Field-free anomalous junction and superconducting diode effect in spin split superconductor/topological insulator junctions

Abstract

We study the transport properties of a diffusive Josephson junction between two spin-split superconductors made of superconductor-ferromagnetic insulator bilayers (FIS) on top of a 3D topological insulator (TI). We derive the corresponding Usadel equation describing the quasiclassical Green's functions in these systems and first solve the equation analytically in the weak-proximity case. We demonstrate the appearance of an anomalous phase in the absence of an external magnetic field. We also explore non-reciprocal electronic transport. Specifically, we calculate the junction's diode efficiency $\eta$ by solving the Usadel equation. We obtain a sizable diode effect even at zero applied magnetic field. We discuss how the diode efficiency $\eta$ depends on the different parameters and find a non-monotonic behavior of $\eta$ with temperature.

arXiv comment9 pages, 6 figures

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• Flux-Tunable Josephson Diode Effect in a Hybrid Four-Terminal Josephson Junction
• Microwave-Tunable Diode Effect in Asymmetric SQUIDs with Topological Josephson Junctions
• Highly Efficient Superconducting Diodes and Rectifiers for Quantum Circuitry
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• Superconducting diode effect in diffusive superconductors and Josephson junctions with Rashba spin-orbit coupling
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• Superconducting Diode Effect in Two-dimensional Topological Insulator Edges and Josephson Junctions
• Orbital effect on intrinsic superconducting diode effect
• Time reversal symmetry breaking and zero magnetic field Josephson diode effect in Dirac semimetal Cd3As2-mediated asymmetric SQUIDs
• The hybrid Josephson rhombus: A superconducting element with tailored current-phase relation
• Reconstruction-Induced ${\phi }_0$ Josephson Effect in Quantum Spin Hall Constrictions
• Design of a Josephson diode based on double magnetic impurities
• Photogalvanic phenomena in superconductors supporting intrinsic diode effect
• Magnetoelectric effects in diffusive two-dimensional superconductors studied by the nonlinear $\sigma$ model
• Influence of capacitance and thermal fluctuations on the Josephson diode effect in asymmetric higher-harmonic SQUIDs
• Controllable Josephson diode effect, $0$-$\pi$ transition and switch effect in the superconductor/two-dimensional Weyl nodal line semimetal/superconductor junctions
• Diode effect in Shapiro steps in an asymmetric SQUID with a superconducting nanobridge
• Field-Resilient Supercurrent Diode in a Multiferroic Josephson Junction
• Dissipation-enhanced non-reciprocal superconductivity: application to multi-valley superconductors
• Perturbative Analysis of the Field-Free Josephson Diode Effect in a Multilayered Josephson Junction
• Giant and robust Josephson diode effect in multiband topological nanowires
• Diode effect in microwave irradiated Josephson junctions with Yu-Shiba-Rusinov states
• Helimagnetic Josephson diode effect
• Thermodynamic Constraints on Perfect Equilibrium Superconducting Diodes