivity. Spin fluctuations at both large and small wavevectors are present in experiments, but how they arise and drive superconductivity is not yet clear. Spontaneous edge current is expected but not observed conclusively. Specific experiments point to highly band- and/or momentum-dependent energy gaps for quasiparticle excitations in the superconducting state. Here, by comprehensive functional renormalization group calculations with all relevant bands, we disentangle the various competing possibilities. In particular we show the small wavevector spin fluctuations, driven by a single two-dimensional band, trigger p-wave superconductivity with quasi-nodal energy gaps.

6 pages, 4 figures

References in corpus (9)

• Non-Abelian Anyons and Topological Quantum Computation
• Funtional Renormalization Group Study of the Pairing Symmetry and Pairing Mechanism of the FeAs Based High Temperature Superconductors
• Chiral P-Wave Order in Sr_2RuO_4
• Nodal Spin Density Wave and band topology of the FeAs based materials
• Hidden quasi one-dimensional superconductivity in Sr${}_2$RuO${}_4$
• Self-energy flows in the two-dimensional repulsive Hubbard model
• Properties of edge states in spin-triplet two-band superconductor
• Charge and spin collective modes in a quasi-1D model of Sr2RuO4
• Spin Density Wave Fluctuations and p-wave Pairing in Sr2RuO4

Cited by in corpus (79)

• Chiral Superconductors
• Strong Peak in $T_c$ of Sr${}_2$RuO${}_4$ Under Uniaxial Pressure
• Chiral topological superconductor and half-integer conductance plateau from quantum anomalous Hall plateau transition
• A novel platform for two-dimensional chiral topological superconductivity
• Stabilizing Even-Parity Chiral Superconductivity in Sr${}_2$RuO${}_4$
• Pairing symmetry and dominant band in Sr2RuO4
• A proposal for reconciling diverse experiments on the superconducting state in Sr2RuO4
• Knight Shift and Leading Superconducting Instability From Spin Fluctuations in Sr2RuO4
• High-performance functional renormalization group calculations for interacting fermions
• Vertical line nodes in the superconducting gap structure of Sr2RuO4
• Large Chern Number and Edge Currents in Sr2RuO4
• Spin fluctuations in Sr2RuO4 from polarized neutron scattering: implications for superconductivity
• Non-topological nature of the edge current in a chiral p-wave superconductor
• Current inversion at the edges of a chiral $\mathbf{p}$-wave superconductor
• Spin-triplet $f$-wave pairing in twisted bilayer graphene near 1/4 filling
• Superconducting Symmetries of Sr${}_2$RuO${}_4$ from First-Principles Electronic Structure
• Inhomogeneous time-reversal symmetry breaking in ${\mathrm{Sr}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Spin Triplet Superconductivity in Sr2RuO4 due to Orbital and Spin Fluctuations: Analysis by Two-Dimensional Renormalization Group Theory
• Spin-triplet superconductivity in Sr2RuO4 due to orbital and spin fluctuations: Analyses by two-dimensional renormalization group theory and self-consistent vertex-correction method
• Superconducting state of Sr${}_2$RuO${}_4$ in the presence of longer-range Coulomb interactions
• Quantum phase transition of chiral Majorana fermion in the presence of disorder
• Theory of chiral $p$-wave superconductivity with near-nodes for Sr${}_2$RuO${}_4$
• Quasiparticle Interference and Strong Electron-Mode Coupling in the Quasi-One-Dimensional Bands of Sr${}_2$RuO${}_4$
• Pairing and non-Fermi liquid behavior in partially flat-band systems
• Group-theoretic classification of superconducting states of Strontium Ruthenate
• Possible three-dimensional nematic odd-parity superconductivity in Sr${}_2$RuO${}_4$
• Exotic Cooper pairing in multi-orbital models of Sr${}_2$RuO${}_4$
• Microscopic theory of tunneling spectroscopy in Sr${}_2$RuO${}_4$
• Spin-orbit coupling and spin-triplet pairing symmetry in $\mathrm{S}{\mathrm{r}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Superconducting pairing in Sr${}_2$RuO${}_4$ from weak to intermediate coupling
• 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
• $p$-orbital density wave with $d$ symmetry in high-$T_c$ cuprate superconductors predicted by the renormalization-group + constrained RPA theory
• Topological p+ip superconductivity in doped graphene-like single-sheet materials BC${}_3$
• Harmonic Fingerprint of Unconventional Superconductivity in Twisted Bilayer Graphene
• Functional renormalization group study of orbital fluctuation mediated superconductivity: Impact of the electron-boson coupling vertex corrections
• Fluctuation and strain effects in a chiral $p$-wave superconductor
• Leggett modes and multi-band superconductivity in Sr2RuO4
• Superconductivity in Sr${}_2$RuO${}_4$ thin film under biaxial strain
• Quasiparticle self-consistent GW calculation of Sr${}_2$RuO${}_4$ and SrRuO${}_3$:
• divERGe implements various Exact Renormalization Group examples
• Multiorbital effects in the functional renormalization group: A weak-coupling study of the Emery model
• Antiferromagnetism, $f$-wave and chiral $p$-wave superconductivity in a Kagome lattice with possible application to $s{d}^2$-graphenes
• Anisotropy and Strong-Coupling Effects on the Collective Mode Spectrum of Chiral Superconductors: Application to Sr${}_2$RuO${}_4$
• Thermal Hall conductivity and topological transition in a chiral p-wave superconductor for Sr2RuO4
• Spin-orbit Coupling and Multiple Phases in Spin-triplet Superconductor Sr${}_2$RuO${}_4$
• Simultaneous Evidence for Pauli Paramagnetic Effects and Multiband Superconductivity in KFe${}_2$As${}_2$ by Small-Angle Neutron Scattering Studies of the Vortex Lattice
• Anisotropy and multiband superconductivity in Sr2RuO4
• Anomalous Nonlocal Conductance as a Fingerprint of Chiral Majorana Edge States
• Possible Superconductivity in Electron-doped Chromium Pnictide LaOCrAs
• Effect of exchange interaction on electronic instabilities in the honeycomb lattice: A functional renormalization group study
• Hidden anomalous Hall effect in Sr${}_2$RuO${}_4$ with chiral superconductivity dominated by the Ru $d_{xy}$ orbital
• Higher angular momentum pairing states in Sr${}_2$RuO${}_4$ in the presence of longer-range interactions
• Orbital Symmetry and Orbital Excitations in High-$T_c$ Superconductors
• Interplay between effective mass anisotropy and Pauli paramagnetic effects in a multiband superconductor--Application to Sr2RuO4--
• t2g-orbital model on a honeycomb lattice: application to antiferromagnet SrRu2O6
• Competition between d-wave superconductivity and magnetism in uniaxially strained Sr2RuO4
• Functional renormalization and mean-field approach to multiband systems with spin-orbit coupling: Application to the Rashba model with attractive interaction
• Electronic orders near the type-II van Hove singularity in BC${}_3$
• Degeneracy between even- and odd-parity superconductivity in the quasi-1D Hubbard model and implications for Sr2RuO4
• 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 $\mathrm{S}{\mathrm{r}}_2\mathrm{Ru}{\mathrm{O}}_4$
• Identification of Spin-Triplet Superconductivity through a Helical-Chiral Phase Transition in Sr${}_2$RuO${}_4$ Thin-Films
• Accessing topological superconductivity via a combined STM and renormalization group analysis
• Spin-orbit coupling and odd-parity superconductivity in the quasi-one-dimensional compound Li${}_{0.9}$Mo${}_6$O${}_{17}$
• Effect of the RuO6 octahedron rotation at the Sr2RuO4 surface on topological property
• Evolution of the filamentary 3-Kelvin phase in Pb-Ru-Sr2RuO4 Josephson junctions
• Interplay between Point-Group Symmetries and the Choice of the Bloch Basis in Multiband Models
• Anomalous Hall effect in semiconductor quantum wells in proximity to chiral p-wave superconductors
• Magic angle of Sr${}_2$RuO${}_4$: Optimizing correlation-driven superconductivity
• Quantum transport signatures of chiral edge states in Sr${}_2$RuO${}_4$
• Superconducting gap anisotropy and topological singularities due to lattice translational symmetry and their thermodynamic signatures
• Robust d-wave pairing symmetry in multi-orbital cobalt high temperature superconductors
• Even odder after twenty-three years: the superconducting order parameter puzzle of Sr2RuO4
• Comment on "Unconventional Fermi Surface Instabilities in the Kagome Hubbard Model" by M. Kiesel, C. Platt, and R. Thomale, Phys. Rev. Lett. {\bf 110}, 126405 (2013)
• Matrix element interference in $N$-patch functional renormalization group
• Chiral and helical $p$-wave superconductivity in doped bilayer BiH
• Competing spin-fluctuations in Sr${}_2$RuO${}_4$ and their tuning through epitaxial strain
• Fingerprints of possible even-parity superconducting states in Sr${}_2$RuO${}_4$ detected by planar tunneling spectroscopy