Eur. Phys. J. B 5, 187-192 (1998)
https://doi.org/10.1007/s100510050433

Investigations on phase locking in a two-dimensional Josephson junction array within the Werthamer and the RCSJ model

Friedrich-Schiller-Universität Jena, Institut für Festkörperphysik, Max-Wien-Platz 1, 07743 Jena, Germany

Corresponding authors: ^a p5bifr@rz.uni-jena.de - ^b okp@rz.uni-jena.de - ^c owk@rz.uni-jena.de

Received: 23 March 1998
Revised: 3 June 1998
Accepted: 9 June 1998
Published online: 15 September 1998

Abstract

The synchronization properties of a simple two-dimensional Josephson array consisting of two coupled SQUID cells are studied within the Werthamer as well as the RCSJ model. Special emphasis is placed on the role of inductances arranged perpendicular and parallel to the current bias direction for the phase locking behavior. The general behavior within the Werthamer model is found to be similar to that within the RCSJ model. However, there are quantitative differences, e.g. an enhanced phase shift between the voltage oscillations within one cell and a shift of the parameter range for the in-phase regime between different cells towards lower values of the McCumber parameter in the Werthamer model.