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

M. Benakli·E. Granato·S. R. Shenoy·M. Gabay
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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.

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M. Benakli, E. Granato, S. R. Shenoy, M. Gabay. 1998-02-03. Diluted Josephson-junction arrays in a magnetic field: phase coherence and vortex glass thresholds. https://doi.org/10.1103/physrevb.57.10314

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