FLUX-PINNING BARRIERS IN 2-DIMENSIONAL ARRAYS OF SHORT JOSEPHSON-JUNCTIONS

Two-dimensional square arrays of short Josephson junctions are investigated using a model which includes both the lumped Josephson circuit elements and an equivalent inductance for the superconducting loops. We have supposed that all junction parameters and the inductances are identical. The analysis of the Gibbs thermodynamic potential shows the existence of energy barriers for a basic process for the diamagnetic behavior of the array: The motion of a flux quantum in the interior of the array. These barriers have been numerically evaluated as a function of the array parameters. The effect of the bias current is discussed and the critical current of the array has been estimated.