Comment on "Thermal propagation in two-dimensional Josephson junction arrays"

TL;DR

This paper critiques a previous study on flux quantum propagation in 2D Josephson junction arrays, demonstrating that an approximation used in the original work is invalid for calculating energy barriers with full inductance effects.

Contribution

It provides a full inductance matrix analysis showing the limitations of the approximate model used in prior research.

Findings

The approximate inductance model is inadequate for energy barrier calculations.

Full inductance matrix analysis reveals significant differences from the approximate model.

The comparison method used in the original paper is critically evaluated.

Abstract

In a recent paper, Filatrella et al. [Phys. Rev. B 75, 54510 (2007)] report results of numerical calculations of energy barriers for flux quanta propagation in two-dimensional arrays of Josephson junctions with finite self and mutual inductances. To avoid complex numerical calculations, they use an approximated inductance model to address the effects of the mutual couplings. Using a full inductance matrix model, we show that this approximated model cannot be used to calculate the energy barrier of interacting vortices. The authors' method of comparison between numerical data and theoretical predictions is also discussed.