Mechanism of generation of a Josephson phase shift by an Abrikosov vortex

Abstract

Abrikosov vortex contains magnetic field and circulating currents that decay at a short range $\lambda \sim 100$ nm. However, the vortex can induce a long range Josephson phase shift at distances $r\sim \mu$m$\gg \lambda$. The mechanism of this puzzling phenomenon is not clearly understood. Here we present a systematic study of vortex-induced phase shift in planar Josephson junctions. We make two key observations: (i) The cutoff effect: although vortex-induce phase shift is a long-range phenomenon, it is terminated by the junction and does not persists beyond it. (ii) A crossover from linear to superlinear dependence of the phase shift on the vortex polar angle occurs upon approaching of the vortex to the junction. The crossover occurs at a distance comparable with the penetration depth. This, together with theoretical and numerical analysis of the problem, allows unambiguous identification of two distinct and independent mechanisms. The short range mechanism is due to circulating vortex currents {\it inside} superconducting electrodes without involvement of magnetic field. The long range mechanism is due to stray magnetic fields {\it outside} electrodes without circulating vortex currents. We argue that understanding of controlling parameters of vortex-induced Josephson phase shift can be used for development of compact and fast electronic devices with low dissipation power.

14 pages, 8 Figs

References in corpus (16)

• Beyond Moore's technologies: operation principles of a superconductor alternative
• Half-integer Shapiro steps at the 0-pi crossover of a ferromagnetic Josephson junction
• Tuning the Gap of a Superconducting Flux Qubit
• Experimental evidence of a ϕ Josephson junction
• Optical Manipulation of Single Flux Quanta
• Theory of heterotic SIS Josephson junctions between single- and multi-gap superconductors
• Spin-valve Josephson junctions for cryogenic memory
• φ-State and Inverted Fraunhofer Pattern in Nonaligned Josephson Junctions
• Controllable generation of a spin-triplet supercurrent in a Josephson spin-valve
• Gradiometric flux qubits with tunable gap
• Planar Superconductor-Ferromagnet-Superconductor Josephson junctions as scanning probe sensors
• Josephson junctions in narrow thin-film strips
• Tuned transition from quantum to classical for macroscopic quantum states
• Phase-sensitive evidence for the sign-reversal s+- symmetry of the order parameter in an iron-pnictide superconductor using Nb/Ba1-xNaxFe2As2 Josephson junctions
• Non-ideal artificial phase discontinuity in long Josephson 0-kappa-junctions
• Phase diagram of Josephson junction between s and s+- superconductors in dirty limit

Cited by in corpus (12)

• Demonstration of a superconducting diode-with-memory, operational at zero magnetic field with switchable nonreciprocity
• Van der Waals Ferromagnetic Josephson Junctions
• Josephson junctions in a local inhomogeneous magnetic field
• Nonlocal long-range synchronization of planar Josephson junction arrays
• Crossover between short and long range proximity effects in SFS junctions with Ni-based ferromagnets
• Word and bit line operation of a 1x1 μm2 superconducting vortex-based memory
• Probing confined vortices with a superconducting nanobridge
• A topological flux trap: Majorana bound states at screw dislocations
• Numerical modelling of a vortex-based superconducting memory cell: dynamics and geometrical optimization of a fluxonic quantum dot
• Holographic reconstruction of magnetic field distribution in a Josephson junction from diffraction-like Ic(H) patterns
• Asymmetric Fraunhofer pattern in Josephson junctions from heterodimensional superlattice V${}_5$S${}_8$
• Planar Josephson junctions for sensors and electronics:Different geometry, new functionality