Magnetoinductance of Josephson junction array with frozen vortex diffusion

TL;DR

This paper investigates how the sheet impedance of a Josephson junction array depends on magnetic field at low temperatures, revealing a specific proportionality involving the field and flux quanta.

Contribution

It introduces a theoretical analysis of the magnetic field dependence of sheet impedance in a Josephson junction array with frozen vortex diffusion.

Findings

Sheet inductance contribution is proportional to f*ln(1/f) for small f.

Vortex diffusion is effectively frozen at low temperatures.

The study provides a quantitative relation between magnetic field and impedance.

Abstract

The dependence of sheet impedance of a Josephson junction array on the applied magnetic field is investigated in the regime when vortex diffusion between array plaquettes is effectively frozen due to low enough temperature. The field dependent contribution to sheet inductance is found to be proportional to f*ln(1/f), where f<<1 is the magnitude of the field expressed in terms of flux quanta per plaquette.