The critical current and current-voltage characteristics of step-edge
HTS SNS junctions are discussed theoretically. In accordance with the
experimental data it is assumed that the current transport through bot
h NS interfaces takes place In ab-direction. In the bottom interface (
(001) surface of YBCO) the ab-coupling may occur due to atomic steps w
hich play a role of constrictions for the current flam. Therefore the
contact is modelled las SNS structure with system of constrictions loc
ated at both interfaces. The IcRN product anal the excess current I-cx
are calculated as a function of temperature, interface transparency a
nd N layer thickness. It is shown that in accordance with the experime
ntal data the I-cx and I-c are of the same order of magnitude in a bro
ad parameter range.