Frustrated two-dimensional Josephson junction array near incommensurability

Abstract

To study the properties of frustrated two-dimensional Josephson junction arrays near incommensurability, we examine the current-voltage characteristics of a square proximity-coupled Josephson junction array at a sequence of frustrations f=3/8, 8/21, 0.382 $(\approx (3-\sqrt{5})/2)$, 2/5, and 5/12. Detailed scaling analyses of the current-voltage characteristics reveal approximately universal scaling behaviors for f=3/8, 8/21, 0.382, and 2/5. The approximately universal scaling behaviors and high superconducting transition temperatures indicate that both the nature of the superconducting transition and the vortex configuration near the transition at the high-order rational frustrations f=3/8, 8/21, and 0.382 are similar to those at the nearby simple frustration f=2/5. This finding suggests that the behaviors of Josephson junction arrays in the wide range of frustrations might be understood from those of a few simple rational frustrations.

RevTex4, 4 pages, 4 eps figures, to appear in Phys. Rev. B

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Cited by in corpus (9)

• Resistivity scaling and critical dynamics of fully frustrated Josephson-junction arrays with on-site dissipation
• Phase and vortex correlations in Josephson-junction arrays at irrational frustration
• Resistive transition in frustrated Josephson-junction arrays on a honeycomb lattice
• Zero-temperature resistive transition in Josephson-junction arrays at irrational frustration
• Zero-temperature transition and correlation-length exponent of the frustrated XY model on a honeycomb lattice
• Avoided criticality and slow relaxation in frustrated two dimensional models
• Multidimensional Washboard Ratchet Potentials for Frustrated Two-Dimensional Josephson-Junctions Arrays on square lattices
• Superconducting phase transitions in frustrated Josephson-junction arrays on a dice lattice
• Relaxation dynamics and interrupted coarsening in irrationally frustrated superconducting arrays