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Resonances of dynamical checkerboard states in Josephson arrays with self-inductance

M. Barahona·E. Trias·T. P. Orlando·A. E. Duwel·H. S. J. van der Zant·S. Watanabe·S. H. Strogatz
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Abstract

We study the dynamics of fully frustrated, underdamped Josephson arrays. Experiments reveal remarkable similarities among the dc current-voltage characteristics of several kinds of square and triangular arrays, where two resonant voltages are observed. Simulations indicate that a dynamical checkerboard solution underlies these similarities. By assuming such a solution, we reduce the governing equations to three coupled pendulum equations, and thereby calculate the voltages of the intrinsic resonances analytically.

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M. Barahona, E. Trias, T. P. Orlando, A. E. Duwel, H. S. J. van der Zant, S. Watanabe, S. H. Strogatz. 1997-03-28. Resonances of dynamical checkerboard states in Josephson arrays with self-inductance. https://doi.org/10.1103/physrevb.55.r11989

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