Controllable plasma energy bands in a 1D crystal of fractional Josephson vortices

Abstract

We consider a 1D chain of fractional vortices in a long Josephson junction with alternating $\pm \kappa$ phase discontinuities. Since each vortex has its own eigenfrequency, the inter-vortex coupling results in eigenmode splitting and in the formation of an oscillatory energy band for plasma waves. The band structure can be controlled at the design time by choosing the distance between vortices or \emph{during experiment} by varying the topological charge of vortices or the bias current. Thus one can construct an artificial vortex crystal with controllable energy bands for plasmons.

4 pages, 2 Figs

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• Interference patterns of multifacet 20x(0-pi-) Josephson junctions with ferromagnetic barrier
• Sub-μm Josephson Junctions for Superconducting Quantum Devices
• Coherent emission from disordered arrays of driven Josephson vortices
• Semifluxons in Superconductivity and Cold Atomic Gases
• Magnetic field dependence of the critical current in YBa_2Cu_3O_{7-δ}/Au/Nb ramp-zigzag Josephson junctions
• Existence and stability analysis of finite 0-$\pi$-0 Josephson junctions
• Localized mode interactions in 0-pi Josephson junctions