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

Mourad Benakli, Enzo Granato, Subodh R. Shenoy, Marc Gabay

DOI 10.1103/PhysRevB.57.10314 · Physical Review B

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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 xS(f), while the vortex ordering remains stable up to xVL>xS, far below the value xp corresponding to the geometric percolation threshold. For xVL<x<xp, the array behaves as a zero-temperature vortex glass. Numerical results for f=1/2 from defect energy calculations are presented and are consistent with this scenario.

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