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Dynamics of Josephson junctions and single-flux-quantum networks with superconductor-insulator-normal metal junction shunts

A. B. Zorin, E. M. Tolkacheva, M. I. Khabipov, F. -I. Buchholz, J. Niemeyer

cond-mat.supr-conarXiv:cond-mat/0512615

Abstract

Within the framework of the microscopic model of tunneling, we modelled the behavior of the Josephson junction shunted by the Superconductor-Insulator-Normal metal (SIN) tunnel junction. We found that the electromagnetic impedance of the SIN junction yields both the frequency-dependent damping and dynamic reactance which leads to an increase in the effective capacitance of the circuit. We calculated the dc I-V curves and transient characteristics of these circuits and explained their quantitative differences to the curves obtained within the resistively shunted junction model. The correct operation of the basic single-flux-quanta circuits with such SIN-shunted junctions, i.e. the Josephson transmission line and the toggle flip-flop, have also been modelled.

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