A microscopic model for Josephson currents

TL;DR

This paper presents a microscopic model for Josephson junctions, explicitly constructing the nonequilibrium steady state and rigorously computing the Josephson current based on phase differences, recovering key properties of the phenomenon.

Contribution

It introduces a detailed microscopic framework for Josephson currents, providing explicit construction and analysis of the steady state and current calculations.

Findings

Josephson current computed as a function of phase difference

Properties of Josephson current recovered

Explicit steady state constructed and analyzed

Abstract

A microscopic model of a Josephson junction between two superconducting plates is proposed and analysed. For this model, the nonequilibrium steady state of the total system is explicitly constructed and its properties are analysed. In particular, the Josephson current is rigorously computed as a function of the phase difference of the two plates and the typical properties of the Josephson current are recovered.