Dear QE users,
I deal with band gap calculations for dielectrics (currently with monoclinic 
ZrO2).
The Eg value, obtained as the difference between ionization potential and 
electron affinity (I-A), is depends on the supercell size as a decreasing (like 
hyperbole) function. The Eg, obtained as the Kohn-Sham single particle states 
difference, doesn’t depend on the supercell size. In the Phys. Rev. B 78, 
235104 in the “III. CORRECTION OF BAND-GAP ERRORS”, Fig.2 the similar 
dependence was obtained for isolated F atoms, whereas dependence is quite 
different for the solid (ZnO). And that's what I cannot understand.
At the forum, I found the view that «I-A is more physical and relevant to 
comparison with experimental band gaps».
I am using QE version 5.3, local XC functional blyp. Charged supercell calc 
with nspin = 2, starting_magnetization=1, occupations =smearing, smearing = mp.
I understand that dependence on the supercell size is due to compensating 
charge background. The Makov-Payne correction for a charged cell is not 
applicable because I used monoclinic system. I tried to use the 
Martyna-Tuckerman correction, but, firstly, the Eg value is much higher than 
experimental one; secondly, the dependence on the supercell size retains.

And another important question. Is it correct (possible) to calc Eg as I-A 
using hybrid functional?

Sincerely,
Perevalov Timofey

Rzhanov Institute of Semiconductor Physics
[email protected]


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