Edge effects in a frustrated Josephson junction array with modulated couplings

Abstract

A square array of Josephson junctions with modulated strength in a magnetic field with half a flux quantum per plaquette is studied by analytic arguments and dynamical simulations. The modulation is such that alternate columns of junctions are of different strength to the rest. Previous work has shown that this system undergoes an XY followed by an Ising-like vortex lattice disordering transition at a lower temperature. We argue that resistance measurements are a possible probe of the vortex lattice disordering transition as the linear resistance $R_L(T)\sim A(T)/L$ with $A(T)\propto (T-T_{cI})$ at intermediate temperatures $T_{cXY}>T>T_{cI}$ due to dissipation at the array edges for a particular geometry and vanishes for other geometries. Extensive dynamical simulations are performed which support the qualitative physical arguments.

8 pages with figs, RevTeX, to appear in Phys. Rev. B

References in corpus (5)

• Two phase transitions in the fully frustrated $XY$ model
• Dynamic Scaling of Magnetic Flux Noise Near the KTB Transition in Overdamped Josephson Junction Arrays
• Critical behavior of Josephson-junction arrays at f=1/2
• Phase diagram of the restricted solid-on-solid model coupled to the Ising model
• Phase transitions in a frustrated XY model with zig-zag couplings

Cited by in corpus (5)

• Multicritical behavior in the fully frustrated XY model and related systems
• Resistivity scaling and critical dynamics of fully frustrated Josephson-junction arrays with on-site dissipation
• Phase-coherence threshold and vortex-glass state in diluted Josephson-junction arrays in a magnetic field
• Two dynamic exponents in the resistive transition of fully frustrated Josephson-junction arrays
• Critical behavior of two-dimensional fully frustrated XY systems