Double-vertically-stacked Josephson junctions: Numerical and analytical analyses of a current-biased system in a magnetic field

Abstract

We examine the solutions of the nonlinear equations governing the behavior of a current-biased, double-vertically-stacked, Josephson junction. Both inline and overlap biasing current geometries are considered. The solution space is investigated analytically and using numerical techniques. We characterize the types of solutions expected analytically for zero current and find good approximations for large magnetic fields. We study this space and its stability as a function of magnetic field and applied bias current. Selective results are presented that characterize the general behavior of the solution space.