Theory of anomalous magnetic interference pattern in mesoscopic SNS Josephson junctions

TL;DR

This paper generalizes the current-phase relation in mesoscopic SNS Josephson junctions to include normal scattering at NS boundaries, explaining the experimentally observed flattening of the diffraction peak.

Contribution

It introduces a generalized formula for the current-phase dependence accounting for boundary scattering in finite-width SNS junctions.

Findings

Flattening of the first diffraction peak matches experimental data

Generalized Ishii's formula for boundary scattering

Enhanced understanding of magnetic interference patterns in mesoscopic SNS junctions

Abstract

The magnetic interference pattern in mesoscopic SNS Josephson junctions is sensitive to the scattering in the normal part of the system. In this paper we investigate it, generalizing Ishii's formula for current-phase dependence to the case of normal scattering at NS boundaries in an SNS junction of finite width. The resulting flattening of the first diffraction peak is consistent with experimental data for S-2DEG-S mesoscopic junctions.