Anomalous Josephson diode effect in superconducting multilayers

Abstract

In this study, we explore the Josephson current-phase relation within a planar diffuse tunneling superconducting multilayer junction subjected to a parallel magnetic field. Our investigation involves computing the supercurrent associated with a fixed jump in the phase of the order parameter at each of the two insulating interfaces, allowing us to derive the current-phase relation for the junction. Employing perturbation theory in junction conductance, we determine both the first and second harmonics of the current-phase relation under specific magnetic field conditions. Notably, the presence of a strong spin-orbit interaction in the middle region of the junction introduces an anomalous Josephson effect. The interplay between spin-orbit and Zeeman interactions results in the emergence of an effective vector potential. This specific characteristic induces a phase shift in each harmonic of the current-phase relation without altering the overall shape of the relation. The mechanism for the Josephson diode effect is discussed for disordered junctions of multiband superconductors.

arXiv comment23 pages, 8 figures

References in corpus (25)

• Proximity effects in superconductor-ferromagnet heterostructures
• Coupling of two superconductors through a ferromagnet : evidence for a pi-junction
• Superconductivity and spin-orbit coupling in non-centrosymmetric materials: a review
• Quasiclassical Green's function approach to mesoscopic superconductivity
• A Josephson junction supercurrent diode
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Josephson ${\phi }_0$-junction in nanowire quantum dots
• Long range triplet Josephson effect through a ferromagnetic trilayer
• Controllable 0-pi Josephson junctions containing a ferromagnetic spin valve
• Fully developed triplet proximity effect
• Spin-Orbit induced phase-shift in Bi${}_2$Se${}_3$ Josephson junctions
• Theory of the spin-galvanic effect and the anomalous phase-shift ${\phi }_0$ in superconductors and Josephson junctions with intrinsic spin-orbit coupling
• A Josephson phase battery
• Gate Controlled Anomalous Phase Shift in Al/InAs Josephson Junctions
• Anomalous current in diffusive ferromagnetic Josephson junctions
• Effects of spin-orbit coupling and spatial symmetries on the Josephson current in SNS junctions
• Proximity and Josephson effects in microstructures based on multiband superconductors
• Singular length dependence of critical current in SNS bridges
• rf-SQUID measurements of anomalous Josephson effect
• Observation of Anomalous Josephson Effect in Nonequilibrium Andreev Interferometers
• Theory of Disordered Superconductors with Applications to Nonlinear Current Response
• Anomalous Josephson effect in planar noncentrosymmetric superconducting devices
• Superconducting phases and the second Josephson harmonic in tunnel junctions between diffusive superconductors
• Combined Zeeman and orbital effect on the Josephson effect in rippled graphene
• Josephson currents in chaotic quantum dots

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• Superconducting Diode Effect in Multiphase Superconductors
• Superconducting diode efficiency from singlet-triplet mixing in disordered systems
• Design of a Josephson diode based on double magnetic impurities
• Supercurrent Diode Effect in Josephson Interferometers with Multiband Superconductors
• Josephson Diode Effect from Nonequilibrium Current in a Superconducting Interferometer
• Efficiency of the superconducting diode effect of pair-density-wave states in two-dimensional $d$-wave altermagnets