Inductance Effects in Two-Dimensional Arrays of Josephson Junctions

Measurements and numerical studies of the self-induced magnetic field effects of two-dimensional niobium Josephson junction arrays have been performed. Experiments focus on the dc electrical properties of these arrays and can be classified into four regimes: the superconducting state, flow-flow regime, the row-switching state, and novel resonance steps. We find that self-field effects can be modeled accurately with the inclusion of all the cell-to-cell interactions in the array. In the superconducting state, an increase of the depinning current occurs when the penetration depth in the array, is of the order of one or less. There is also evidence for a destruction of commensurate vortex states in the arrays as the depinning current becomes almost independent of the applied magnetic field. In the flux-flow regime, vortices can be modeled as massive particles due to the ca-pacitive energy of the junctions. Self-field effects change the array flux-flow dynamics by effectively decreasing the vortex mass. When a row is switched, all of its junctions oscillate in a coherent fashion at th