Dual relaxation oscillations in a Josephson junction array

TL;DR

This paper investigates relaxation oscillations in a one-dimensional Josephson junction array, revealing dual circuit behavior, bias dependence, and thermal effects, with implications for understanding complex superconducting systems.

Contribution

It introduces the concept of dual relaxation oscillations in Josephson junction arrays and provides a comprehensive thermal and circuit model to explain their dynamics.

Findings

Oscillations are circuit-dual to those in single junctions.

Injection locking produces well-defined current plateaux.

Thermal effects explain the relaxation steps.

Abstract

We report relaxation oscillations in a one-dimensional array of Josephson junctions. The oscillations are circuit-dual to those ordinarily observed in single junctions. The dual circuit quantitatively accounts for temporal dynamics of the array, including the dependence on biasing conditions. Injection locking the oscillations results in well-developed current plateaux. A thermal model explains the relaxation step of the oscillations.