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Higher order Shapiro steps in ac-driven Josephson junctions

Kim O. Rasmussen, Vadim Zharnitsky, Igor Mitkov, Niels Grønbech-Jensen

patt-solarXiv:patt-sol/9809003

Abstract

We demonstrate that the well known phase-locking mechanism leading to Shapiro steps in ac-driven Josephson junctions is always accompanied by a higher order phase-locking mechanism similar to that of the parametrically driven pendulum. This effect, resulting in a π-periodic effective potential for the phase, manifests itself clearly in the parameter regions where the usual Shapiro steps are expected to vanish.

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