Networks of Josephson junctions and their synchronization

TL;DR

This paper demonstrates that one-dimensional Josephson junction networks with varying resistances can synchronize at specific frequencies related to the applied voltage, with observable sub-harmonic structures, applicable to both cluster arrays and tunneling networks.

Contribution

It establishes the conditions for synchronization in Josephson networks with resistance variations, highlighting the role of charge conservation and Josephson charge transfer.

Findings

Synchronization occurs at multiples of 2eV

Sub-harmonic structures are observable

Results apply to cluster and tunneling networks

Abstract

One can demonstrate that a 1-D Josephson network containing junctions with different resistances can be synchronized at frequencies, which are multiples of 2eV, where V is the total d.c. voltage applied across the network. The appearance of such synchronization follows from the law of charge conservation and takes place if charge transfer is dominated by the Josephson channel. One can observe also a sub-harmonic structure. The result holds for cluster-based arrays as well as for general case of a tunneling network.