Current-phase relation in layered superconducting structures of SIS'IS type

TL;DR

This paper derives a general analytical expression for the current-phase relation in layered SIS'IS superconducting structures, accounting for arbitrary dielectric transparency and layer thickness, unifying previous results.

Contribution

It introduces a new analytical formula for the current-phase relation in layered superconductors without restrictions on layer properties.

Findings

Derived a general current-phase relation formula.

Unified previous specific cases under a common framework.

Provided analytical tools for layered superconductor analysis.

Abstract

The dependence of the current density on the phase difference is investigated considering the layered superconducting structures of a SIS'IS type. To simplify the calculations, the quasiclassical equations for the Green's functions in a \textit{t}-representation are derived. An order parameter is considered as a piecewise constant function. To consider the general case, no restrictions on the dielectric layer transparency and the thickness of the intermediate layer are imposed. It was found that a new analytical expression for the current-phase relation can be used with the aim to obtain a number of previously known results arising in particular cases.