Penetration depth and conductivity of NbN and DyBa_2Cu_3O_7 thin films measured by mm-wave transmission

Abstract

Using mm-wave transmission we obtain information about both the real and imaginary part of the dielectric function of superconducting thin films. This is done by fitting the Fabry-Perot resonance spectrum for the film plus substrate over a broad frequency range (110-180 GHz) using the full Fresnel equations and a two-fluid description for the dielectric function. Depending on the thickness of the film, the transmission is mainly determined by the real or the imaginary part of the dielectric function. For NbN we find a behavior consistent with the BCS-formalism. For DyBa_2Cu_3O_7, results on films of thicknesses ranging from 20 to 80 nm are presented. We find a quadratic temperature dependence of the penetration depth at low temperatures and a strongly enhanced conductivity below T_c, indicative of a strong reduction of the quasiparticle scattering. For the 20 nm film the transmission is dominated by the real part of the conductivity, even down to 60 K.