Ambegaokar-Baratoff–Ginzburg-Landau crossover effects on the critical current density of granular superconductors
John R. Clem, B. Bumble, S. I. Raider, W. J. Gallagher, Y. C. Shih
DOI 10.1103/PhysRevB.35.6637 · Physical Review B
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Abstract
The critical current density of a granular superconductor, modeled as an array of Josephson-coupled grains, is calculated using a Ginzburg-Landau approach that accounts for suppression of the superconducting gap parameter in the grains by supercurrent. For a wide range of experimental parameters, the critical current density versus temperature is found to have an Ambegaokar-Baratoff dependence at low temperatures but to exhibit a crossover to a Ginzburg-Landau (1-T/Tc)3/2 dependence near Tc, the crossover occurring at the temperature for which the Josephson coupling energy of a junction is approximately equal to the superconducting condensation energy of a grain. Experimental results displaying this behavior are reported for a NbN film.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| NbN Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | 11.9 | Pressure not reported | unknown |
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