3 research outputs found
Common features of vortex structure in long exponentially shaped Josephson junctions and Josephson junctions with inhomogeneities
We study vortex structure in three different models of long Josephson
junctions: exponentially shaped Josephson junction and Josephson junctions with
resistor and shunt inhomogeneities in barrier layer. Numerical calculations of
the possible magnetic flux distributions and corresponding bifurcation curves
have done. For these three models the critical curves ``critical
current-magnetic field'' are constructed. We develop an idea of the equivalence
of exponentially shaped Josephson junction and rectangular junction with
distributed inhomogeneity and demonstrate that at some parameters of shunt and
resistor inhomogeneities at the ends of the junction the corresponding critical
curves are very close to the exponentially shaped one.Comment: Presented for M2S, Dresden, July 9-14, 200
Vortex structure in exponentially shaped Josephson junctions
We report the numerical calculations of the static vortex structure and
critical curves in exponentially shaped long Josephson junctions for in-line
and overlap geometries. Each solution of the corresponding boundary value
problem is associated with the Sturm-Liouville problem whose minimal eigenvalue
allows to make a conclusion about the stability of the vortex. The change in
width of the junction leads to the renormalization of the magnetic flux in
comparison to the case of a linear one-dimensional model. We study the
influence of the model's parameters and, particularly, the shape parameter on
the stability of the states of the magnetic flux. We compare the vortex
structure and critical curves for the in-line and overlap geometries. Our
numerically constructed critical curve of the Josephson junction matches well
with the experimental one.Comment: 8 pages, 10 figures, NATO Advanced Research Workshop on "Vortex
dynamics in superconductors and other complex systems" Yalta, Crimea,
Ukraine, 13-17 September 200