Phase and Vortex Correlations in Superconducting Josephson-Junction Arrays at Irrational Magnetic Frustration

Enzo Granato

doi:10.1103/PhysRevLett.101.027004

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Phase and Vortex Correlations in Superconducting Josephson-Junction Arrays at Irrational Magnetic Frustration

Enzo Granato

DOI 10.1103/PhysRevLett.101.027004 · Physical Review Letters

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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 νph, in agreement with recent results from resistivity scaling analysis. A similar scaling analysis for vortex variables reveals a different critical exponent νv, suggesting that there are two distinct correlation lengths associated with a decoupled zero-temperature phase transition.