Theory of phase-locking in generalized hybrid Josephson junction arrays
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/9605159,
title = {Theory of phase-locking in generalized hybrid Josephson junction arrays},
author = {Michael Basler and Wolfram Krech and Konstantin Yu. Platov},
journal= {arXiv preprint arXiv:cond-mat/9605159},
year = {2009}
}
Comments
24 pages, REVTeX, 5 Postscript figures, Subm. to Phys. Rev. B