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Higher-order effects on Shapiro steps in Josephson junctions

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

DOI 10.1103/PhysRevB.59.58 · Physical Review B

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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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