Estimation of intergranular transparency of diffusive superconducting films from the shape of the density of states of the Abrikosov vortex
M. M. Khapaeva, M. Yu. Kupriyanovb, c, A. A. Golubovd, V. S. Stolyarove,f
aComputational Mathematics and Cybernetics, Department of Numerical Methods, Lomonosov Moscow State University,
119991 Moscow, Russia
bSkobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, 119991 Moscow, Russia
cMoscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia
dMoscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia
eMoscow Institute of Physics and Technology, 141700 Dolgoprudny, Russia
fAll-Russian Research Institute of Automatics n.a. N.L. Dukhov (VNIIA), 127030 Moscow, Russia
Abstract
A technique has been developed for the evaluation of the transparency of
grain boundaries in polycrystalline superconducting films. The model is
founded upon a numerical algorithm for calculating the density of states
of an Abrikosov vortex located in the center of a cylindrical granule,
separated from the main superconducting matrix by a boundary with finite
transparency. The present study calculates the dependencies of the gap
difference in the density of states on both sides of the boundary and
uses this difference to estimate the transparency of the interface.