In-plane fluxon in layered superconductors with arbitrary number of layers

Abstract

I derive an approximate analytic solution for the in-plane vortex (fluxon) in layered superconductors and stacked Josephson junctions (SJJ's) with arbitrary number of layers. The validity of the solution is verified by numerical simulation. It is shown that in SJJ's with large number of thin layers, phase/current and magnetic field of the fluxon are decoupled from each other. The variation of phase/current is confined within the Josephson penetration depth, ${\lambda }_J$, along the layers, while magnetic field decays at the effective London penetration depth, ${\lambda }_c\gg {\lambda }_J$. For comparison with real high-$T_c$ superconducting samples, large scale numerical simulations with up to 600 SJJ's and with in-plane length up to 4000 ${\lambda }_J$%, are presented. It is shown, that the most striking feature of the fluxon is a Josephson core, manifesting itself as a sharp peak in magnetic induction at the fluxon center.

4 pages, 4 figures. Was presented in part at the First Euroconference on Vortex Matter in Superconductors (Crete, September 1999)

References in corpus (6)

• Collective Dynamics of Josephson Vortices in Intrinsic Josephson Junctions :Exploration of In-phase Locked Superradiant Vortex Flow States
• Global and Local Measures of the Intrinsic Josephson Coupling in Tl2Ba2CuO6
• Lower critical field H_c1 and barriers for vortex entry in Bi_2Sr_2CaCu_2O_{8+delta} crystals
• Magnetic field of an in-plane vortex outside a layered superconductor
• Magnetic field dependence of the critical current in stacked Josephson junctions. Evidence for fluxon modes in Bi2Sr2CaCu2O8+x mesas
• Single fluxon in double stacked Josephson junctions: Analytic solution

Cited by in corpus (13)

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• THz emission from intrinsic Josephson junctions at zero magnetic field via breather auto-oscillations
• Generation of tunable Terahertz out-of-plane radiation using Josephson vortices in modulated layered superconductors
• THz emission from a stacked coherent flux-flow oscillator: non-local radiative boundary conditions and the role of geometrical resonances
• Observation of superluminal geometrical resonances in Bi2Sr2CaCu2O8+x intrinsic Josephson junctions
• Josephson junctions in a local inhomogeneous magnetic field
• Static Solitons of the Sine-Gordon Equation and Equilibrium Vortex Structure in Josephson Junctions
• Stabilization of in-phase fluxon state by geometrical confinement in small Bi-2212 mesa structures
• Temperature dependence of geometrical and velocity matching resonances in Bi2Sr2CaCu2O8+x intrinsic Josephson junctions
• Density functional theory for freezing transition of vortex-line liquid with periodic layer pinning
• Radiative annihilation of a soliton and an antisoliton in the coupled sine-Gordon equation
• Instability of flux flow and production of vortex-antivortex pairs by current-driven Josephson vortices in layered superconductors
• Ground states for three-layer hybrid superconductor