Theory of phase-locking in generalized hybrid Josephson junction arrays

Details Theory of phase-locking in generalized hybrid Josephson junction arrays Theory of phase-locking in generalized hybrid Josephson junction arrays

1996-05-24

arxiv.org/abs/cond-mat/9605159v1

Physics

Condensed Matter

24 pages, REVTeX, 5 Postscript figures, Subm. to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.55.1114

A recently proposed scheme for the analytical treatment of the dynamics of two-dimensional hybrid Josephson junction arrays is extended to a class of generalized hybrid arrays with ''horizontal'' shunts involving a capacitive as well as an inductive component. This class of arrays is of special interest, because the internal cell coupling has been shown numerically to favor in-phase synchronization for certain parameter values. As a result, we derive limits on the circuit design parameters for realizing this state. In addition, we obtain formulas for the flux-dependent frequency including flux-induced switching processes between the in-phase and anti-phase oscillation regime. The treatment covers unloaded arrays as well as arrays shunted via an external load.

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