Sv. Kuplevakhsky et Sv. Naydenov, CURRENT-CARRYING STATES IN SUPERCONDUCTING MULTILAYERS WITH JOSEPHSONINTERLAYER COUPLING FOR TEMPERATURES CLOSE TO T-C0 - A MICROSCOPIC THEORY, Physical review. B, Condensed matter, 56(5), 1997, pp. 2764-2778
We present a complete, self-consistent, microscopic description of cur
rent-carrying states in all sorts of superconducting multilayers with
interlayer Josephson coupling near the bulk critical temperature, T-c0
: superconductor-insulator (SI) superlattices with or without intrabar
rier exchange interactions and nonmagnetic impurities inside supercond
ucting (S) layers, pure structures with point-contact-type interlayer
coupling, superconductor-normal-metal (SN) superlattices with an arbit
rary concentration of nonmagnetic impurities. and SN superlattices in
the dirty limit with paramagnetic impurities inside N barriers. We hav
e obtained closed analytical expressions for the Josephson current as
a function of an S layer thickness, a. For all these systems drastic d
eviations from a single-junction case were found: a reduction of the c
ritical Josephson current j(c) for pure SI superlattices with a less t
han or equal to xi(0), nontrivial current-phase dependence for multila
yers with point-contact-type coupling and a less than or equal to xi(0
), and nontrivial temperature dependence of j(c) for SN superlattices,
Mathematically, our approach is based solely on the use of a microsco
pic free-energy functional. For a much greater than xi(0), we reduce t
his functional to a Ginzburg-Landau-type functional with an extra term
accounting for the interface free energy. For SI superlattices, in an
appropriate limit this latter reduces to a Lawrence-Doniach-type func
tional with microscopically defined coefficients.