Resonator design for surface electron lifetime studies using scanning tunneling spectroscopy

We derive expressions for the lossy boundary-scattering contribution to the linewidth of surface electronic states confined with atomic corrals and island resonators. Correcting experimentally measured linewidths for these contributions along with thermal and intrumental broadening enables intrinsic many-body lifetimes due to electron-electron and electron-phonon scattering to be determined. In small resonators lossy-scattering dominates linewidths whilst different scaling of widths and separations cause levels to merge in large resonators. Our results enable the design of resonators suitable for lifetime studies.