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.
Giulia Tagliabue, Alfredo Angelo Luigi Naef, Ershad Mohammadi, Theodoros Tsoulos
Jürgen Brugger, Roger Hersch, Thomas Walger