Static Properties of Small Josephson Tunnel Junctions in a Transverse Magnetic Field

TL;DR

This paper numerically simulates the magnetic field distribution in small Josephson tunnel junctions with perpendicular magnetic fields, deriving analytical solutions for phase profiles and comparing them with experimental data.

Contribution

It provides heuristic analytical solutions for the Josephson phase profile in small junctions under transverse magnetic fields, enhancing understanding of their static properties.

Findings

Derived dependence of maximum Josephson current on magnetic field amplitude

Compared theoretical predictions with experimental data

Provided numerical simulations of magnetic field distribution

Abstract

The magnetic field distribution in the barrier of small planar Josephson tunnel junctions is numerically simulated in the case when an external magnetic field is applied perpendicular to the barrier plane. The simulations allow for heuristic analytical solutions for the Josephson static phase profile from which the dependence of the maximum Josephson current on the applied field amplitude is derived. The most common geometrical configurations are considered and, when possible, the theoretical findings are compared with the experimental data.