Quantum Resonances of Weakly Linked, Mesoscopic, Superconducting Dots

TL;DR

This paper investigates quantum effects in weakly linked mesoscopic superconducting dots, revealing how quasi-particle resonances significantly alter current-phase relations and affect the Josephson current.

Contribution

It introduces a detailed analysis of quantum properties in mesoscopic superconducting dots with weak links, highlighting the impact of quasi-particle resonances on Josephson effects.

Findings

Quasi-particle resonances cause notable deviations in current-phase relations.

Steady state dc Josephson current behavior is characterized for coupled dots.

Quantum properties differ from those in macroscopic superconductor links.

Abstract

We examine quantum properties of mesoscopic, Josephson coupled superconducting dots, in the limit that charging effects and quantization of energy levels within the dots are negligible, but quasi-particle transmission into the weak link is not. We demonstrate that quasi-particle resonances lead to current-phase relations, which deviate markedly from those of weak links connecting macroscopic superconductors. Results for the steady state dc Josephson current of two coupled dots are presented.