Ba. Malomed et al., PENETRATION OF MAGNETIC-FLUX INTO LAYERED SUPERCONDUCTORS WITH TRAPPED CHAINS OF FLUXONS, Physical review. B, Condensed matter, 48(10), 1993, pp. 7348-7355
We consider configurations of the magnetic flux trapped in a layered s
uperconductor (superlattice) in the form of oblique strings of Josephs
on vortices (one vortex per layer). It is shown that the string consis
ting of unipolar Josephson vortices is stable provided the spacing in
the string is larger than a certain critical value; otherwise, the str
ing consisting of alternating Josephson vortices is stable. Then, a st
ring with pinned edges in the presence of a dc bias current is conside
red. A critical current density that gives rise to rupture of the stri
ng is found. The string plays the role of a specific barrier preventin
g penetration of an additional flux quantum into the system. To analyz
e this role in detail, we consider collisions of a free vortex with th
e string pinned at its edges. The following outcomes of the collision
have been found: capture, reflection, destruction of a chain, and elas
tic scattering.