Abstract
We examine the effects of grain-boundaries on the order-parameter and critical-currents in superconductors. We use a geometrical model of the lattice structure of grain-boundaries. We solve the Bogoliubov-de Gennes equation using the Recursion Method to obtain the self-consistent BCS gap function Δ and the local density of states N(itE) near the boundary. Imposing a phase difference across the boundary we calculate the supercurrent and hence obtain the critical-current, Ic, of the junction.
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Hogan-Os'Neill, J.J., Martin, A.M. & Annett, J.F. Effects of Grain-Boundaries in Superconducting Materials. MRS Online Proceedings Library 491, 407–414 (1997). https://doi.org/10.1557/PROC-491-407
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DOI: https://doi.org/10.1557/PROC-491-407