Transition Temperature of Josephson Junction Arrays with Long-Range Interaction

TL;DR

This study investigates how the transition temperature of Josephson junction arrays with long-range interactions depends on magnetic field and array size, confirming mean-field theory predictions and revealing strong commensurability effects.

Contribution

It provides experimental validation of mean-field theory for long-range interacting Josephson arrays and highlights size-dependent transition temperature behavior.

Findings

Transition temperature scales with array size.

Strong commensurability effects observed.

Data agrees with mean-field predictions.

Abstract

We report measurements of the dependence on magnetic field and array size of the resistive transition of Josephson junction arrays with long-range interaction. Because every wire in these arrays has a large number of nearest-neighbors (9 or 18 in our case), a mean-field theory should provide an excellent description of this system. Our data agree well with this mean-field calculation, which predicts that Tc (the temperature below which the array exhibits macroscopic phase coherence) shows very strong commensurability effects and scales with array size.