Planar Josephson Tunnel Junctions in an Asymmetric Magnetic Field

Abstract

We analyze the consequences resulting from the asymmetric boundary conditions imposed by a non-uniform external magnetic field at the extremities of a planar Josephson tunnel junction and predict a number of testable signatures. When the junction length $L$ is smaller than its Josephson penetration depth ${\lambda }_j$, static analytical calculations lead to a Fresnel-like magnetic diffraction pattern, rather than a Fraunhofer-like one typical of a uniform field. Numerical simulations allow to investigate intermediate length ($L\approx {\lambda }_j$) and long ($L>{\lambda }_j$) junctions. We consider both uniform and $\delta$-shaped bias distributions. We also speculate on the possibility of exploiting the unique static properties of this system for basic experiments and devices.

9 pages, 3 figures

References in corpus (2)

• Spontaneous Fluxoid Formation in Superconducting Loops
• $\delta$-biased Josephson tunnel junctions

Cited by in corpus (4)

• Self-field effects in window-type Josephson tunnel junctions
• Role of boundary conditions in the full counting statistics of topological defects after crossing a continuous phase transition
• Elliptic Annular Josephson Tunnel Junctions in an external magnetic field: The statics
• Josephson Tunnel Junctions in a Magnetic Field Gradient