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

Authors
Journal
Physica C Superconductivity
0921-4534
Publisher
Elsevier
Publication Date
Volume
333
Identifiers
DOI: 10.1016/s0921-4534(00)00034-4
Keywords
  • Impedance Mismatch
  • Superconducting Film
  • Length Scale
  • Bilayer
Disciplines
  • Physics

Abstract

Abstract 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.

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