Diluted Josephson-junction arrays in a magnetic field: phase coherence and vortex glass thresholds

Abstract

The effects of random dilution of junctions on a two-dimensional Josephson-junction array in a magnetic field are considered. For rational values of the average flux quantum per plaquette $f$, the superconducting transition temperature vanishes, for increasing dilution, at a critical value $x_S(f)$, while the vortex ordering remains stable up to $x_{VL}>x_S$, much below the value $x_p$ corresponding to the geometric percolation threshold. For $x_{VL}<x<x_p$, the array behaves as a zero-temperature vortex-glass. Numerical results for $f=1/2$ from defect energy calculations are presented which are consistent with this scenario.

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

References in corpus (2)

• The Lower Critical Dimension of the XY Spin Glass
• Current-voltage characteristics of diluted Josephson-junction arrays: scaling behavior at current and percolation threshold

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• Nonlinear response scaling of the two-dimensional XY spin glass in the Coulomb-gas representation
• Percolating granular superconductors
• Disorder-induced superconductor to insulator transition and finite phase stiffness in two-dimensional phase-glass models