Critical transport currents of superconducting microarrays

Abstract

From the nonlinear Ginzburg-Landau equations exact maximum supercurrent densities of injected transport currents were calculated for a square microarray as a function of lattice parameter. In the limit that the lattice parameter becomes small in comparison to the temperature dependent coherence length, values of the maximum current were also obtained for honeycomb and rectangular arrays. The honeycomb array has anisotropic critical current densities with 3-fold symmetry in the plane of the array Determination des densites critiques de courant superconducteur a partir des equations de Ginzburg-Landau non lineaires pour des courants de transport injectes dans un reseau carre, en fonction de la periode du reseau. Valeurs maximales du courant pour les reseaux rectangulaires et hexagonaux lorsque la periode du reseau devient petite devant la longueur de coherence supraconductrice