Intrinsic mechanism of phase locking in two-dimensional Josephson junction networks in presence of an external magnetic field

TL;DR

This paper investigates how two mechanisms—external load feedback and internal microwave coupling—induce phase locking in two-dimensional Josephson junction arrays under magnetic fields, through numerical simulations.

Contribution

It identifies the parameter conditions under which mutual phase locking occurs due to the interplay of external and internal coupling mechanisms.

Findings

External magnetic field influences phase locking mechanisms.

Parameter ranges for phase locking are determined.

Unshunted arrays behavior is also analyzed.

Abstract

We present numerical simulations of the dynamics of two-dimensional Josephson junction arrays to study the mechanism of mutual phase locking. We show that in the presence of an external magnetic field two mechanisms are playing a role in phase locking: feedback through the external load and internal coupling between rows due to microwave currents induced by the field. We have found the parameter values (junction capacitance, cell loop inductance, impedance of the external load) for which the interplay of both these mechanisms leads to the in-phase solution. The case of unshunted arrays is discussed as well.