Nonequilibrium Josephson current in ballistic multiterminal SNS junctions

Abstract We study the nonequilibrium Josephson current in a long two-dimensional ballistic SNS junction with a normal reservoir coupled to the normal part of the junction. The current for a given superconducting phase difference φ oscillates as a function of voltage applied between the normal reservoir and the SNS junction. The period of the oscillations is πℏ v F / L , with L the length of the junction, and the amplitude of the oscillations decays as V −3/2 for eV ≫ℏ v F / L and zero temperature. The critical current I c shows a similar oscillating, decaying behavior as a function of voltage, changing sign every oscillation. Normal specular or diffusive scattering at the NS interfaces does not qualitatively change the picture.