Theoretical study of the Josephson current through a junction including ferromagnetic insulator

TL;DR

This paper provides a theoretical analysis of Josephson junctions with ferromagnetic insulators, revealing how the exchange interaction influences the transition between 0 and π junction states.

Contribution

It introduces a theoretical model for Josephson junctions with ferromagnetic insulators and predicts the transition from 0 to π junctions based on exchange interaction strength.

Findings

Current exhibits anomalous dependence on exchange interaction

Transition from 0 to π junction with increasing exchange interaction

Theoretical framework for ferromagnetic insulator Josephson junctions

Abstract

The properties of Josephson junction including a ferromagnetic insulating layer are studied theoretically. The calculated current shows the anomalous dependence on the magnitude of the exchange interaction at the interface. The Josephson junction changes from 0-junction to $\pi$-junction with the increase of the magnitude of the exchange interaction.