2D Arrays of Josephson Junctions in a Magnetic Field:
A Stability Analysis of Synchronized States
B. R. Trees, Department of Physics and Astronomy,
Ohio Wesleyan University,
Delaware, Ohio 43015; and
D. Stroud, Department of Physics, The Ohio State University,
Columbus, Ohio 43210
We report the results of a Floquet analysis of 2D arrays of resistively
and capacitively shunted Josephson junctions in an external transverse
magnetic field. The Floquet analysis indicates stable
phase-locking of the active junctions over a finite range of values of the
bias current and junction capacitance, even in the absence of an external load.
This stable phase-locking is robust against critical current disorder, up to
at least a plus or minus 25% rms spread in critical currents.
PACS No.: 74.50+r