Time-Reversal Invariant Superconductivity of Sr${}_2$RuO${}_4$ Revealed by Josephson Effects

Abstract

Sr${}_2$RuO${}_4$ is one of the most promising candidates of a topological superconductor with broken time-reversal symmetry, because a number of experiments have revealed evidences for a spin-triplet chiral $p$-wave superconductivity. In order to clarify the time-reversal symmetry of Sr${}_2$RuO${}_4$, we introduce a novel test that examines the invariance of the Josephson critical current under the inversion of both the current and magnetic fields, in contrast to the detection of a spontaneous magnetic field employed in past experiments. Analyses of the transport properties of the planar and corner Josephson junctions formed between Sr${}_2$RuO${}_4$ and Nb reveal the time-reversal invariant superconductivity, most probably helical $p$-wave, of Sr${}_2$RuO${}_4$. This state corresponds to a yet-to-be confirmed $topologicalcrystallinesuperconductivity$ that can host two Majorana edge modes at the surface protected by crystalline mirror symmetry.

arXiv comment10 pages 6 figures

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• Recent progress on superconductors with time-reversal symmetry breaking
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• The Superconductivity of Sr${}_2$RuO${}_4$ Under $c$-Axis Uniaxial Stress
• Theory of Strain-Induced Magnetic Order and Splitting of $T_c$ and $T_{\mathrm{TRSB}}$ in Sr${}_2$RuO${}_4$
• Symmetry-based approach to nodal structures: Unification of compatibility relations and gapless point classifications
• High-Temperature Majorana Fermions in Magnet-Superconductor Hybrid Systems
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• Distinct reduction of Knight shift in superconducting state of Sr${}_2$RuO${}_4$ under uniaxial strain
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• Spin gap and L modulated intensity at the low-energy incommensurate magnetic fluctuations in the superconducting state of Sr2RuO4
• Constraints on the superconducting state of Sr${}_2$RuO${}_4$ from elastocaloric measurements
• Hallmarks of non-trivial topology in Josephson junctions based on oxide nanochannels
• Destruction of surface states of ($d_{zx}+i{d}_{yz}$)-wave superconductor by surface roughness: application to Sr${}_2$RuO${}_4$
• Identifying possible pairing states in Sr${}_2$RuO${}_4$ by tunneling spectroscopy
• A microscopic Ginzburg--Landau theory and singlet ordering in Sr${}_2$RuO${}_4$
• Inter-orbital p- and d-wave pairings between $d_{xz/yz}$ and $d_{xy}$ orbitals in Sr${}_2$RuO${}_4$
• 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
• 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
• Nodeless time-reversal symmetry breaking in the centrosymmetric superconductor Sc${}_5$Co${}_4$Si${}_{10}$ probed by muon-spin spectroscopy
• Superconducting gap symmetry from Bogoliubov quasiparticle interference analysis on {Sr}${}_2${RuO}${}_4$
• A Review of Electronic Transport in Superconducting Sr${}_2$RuO${}_4$ Junctions
• Probing the topological character of superconductors via non-local Hanbury-Brown and Twiss correlations
• RKKY interaction at helical edges of topological superconductors
• Symmetry properties of superconducting order parameter in Sr${}_2$RuO${}_4$
• Anomalous Hall Effects in Chiral Superconductors
• Anomalous Fraunhofer-like patterns in quantum anomalous Hall Josephson junction
• 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
• Signature of chiral superconducting order parameter evidenced in mesoscopic superconductors
• Broken time-reversal symmetry detected by tunneling spectroscopy of superconducting Pd-doped CaAgP
• Josephson effects in the spin-triplet superconductor/altermagnet/spin-triplet superconductor junctions: the detection of the intrinsic $\mathbf{d}$-vector