Phase and vortex correlations in Josephson-junction arrays at irrational frustration

Abstract

Phase coherence and vortex order in a Josephson-junction array at irrational frustration are studied by extensive Monte Carlo simulations using the parallel tempering method. A scaling analysis of the correlation length of phase variables in the full equilibrated system shows that the critical temperature vanishes with a power-law divergent correlation length and critical exponent ${\nu }_{ph}$, in agreement with recent results from resistivity scaling analysis. A similar scaling analysis for vortex variables reveals a different critical exponent ${\nu }_v$, suggesting that there are two distinct correlation lengths associated with a decoupled zero-temperature phase transition.

4 pages, 4 figures, to appear in Phys. Rev. Lett

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Cited by in corpus (8)

• Chirality scenario of the spin-glass ordering
• Thermal fluctuations and phase diagrams of the phase field crystal model with pinning
• Vortex jamming in superconductors and granular rheology
• Resistive transition in frustrated Josephson-junction arrays on a honeycomb lattice
• Zero-temperature transition and correlation-length exponent of the frustrated XY model on a honeycomb lattice
• Critical behavior of dynamic vortex Mott transition in superconducting arrays at fractional vortex densities
• Vortex solid phase with frozen undulations in superconducting Josephson-junction arrays in external magnetic fields
• Transition by Breaking of Analyticity in the Ground State of Josephson Junction Arrays as a Static Signature of the Vortex Jamming Transition