Current-voltage characteristics of diluted Josephson-junction arrays: Scaling behavior at current and percolation threshold

Journal Article · Mon Dec 01 04:00:00 EST 1997 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.56.14671· OSTI ID:550541

Granato, E ^[1]; Dominguez, D ^[2]

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1. Laboratorio Associado de Sensores e Materiais, Instituto Nacional de Pesquisas Espaciais, 12201 Sao Jose dos Campos, Sao Paulo (Brazil)
2. Centro Atomico Bariloche, 8400 San Carlos de Bariloche, Rio Negro (Argentina)

Dynamical simulations and scaling arguments are used to study the current-voltage (I-V) characteristics of a two-dimensional model of resistively shunted Josephson-junction arrays in presence of percolative disorder, at zero external field. Two different limits of the Josephson-coupling concentration p are considered, where p{sub c} is the percolation threshold. For p{gt}p{sub c} and zero temperature, the I-V curves show power-law behavior above a disorder-dependent critical current. The power-law behavior and critical exponents are consistent with a simple scaling analysis. At p{sub c} and finite temperature T, the results show the scaling behavior of a T=0 superconducting transition. The resistance is linear but vanishes for decreasing T with an apparent exponential behavior. Crossover to nonlinearity appears at currents proportional to T{sup 1+{nu}{sub T}}, with a thermal-correlation length exponent {nu}{sub T} consistent with the corresponding value for the diluted XY model at p{sub c}. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 550541
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 22 Vol. 56; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ELECTRIC CONDUCTIVITY
JOSEPHSON EFFECT
JOSEPHSON JUNCTIONS
SCALING LAWS
SIMULATION