Hidden quasi one-dimensional superconductivity in Sr${}_2$RuO${}_4$

Abstract

Using an asymptotically exact weak coupling analysis of a multi-orbital Hubbard model of the electronic structure of \SRO, we show that the interplay between spin and charge fluctuations leads unequivocally to triplet pairing which originates in the quasi-one dimensional bands. The resulting superconducting state spontaneously breaks time-reversal symmetry and is of the form $\Delta \sim p_x+i{p}_y\hat{z}$ with sharp gap minima and a d-vector that is only {\it weakly} pinned. The supercondutor is topologically {\it trivial} and hence lacks robust chiral Majorana fermion modes along the boundary. The absence of topologically protected edge modes could explain the surprising absence of experimentally detectable edge currents in this system.

5 pages, 3 figures

References in corpus (13)

• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• 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
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Orbital dependent superconductivity in Sr_2RuO_4
• Quasiparticle States near the Surface and the Domain Wall in a p_x\pm i p_y-Wave Superconductor
• Edge modes, edge currents, and gauge invariance in $p_x+i{p}_y$ superfluids and superconductors
• Evidence for incommensurate spin fluctuations in Sr_2RuO_4
• Strong spin-orbit coupling effects on the Fermi surface of Sr2RuO4 and Sr2RhO4
• Upper limit on spontaneous supercurrents in Sr${}_2$RuO${}_4$
• Limits on Superconductivity-Related Magnetization in Sr${}_2$RuO${}_4$ and PrOs${}_4$Sb${}_{12}$ from Scanning SQUID Microscopy
• Giant Intrinsic Spin and Orbital Hall Effects in Sr2MO4 (M=Ru,Rh,Mo)
• Coulomb-Enhanced Spin-Orbit Splitting: The Missing Piece in the Sr2RhO4 Puzzle

Cited by in corpus (146)

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• Observation of half-height magnetization steps in Sr2RuO4
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• Topological superconductivity in monolayer transition metal dichalcogenides
• Chiral topological superconductor and half-integer conductance plateau from quantum anomalous Hall plateau transition
• Chiral d-wave superconductivity in doped graphene
• Classification of Two Dimensional Topological Crystalline Superconductors and Majorana Bound States at Disclinations
• Fundamental studies of superconductors using scanning magnetic imaging
• High-resolution photoemission on Sr2RuO4 reveals correlation-enhanced effective spin-orbit coupling and dominantly local self-energies
• A novel platform for two-dimensional chiral topological superconductivity
• Topological superconductivity and Majorana fermions in half-metal / superconductor heterostructure
• A proposal for reconciling diverse experiments on the superconducting state in Sr2RuO4
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• Theory of superconductivity in a three-orbital model of Sr${}_2$RuO${}_4$
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• Direct Observation of a Uniaxial Stress-driven Lifshitz Transition in Sr${}_2$RuO${}_4$
• Momentum Resolved Superconducting Energy Gaps of Sr${}_2$RuO${}_4$ from Quasiparticle Interference Imaging
• Vertical line nodes in the superconducting gap structure of Sr2RuO4
• Domain walls and their experimental signatures in s+is superconductors
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• Evidence from Tunneling Spectroscopy for a Quasi-One Dimensional Origin of Superconductivity in Sr2RuO4
• Large Chern Number and Edge Currents in Sr2RuO4
• High sensitivity heat capacity measurements on Sr2RuO4 under uniaxial pressure
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• Spin fluctuations in Sr2RuO4 from polarized neutron scattering: implications for superconductivity
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• Topological superconducting phases from inversion symmetry breaking order in spin-orbit-coupled systems
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• Majorana zero modes in dislocations of Sr${}_2$RuO${}_4$
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• Higher order topological superconductors as generators of quantum codes
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• Time-Reversal Invariant Superconductivity of Sr${}_2$RuO${}_4$ Revealed by Josephson Effects
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• Properties of edge states in spin-triplet two-band superconductor
• Quantum phase transition of chiral Majorana fermion in the presence of disorder
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• Quasiparticle Interference and Strong Electron-Mode Coupling in the Quasi-One-Dimensional Bands of Sr${}_2$RuO${}_4$
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• The Superconductivity of Sr${}_2$RuO${}_4$ Under $c$-Axis Uniaxial Stress
• The Kerr rotation in the unconventional superconductor Sr${}_2$RuO${}_4$
• Effect of Selenium doping on the superconductivity of Nb${}_2$Pd(S${}_{1-x}$Se${}_x$)${}_5$
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• Charge and spin collective modes in a quasi-1D model of Sr2RuO4
• Multiple signatures of topological transitions for interacting fermions in chain lattices
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• Theory of the Evolution of Superconductivity in Sr${}_2$RuO${}_4$ under Anisotropic Strain
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• Weyl Fermions and Broken Symmetry Phases of Laterally Confined ${}^3$He Films
• A review of some new perspectives on the theory of superconducting Sr${}_2$RuO${}_4$
• Low-temperature environments for quantum computation and quantum simulation
• Degeneracy between even- and odd-parity superconductivity in the quasi-1D Hubbard model and implications for Sr2RuO4
• Effects of deep superconducting gap minima and disorder on residual thermal transport in $\mathrm{S}{\mathrm{r}}_2\mathrm{Ru}{\mathrm{O}}_4$
• First-Principles Correlated Approach to the Normal State of Strontium Ruthenate
• Magnetic fluctuations and superconducting pairing in $\epsilon$-iron
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• Symmetry-breaking signatures of multiple Majorana zero modes in one-dimensional spin-triplet superconductors
• 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${}_{17}$
• Quantum Oscillations and the Quasiparticle Properties of Thin Film Sr${}_2$RuO${}_4$
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