Synchronization and phase locking in two-dimensional arrays of Josephson junctions.

Abstract

We report numerical studies of phase locking in two-dimensional (2D) arrays of Josephson junctions. In the conventional 2D arrays biased with dc current in the horizontal (X) direction, the phase-locked solution is only possible in arrays with no disorder. In the presence of disorder in the junction critical currents, we see vertical (Y) columns of phase locked clusters form in the array with no intercolumn locking. As an extension, we introduced a geometry called XY-biased array, where the array is biased in both X and Y directions. In XY-biased array we found a dynamical state, where all junction voltages are strictly dc and the only oscillating components are the supercurrents in each junction. This dynamical state is stable against experimentally achievable disorder in the junction critical currents. \textcopyright{} 1996 The American Physical Society.