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Nonlinear ac resistivity in s-wave and d-wave disordered granular superconductors
Mai Suan Li1, Hoang Zung, D Domínguez
1Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, 02-668 Warsaw, Poland.
Physical Review Letters
|July 5, 2002
Summary
Disordered granular superconductors exhibit nonlinear ac resistivity dependent on current. The power-law exponent varies with self-inductance and current, aligning with experimental observations in different regimes.
Area of Science:
- Condensed Matter Physics
- Superconductivity
- Materials Science
Background:
- Disordered granular superconductors feature Josephson junctions influencing electrical properties.
- Understanding nonlinear AC resistivity is crucial for superconductor applications.
Purpose of the Study:
- To model and analyze the nonlinear AC resistivity of s-wave and d-wave disordered granular superconductors.
- To investigate the current amplitude dependence of resistivity and its relationship with material properties.
Main Methods:
- Utilized a three-dimensional lattice model of Josephson junctions.
- Employed Langevin dynamical equations to calculate nonlinear AC resistivity (rho(2)).
- Analyzed the power-law dependence of resistivity on current amplitude.
Main Results:
- The resistivity exponent (alpha) is not universal and depends on self-inductance and current.
- In the weak current regime, alpha is approximately 0.5 +/- 0.1, independent of self-inductance.
- In the strong current regime, alpha approaches 1 for specific inductance values, matching experimental data.
Conclusions:
- The study provides a theoretical framework for understanding nonlinear AC resistivity in granular superconductors.
- The findings highlight the influence of self-inductance and current on superconducting properties.
- Results offer insights for designing and optimizing superconducting materials and devices.