Influence of induced magnetic fields on the static properties of one-dimensional parallel Josephson-junction arrays

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Abstract
With use of numerical simulation we investigate the influence of self-fields on the static properties of one-dimensional parallel arrays of Josephson junctions. We determine the currents and fields around a vortex, and the critical current versus magnetic field when the mutual inductances between all cell pairs are included. We find that for these static properties a good approximation can be obtained by using self-inductances only, but with a larger effective penetration depth which is determined by the ratio of the nearest-neighbor inductance to the self-inductance of the loops. We also find that for small penetration depths there is an energy barrier for vortex motion from one cell to the next but inclusion of all the mutual inductances only has a minor influence on this energy barrier.