On Exponentially Shaped Josephson Junctions

Vortex structure in exponentially shaped Josephson junctions

We report the numerical calculations of the static vortex structure and critical curves in exponentially shaped long Josephson junctions for in-line and overlap geometries. Each solution of the corresponding boundary value problem is associated with the Sturm-Liouville problem whose minimal eigenvalue allows to make a conclusion about the stability of the vortex. The change in width of the junc...

Field dependence of the Josephson current and Fiske resonances in specially shaped Josephson junctions

We investigated the magnetic-field dependence of the Josephson current and Fiske resonances in specially shaped Josephson junctions. In order to be able to use junctions for high-resolution X-ray spectroscopy, a very good suppression of the sidelobes of both the Josephson current and the Fiske resonances must be achieved. In a theoretical argument we show that a properly chosen junction shape l...

3He Josephson Junctions

The flow of superfluid 3He-B through a 65 3 65 array of nanometer-size apertures has been measured recently by Backhaus et al. They find in the current-phase relation a new branch, the so-called p state. We study two limiting cases which show that the p state arises from the coupling of the phase degree of freedom to the spin-orbit rotation. The p state exists in a single large aperture, but is...

On kink-dynamics of Stacked-Josephson Junctions

Dynamics of a fluxon in a stack of coupled long Josephson junctions is studied numerically. Based on the numerical simulations, we show that the dependence of the propagation velocity c on the external bias current γ is determined by the ratio of the critical currents of the two junctions J .

Topological Josephson φ0 junctions