Nonlinear AC resistivity in s-wave and d-wave disordered granular superconductors

Details Nonlinear AC resistivity in s-wave and d-wave disordered granular superconductors Nonlinear AC resistivity in s-wave and d-wave disordered granular superconductors

2002-05-23

arxiv.org/abs/cond-mat/0205475v1

Phys. Rev. Lett. 88, 257004 (2002)

Physics

Condensed Matter

Superconductivity

4 pages, 5 figures, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.88.257004

We model s-wave and d-wave disordered granular superconductors with a three-dimensional lattice of randomly distributed Josephson junctions with finite self-inductance. The nonlinear ac resistivity of these systems was calculated using Langevin dynamical equations. The current amplitude dependence of the nonlinear resistivity at the peak position is found to be a power law characterized by exponent $\alpha$. The later is not universal but depends on the self-inductance and current regimes. In the weak current regime $\alpha$ is independent of the self-inductance and equal to 0.5 or both of s- and d-wave materials. In the strong current regime this exponent depends on the screening. We find $\alpha \approx 1$ for some interval of inductance which agrees with the experimental finding for d-wave ceramic superconductors.

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