I'm still going through the article, but it's fascinating and definitely worth sharing. Here is a slightly de-nerded version.
I only glanced through it, but what I most surprised by was how lengthy of an article it is for Nature. But yeah, multi-amplitude and multi-phase, EXTREMELY driven oscillations in the quantum regime, applying the vacuum/air-to-gold-to-silicon-to-gold boundary conditions? Blegh. I'll stick to space. Here is an already de-nerded article I glanced at the other day. Almost posted it here, but got busy.
Source: Topological states on the gold surface Call it a hunch, but I think that despite its nature the problem can potentially be simplified through topological/bulk approach. Though, I won't deny that it's somewhat 'blegh' regardless of the change in regime. ;)Crucially, for intermediate state energies >3.0 eV the dispersion of the SSs (Surface States) in our data changes again and the SSs disperse faster to larger momentum values with increasing energy above EF (Fermi Energy). To our knowledge, such a strong deviation from the free-electron-like behaviour was not observed yet for SSs on fcc(111) noble metal surfaces. This observation can be explained by assuming that the SSs disperse into the bulk bands for intermediate state energies >3.0 eV to connect the valence and conduction bands.