I want to obtain reasonably accurate ionization energy (or work function in other terms) for a 2-dimensional hBN monolayer. The exact material does not matter much respective to the question, the point is it being a 2D periodic material.
Method:
The GW model, in general, gives a pretty accurate ionization potential. For an isolated molecule, the ADF code (in the SCM - AMS package, link) works well (I've tested it for isolated h-passivated hBN nanoparticles); However, the code does not implement GW for periodic systems, so I am trying to use Yambo.
Doubt:
If I were to obtain the ionization potential (or work function) from a Quantum Espresso DFT calculation, I would have to calculate the vacuum energy from the average potential far away from the slab/monolayer, and subtract this from the HOMO energy (or the Fermi level). On the other hand, the SCM documentation (specifically, their G0W0 tutorial) states that the resulting HOMO energy from a G0W0 calculation is already the negative of the ionization potential:
Ip = - HOMO_G0W0
However, they give no reference to this statement, and I couldn't find anything useful from an online research.
The various GW tutorials of Yambo (e.g. this one on bulk hBN) on G0W0 only use the GW energies to obtain the band gap value. This is a relative energy between two bands, so tells me nothing about if the absolute values are WRT vacuum.
Question(s):
- Is it a fundamental property of G0W0 that $E_{GW}^{HOMO} = -I_p$?
- If no, is it at least true for Yambo?
- If no, how should I get the corresponding vacuum energy for the Yambo result? Is the vacuum energy obtained from the DFT result unchanged for the GW result, or should I use some other method to calculate it?