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

M. Basler; W. Krech; K. Yu. Platov

doi:10.1103/PhysRevB.55.1114

← Back to search

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

M. Basler, W. Krech, K. Yu. Platov

DOI 10.1103/PhysRevB.55.1114 · Physical Review B

T1

Active bibliographic source — not scientific approval

Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.

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 antiphase oscillation regime. The treatment covers unloaded arrays as well as arrays shunted via an external load.