Using Gorkov's extension of the Ginzburg-Landau equations, we derive a formula for determining the impurity scattering time for a metal in the normal state in terms of the critical current density and transition temperature of the metal in the superconducting state. When we apply this formula to aluminum weak-link data, we find that the impurity scattering time varies by three orders of magnitude in going from clean to granular aluminum films. This corresponds quite well to impurity scattering times obtained directly from resistivity measurements of the films using the classical Drude-model formula.
ASJC Scopus subject areas
- Condensed Matter Physics