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Penentration of dynamic localized states in DC-driven Josephson junction ladders by discrete jumps

M. V. Fistul·J. B. Page
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Abstract

We give a theoretical study of unusual resistive (dynamic) localized states in anisotropic Josephson junction ladders, driven by a DC current at one edge. These states comprise nonlinearly coupled rotating Josephson phases in adjacent cells, and with increasing current they are found to expand into neighboring cells by a sequence of sudden jumps. We argue that the jumps arise from instabilities in the ladder's superconducting part, and our analytic expressions for the peculiar voltage (rotational frequency) ratios and I-V curves are in very good agreement with direct numerical simulations.

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M. V. Fistul, J. B. Page. 2001-06-26. Penentration of dynamic localized states in DC-driven Josephson junction ladders by discrete jumps. https://doi.org/10.1103/physreve.64.036609

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