Measurement of the Surface Inductance and Penetration Depth of Superconducting Aluminum

Abstract
The inductance of a pure-aluminum wire was measured as a function of temperature in the superconducting state at a frequency of 10 MHz. The temperature dependence of the penetration depth calculated from these measurements does not agree with that predicted by the BCS theory for aluminum, an extreme nonlocal superconductor. It is shown that the present measurements agree with previous results at higher frequencies and have a temperature dependence very close to the BCS local theory. It is concluded that there is no rigorous way of obtaining an absolute value of the penetration depth from this or previous measurements of the temperature dependence of the inductance (or the penetration depth).

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