Critical Behavior of Frustrated Josephson Junction Arrays with Bond Disorder

Abstract

The scaling behavior of the current-voltage ($IV$) characteristics of a two-dimensional proximity-coupled Josephson junction array (JJA) with quenched bond disorder was investigated for frustrations $f=1/5$, 1/3, 2/5, and 1/2. For all these frustrations including 1/5 and 2/5 where a strongly first-order phase transition is expected in the absence of disorder, the $IV$ characteristics exhibited a good scaling behavior. The critical exponent $\nu$ indicates that bond disorder may drive the phase transitions of frustrated JJA's to be continuous but not into the Ising universality class, contrary to what was observed in Monte Carlo simulations. The dynamic critical exponent $z$ for JJA's was found to be only 0.60 - 0.77.

arXiv commentRevTeX4, 4 pages, 4 figures, the manuscript is replaced with the published version

References in corpus (11)

• Two phase transitions in the fully frustrated $XY$ model
• Dynamic Approach to the Fully Frustrated XY Model
• Chiral exponents of the square-lattice frustrated XY model: a Monte Carlo transfer-matrix calculation
• Is there a vortex-glass transition in high-temperature superconductors?
• Nature of Phase Transitions of Superconducting Wire Networks in a Magnetic Field
• The Unusual Universality of Branching Interfaces in Random Media
• Comment on "Two Phase Transitions in the Fully frustrated XY Model"
• Finite-Size Effects and Dynamical Scaling in Two-Dimensional Josephson Junction Arrays
• Incommensurability in the Frustrated Two-Dimensional XY Model
• Domain Walls and Phase Transitions in the Frustrated Two-Dimensional XY Model
• Domain Walls Motion and Resistivity in a Fully-Frustrated Josephson Array

Cited by in corpus (10)

• Resistivity scaling and critical dynamics of fully frustrated Josephson-junction arrays with on-site dissipation
• Phase Transition and Critical Dynamics in Diluted Josephson Junction Arrays
• Phase transition in site-diluted Josephson junction arrays: A numerical study
• Experimental Study of Positionally Disordered Josephson Junctions Arrays
• Superconducting transition of a two-dimensional Josephson junction array in weak magnetic fields
• Frustrated two-dimensional Josephson junction array near incommensurability
• Macroscopic Phase Coherence of Defective Vortex Lattices in Two Dimensions
• Collective pinning of the vortex lattice by columnar defects in layered superconductors
• Superconducting phase transitions in frustrated Josephson-junction arrays on a dice lattice
• Defective Vortex Lattices in Layered Superconductors with Both Point and Correlated Pins