Low temperature penetration depth and the effect of quasi-particle scattering measured by millimeter wave transmission in YBaCuO thin films

TL;DR

This study measures the low-temperature penetration depth in YBCO thin films using millimeter wave transmission, revealing effects of quasi-particle scattering and challenging existing d-wave superconductor models.

Contribution

It provides absolute penetration depth values and analyzes the impact of scattering on different YBCO films, highlighting discrepancies with theoretical predictions.

Findings

Zero temperature penetration depth around 200 nm

Frequency dependence observed in pristine film

Different temperature behaviors in irradiated and non-irradiated films

Abstract

Measurement of the penetration depth as a function of temperature using millimeter wave transmission in the range 130-500GHz are reported for three YBCO thin films. The experiment provides the absolute value for the penetration depth at low temperature: the derivation from the transmission data and the experimental uncertainty are discussed. We find a zero temperature penetration depth of 199+/-20nm, 218+/-20nm and 218+/-20nm, for YBCO-50nm/LaAlO3 (pristine), YBCO-130nm/MgO and YBCO-50nm/LaAlO3 (irradiated) respectively. The penetration depth exhibits a different behavior for the three films. In the pristine sample, it shows a clear temperature and frequency dependence, namely the temperature dependence is consistent with a linear variation, whose slope decreases with frequency: this is considered as an evidence for the scattering rate being of the order of the measuring frequency. A two fluids analysis yields 1.7 10^{12} s^{-1}. In the two other samples, the penetration depth does not display any frequency dependence, suggesting a significantly larger scattering rate. The temperature dependence is different in these latter samples. It is consistent with a linear variation for the YBCO/MgO sample, not for the YBCO/LaAlO3 irradiated one, which exhibits a T^2 dependence up to 40K. We have compared our data to the predictions of the d-wave model incorporating resonant scattering and we do not find a satisfactory agreement. However, the large value of the penetration depth at zero Kelvin in the pristine sample is a puzzle and sheds some doubt on a straightforward comparison with the theory of data from thin films, considered as dirty d-wave superconductors.