Finally the paper on the orbital Rashba effect in a surface-oxidized Cu has been accepted in the last week. Now you can see the publisehd manuscript in the following link.
The major change during the reviews was calculation of various stacking geometries and comparisions (fcc, hcp, bridge, etc.). At the end, they are not very different: All the structures lead to pronounced orbital Rashba effect. But thanks to this calculation, we are now sure that the orbital Rashba effect would be robust as a Cu film is oxidized from the surface. Additionally, we added Supplementary Material, and all the calculation steps are made transparent.
Anyway, I really hope that the theoretical prediction of the orbital Rashba effect is going to be confirmed soon by angle-resolved photoemission spectroscopy or momentum microscopy.