Josephson and spontaneous currents at the interface between two d-wave superconductors with transport current in the banks

TL;DR

This paper theoretically investigates how a transport current influences the Josephson and surface currents at the interface of two d-wave superconductors with different orientations, revealing interference effects on spontaneous surface currents.

Contribution

It introduces a theoretical model analyzing the impact of transport current on current-phase relations and spontaneous surface currents in d-wave superconductor interfaces.

Findings

Transport current affects the current-phase dependence.

Spontaneous surface current depends on the transport current.

Interference of wave functions influences surface current behavior.

Abstract

A stationary Josephson effect in the ballistic contact of two d-wave superconductors with different axes orientation and with tangential transport current in the banks is considered theoretically. We study the influence of the transport current on the current-phase dependence for the Josephson and tangential currents at the interface. It is demonstrated that the spontaneous surface current at the interface depends on the transport current in the banks due to the interference of the angle-dependent current-carrying condensate wave functions of the two superconductors.