J. Sanchezcanizares et F. Sols, SELF-CONSISTENT SCATTERING DESCRIPTION OF TRANSPORT IN NORMAL-SUPERCONDUCTOR STRUCTURES, Physical review. B, Condensed matter, 55(1), 1997, pp. 531-543
We present a scattering description of transport in several normal-sup
erconductor structures. We show that the related requirements of self-
consistency and current conservation introduce qualitative changes in
the transport behavior when the current in the superconductor is not n
egligible. The energy thresholds for quasiparticle propagation in the
superconductor are sensitive to the existence of condensate flow (v(s)
not equal 0). This dependence is responsible for a rich variety of tr
ansport regimes, including a voltage range in which only Andreev trans
mission is possible at the interfaces, and a state of gapless supercon
ductivity which may survive up to high voltages if temperature is low.
The two main effects of current conservation are a shift towards lowe
r voltages of the first peak in the differential conductance and an en
hancement of current caused by the greater availability of charge tran
smitting scattering channels.