Impedance mismatch: a new length scale in the electrodynamics of a superconductor–metal system

A superconductor has a complex penetration depth ( λ̃) whose real and imaginary parts have magnitudes that are generally not equal, in contrast to that of a normal conductor in the local limit. We show that there is a length scale δ 0= 2 | λ̃| whose ratio with the skin depth of the metal ( δ) determ...

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Bibliographic Details
Published in:Physica. C, Superconductivity Superconductivity, 2000-05, Vol.333 (1), p.65-71, Article 65
Main Author: Beeli, Pieder
Format: Article
Language:English
Subjects:
Bilayer
Impedance mismatch
Length scale
Superconducting film
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Summary:A superconductor has a complex penetration depth ( λ̃) whose real and imaginary parts have magnitudes that are generally not equal, in contrast to that of a normal conductor in the local limit. We show that there is a length scale δ 0= 2 | λ̃| whose ratio with the skin depth of the metal ( δ) determines the impedance mismatch between a superconductor and a metal. To illustrate the significance of this length scale, we consider a superconducting film atop a bulk metal and show that when δ is increased, (i) the total power dissipation can change by over two orders of magnitude, (ii) there is a peak in the total power dissipation near δ= δ 0, (iii) the power dissipation in the superconducting thin film increases monotonically and (iv) the power dissipation in the metal has a peak near δ= δ 0.
ISSN:0921-4534
1873-2143
DOI:10.1016/S0921-4534(00)00034-4