Interested

https://en.wikipedia.org/wiki/HOMO/LUMO

You mentioned all the solids in your list.

For them LUMO is equivalent to the conduction band, HOMO is equivalent to the valence band, and their position with respect to the vacuum level is determined by the Fermi level (which in turn is determined by the doping). You can read some further discussion here https://www.researchgate.net/post/How_do_the_Fermi_level_work_function_HOMO_and_LUMO_change_with_doping

Ref- http://iopscience.iop.org/article/10.1088/0953-8984/27/13/134201/pdf