Description of hysteretic current-voltage characteristics of SNS junctions

TL;DR

This paper presents a simplified model for the hysteretic current-voltage behavior of SNS junctions based on multiple Andreev reflections, enabling calculations across various conditions and explaining the negative differential resistance phenomenon.

Contribution

It introduces a new simplified model for SNS junctions that accounts for hysteresis and negative differential resistance, extending understanding of their I-V characteristics.

Findings

Model successfully calculates I-V curves with hysteresis.

Explains negative differential resistance in SNS junctions.

Applied to high-Tc YBCO + BaPbO3 junctions.

Abstract

Simplified model for current-voltage characteristics of weak links is suggested. It is based on an approach considering the multiple Andreev reflection in metallic Josephson junction. The model allows to calculate current-voltage characteristics of the superconductor - normal metal - superconductor junctions with different thicknesses of normal layer at different temperatures. A hysteretic peculiarity of $V(I)$ dependence is described as result of the negative differential resistance. The current-voltage characteristic of high-$T_c$ composite YBCO +BaPbO${_3}$ were computed.