Ak. Tagantsev et Kb. Traito, DC-MAGNETIC-FIELD DEPENDENCE OF THE SURFACE IMPEDANCE OF A MULTILAYERSUPERCONDUCTOR SYSTEM IN THE MIXED-STATE, Physical review. B, Condensed matter, 48(14), 1993, pp. 10537-10541
We study the electrodynamics of a superlattice that consists of two ki
nds of layers: the layers of a type-II superconductor and the layers o
f a normal metal in a perpendicular magnetic field. The problem is tre
ated in the framework of London electrodynamics taking into account si
multaneously the nonlocality of the intervortex interaction and the Ab
rikosov vortex elasticity. The dependence of the surface impedance Z o
n the dc-magnetic-field induction B much less than H(c2) (H(c2) is the
upper critical field) is analzyed for different values of the paramet
ers of the superlattice. It is shown that, in the low-frequency limit,
three types of Z (B) dependence are possible: (i) Z is-proportional-t
o B for small fields and Z is-proportional-to B1/2 for large fields, w
ith a crossover at B almost-equal-to H(c1) (H(c1) is the lower critica
l field); (ii) Z is-proportional-to B1/2 for any fields; or (iii) Z =
AB1/2 for small fields and Z = CB1/2 for large fields, the coefficient
s A and C being nonequal, with the crossover AB1/2-->CB1/2 at B almost
-equal-to H(c1). The type-(i) dependence characteristic of a uniform s
uperconductor converts into a type-(ii) dependence as one diminishes t
he thickness of the superconductor layers. The physical origin of this
conversion is explained. It is suggested that observed dependence in
multilayer superconductor systems Z is-proportional-to B1/2 is due to
the effect discussed in the paper.