We numerically and experimentally investigate the phononic loss for superconducting resonators fabricated on a piezoelectric substrate. With the help of finite element method simulations, we calculate the energy loss due to electromechanical conversion into bulk and surface acoustic waves. This sets an upper limit for the resonator internal quality factor Qi. To validate the simulation, we fabricate quarter wavelength coplanar waveguide resonators on GaAs and measure Qi as function of frequency, power and temperature. We observe a linear increase of Qi with frequency, as predicted by the simulations for a constant electromechanical coupling. Additionally, Qi shows a weak power dependence and a negligible temperature dependence around 10mK, excluding two level systems and non-equilibrium quasiparticles as the main source of losses at that temperature.
@article{arxiv.1912.09119,
title = {Phononic loss in superconducting resonators on piezoelectric substrates},
author = {Marco Scigliuzzo and Laure E. Bruhat and Andreas Bengtsson and Jonathan J. Burnett and Anita Fadavi Roudsari and Per Delsing},
journal= {arXiv preprint arXiv:1912.09119},
year = {2020}
}