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 xs, below the percolation concentration of diluted junctions xp, where the superconducting transition vanishes. For xs < x < xp 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.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.