The Critical Current of Point Symmetric Josephson Tunnel Junctions

TL;DR

This paper investigates how the shape of point symmetric Josephson tunnel junctions influences their magnetic diffraction patterns and critical currents, providing analytical insights into junctions with complex geometries.

Contribution

It introduces a theoretical framework for analyzing magnetic diffraction patterns of point symmetric junctions with complex shapes, including unions and complements of symmetric figures.

Findings

Derived threshold curves for point symmetric junctions

Analyzed effects of shape invariance under point reflection

Provided analytical expressions for magnetic diffraction patterns

Abstract

The physics of Josephson tunnel junctions drastically depends on their geometrical configurations. The shape of the junction determines the specific form of the magnetic-field dependence of the its Josephson current. Here we address the magnetic diffraction patterns of specially shaped planar Josephson tunnel junctions in the presence of an in-plane magnetic field of arbitrary orientations. We focus on a wide ensemble of junctions whose shape is invariant under point reflection. We analyze the implications of this type of isometry and derive the threshold curves of junctions whose shape is the union or the relative complement of two point symmetric plane figures.