Josephson effect in a multi-orbital model for Sr${}_2$RuO${}_4$

Abstract

We study Josephson current between s-wave/spin-triplet superconductor junctions by taking into account details of band structures in Sr${}_2$RuO${}_4$ such as three conduction bands, spin-orbit interaction in the bulk and that at the interface. We assume five superconducting order parameters in Sr${}_2$RuO${}_4$: a chiral p-wave symmetry and four helical p-wave symmetries. We calculate current-phase relationship $I(\phi )$ in these junctions, where $\phi$ is the macroscopic phase difference between two superconductors. The results for a chiral p-wave pairing symmetry show that $\cos (\phi )$ term appears in the current-phase relation due to time-reversal symmetry (TRS) breaking. On the other hand, $\cos (\phi )$ term is absent in the helical pairing states which preserve the TRS. We also study the dependence of maximum Josephson current $I_c$ on an external magnetic flux $\Phi$ in a corner junction. The calculated results of $I_c(\Phi )$ show a relation $I_c(\Phi )\ne I_c(-\Phi )$ in a chiral state and $I_c(\Phi )=I_c(-\Phi )$ in a helical state. We calculate $I_c(\Phi )$ in a corner and a symmetric SQUIDs geometry. In a symmetric SQUID geometry, the relation $I_c(\Phi )=I_c(-\Phi )$ is satisfied for all the pairing states and it is impossible to distinguish chiral state from helical one. On the other hand, results for a corner SQUID always show $I_c(\Phi )\ne I_c(-\Phi )$ and $I_c(\Phi )=I_c(-\Phi )$ for a chiral and a helical states, respectively. Experimental tests of these relations in a corner junctions and SQUIDs may serve as a tool for unambiguous determination of the pairing symmetry in Sr${}_2$RuO${}_4$.

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Cited by in corpus (16)

• Superconducting phenomena in systems with unconventional magnets
• Time-Reversal Invariant Superconductivity of Sr${}_2$RuO${}_4$ Revealed by Josephson Effects
• Josephson effect and odd-frequency pairing in superconducting junctions with unconventional magnets
• Orbital tunable 0-$\pi$ transitions in Josephson junctions with noncentrosymmetric topological superconductors
• Anomalous Josephson Coupling and High-Harmonics in Non-Centrosymmetric Superconductors with $S$-wave Spin-Triplet Pairing
• Identifying possible pairing states in Sr${}_2$RuO${}_4$ by tunneling spectroscopy
• Theory of tunneling spectroscopy of normal metal/ferromagnet/spin-triplet superconductor junctions
• Local impedance on a rough surface of a chiral $p$-wave superconductor
• Surface density of states and tunneling spectroscopy of a spin-3/2 superconductor with Bogoliubov Fermi Surfaces
• Characterization of Sr2RuO4 Josephson junctions made of epitaxial films
• Interband interference effects at the edge of a multiband chiral p-wave superconductor
• A Review of Electronic Transport in Superconducting Sr${}_2$RuO${}_4$ Junctions
• Reconciling $\pi$ phase shift in Josephson junction experiments with even-parity superconductivity in Sr${}_2$RuO${}_4$
• Particle-hole spectral asymmetry at the edge of multiorbital noncentrosymmetric superconductors
• DC-current induced domain wall in a chiral $p$-wave superconductor
• Josephson effects in the spin-triplet superconductor/altermagnet/spin-triplet superconductor junctions: the detection of the intrinsic $\mathbf{d}$-vector