U. Gunsenheimer et Ad. Zaikin, BALLISTIC CHARGE-TRANSPORT IN SUPERCONDUCTING WEAK LINKS, Physical review. B, Condensed matter, 50(9), 1994, pp. 6317-6331
Ballistic charge transport through mesoscopic superconductor-normal-me
tal-superconductor (SNS) microbridges is investigated within the frame
work of the Keldysh technique. At low voltages we find a peak in the c
onductance G approximately (l(in)/2a)(1/R0), where lin is the inelasti
c mean free path, 2a is the normal layer thickness, and R0 is the Shar
vin resistance. In this limit the dissipative current is carried by qu
asiparticles which are trapped in the pair potential well of height DE
LTA, suffering multiple Andreev reflections and relaxing inside the N
layer. For larger voltages eV greater than or similar to (2a/l(in))DEL
TA quasiparticle are accelerated out of the N layer and relax in super
conducting banks. The current-voltage characteristic of the system in
this regime is calculated both analytically and numerically. In the in
termediate voltage range V approximately DELTA/e we analyze the subhar
monic gap structure on the I-V curve and show that this structure is m
ost pronounced in the temperature range T approximately DELTA/k(B) and
vanishes for both T --> 0 and T --> T(C). We explain this behavior ta
king into account the contribution of thermally excited quasiparticles
with momenta opposite to the direction of total current flow.