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26 April 2024
 
  » arxiv » cond-mat/9709012

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Current-voltage characteristics of diluted Josephson-junction arrays: scaling behavior at current and percolation threshold
Enzo Granato ; Daniel Dominguez ;
Date 1 Sep 1997
Subject Superconductivity | cond-mat.supr-con
AffiliationInstituto Nacional de Pesquisas Espaciais), Daniel Dominguez (Centro Atomico Bariloche
AbstractDynamical simulations and scaling arguments are used to study the current-voltage (IV) 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 $p_c$ is the percolation threshold. For $p$ $>$ $p_c$ and zero temperature, the IV 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 $p_c$ 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 non-linearity appears at currents proportional to $% T^{1+ u_T}$, with a thermal-correlation length exponent $ u_T$ consistent with the corresponding value for the diluted XY model at $p_c$.
Source arXiv, cond-mat/9709012
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