Coherent States of Two-dimensional Josephson Junction Networks

Physics – Condensed Matter

Scientific paper

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8 pages + 13 figures appended as uuencodes files, Standard LaTeX, Emails: owk@rz.uni-jena.de, okp@rz.uni-jena.de

Scientific paper

10.1063/1.358920

We have investigated numerically the phase--locking behavior of two-dimensional Josephson junction arrays,taking into account a finite inductance ($l\stackrel{>}{\sim}1$) of the unit cell and external magnetic fields. Within this model we demonstrate the existence of multi--valued {\it I--V} curves of the network. Different branches of the {\it I--V} curve correspond to "in--phase" and "anti--phase" coherent states with high and low levels of output power, respectively. The arrays show remarkable hysteretic transitions between these states under influence of external magnetic fluxes in the range $ - \Phi_0/4 < \Phi_{ext} < \Phi_0/4 $.

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