Phase-coherence threshold and vortex-glass state in diluted Josephson-junction arrays in a magnetic field

Abstract

We study numerically the interplay of phase coherence and vortex-glass state in two-dimensional Josephson-junction arrays with average rational values of flux quantum per plaquette $f$ and random dilution of junctions. For $f=1/2$, we find evidence of a phase coherence threshold value $x_s$, below the percolation concentration of diluted junctions $x_p$, where the superconducting transition vanishes. For $x_s<x<x_p$ the array behaves as a zero-temperature vortex glass with nonzero linear resistance at finite temperatures. The zero-temperature critical currents are insensitive to variations in $f$ in the vortex glass region while they are strongly $f$ dependent in the phase coherent region.

6 pages, 4 figures, to appear in Phys. Rev. B

References in corpus (3)

• Simulation Studies on the Stability of the Vortex-Glass Order
• Positional Disorder (Random Gaussian Phase Shifts) in the Fully Frustrated Josephson Junction Array (2D XY Model)
• Nonlinear response scaling of the two-dimensional XY spin glass in the Coulomb-gas representation

Cited by in corpus (6)

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• Phase transition in site-diluted Josephson junction arrays: A numerical study
• Resistive transition in $\pi$-junction superconductors
• Frustrated two-dimensional Josephson junction array near incommensurability
• Magnetic flux disorder and superconductor-insulator transition in nanohole thin films
• Two dynamic exponents in the resistive transition of fully frustrated Josephson-junction arrays