Properties of SAS Josephson junctions in SO(5) theory

TL;DR

This paper explores the properties of SAS Josephson junctions within Zhang's SO(5) theory, highlighting differences from conventional junctions through derived current-phase relations and analyzing their electrical and magnetic behaviors.

Contribution

It introduces a simplified approximation for the non-sinusoidal current-phase relation in SAS junctions based on SO(5) theory, extending understanding of their unique properties.

Findings

Derived the non-sinusoidal current-phase relation for SAS junctions.

Analyzed the current-voltage characteristics and Shapiro steps.

Explored thermal fluctuation effects and diffraction patterns in magnetic fields.

Abstract

We derive the qualitative behavior of superconductor-antiferromagnet- superconductor (SAS) Josephson junctions described by Zhang's SO(5) theory. The main differences between these junctions and conventional SIS junctions arise from the non-sinusoidal current-phase relation derived by Demler et al. for thin SAS junctions. Using a simple approximation to this non-sinusoidal function, the current voltage relation, Shapiro steps, thermal fluctuation effects and the diffraction pattern in a magnetic field are obtained.