It could be just one case of Hartree Fock giving bad results for metallic systems, i.e. Phys. Rev. B 20, 1504 (1979), in particular the steep bands imply a vanishing DOS at the Fermi energy. But I'm not at all an expert of this kind of applications...

cheers

On 21/09/2022 16:54, Lorenzo Sponza wrote:

Hello everybody.

I'm having some troubles in calculating the band structure of bulk Iridium with HSE06. In order to do that, I'm using the 'fake k-points' method, so I extract the band structure from a SCF calculation using an home-made post-processing code which is attached to this email. I run each simulation in a different folder to be sure not to overwrite important files. I'm using the marzari-vanderbilt smearing method with degauss values ranging from 0.011 to 1.0 and regular k-point grids ranging from 2x2x2 to 12x12x12 while the fake k-points list counts 26 k-points in all cases. You can find an example of input file attached to the email. In parallel I have done also some PBE calculations with the standard procedure SCF+BANDS.

In the case of the PBE calculation, I don't observe differences in the band dispersion depending on the degauss value, but the Fermi level moves up for higher values of degauss and the k-point convergence is faster.

What I observe in the case of HSE06 is that the dispersion itself does change depending on the degauss value. Please see the attached graphs. In particular, for quite "standard" values of the degauss (0.02), the band structure presents weird jumps crossing the Fermi level, whereas for high values ( degauss = 0.8 ) the dispersion is smoother across Fermi, converges very quickly with the regular k-point grid and looks somewhat similar to the PBE one. I understand it as a consequence of the fact that hybrids have a certain amount of EXX which act only on occupied states. Since the occupation is not abrupt in metals and is modified by the smearing, then the potential changes in a continuous way as a function of degauss.


Hence my questions:

- In PBE calculations, how can I know what is the right value of the degauss parameter? I saw answers in the forum as if it is a compromise between k-points and smearing amplitude and ideally an infinitely dense grid would give the exact result with no smearing. However this answer does not help me in understanding where is the right Fermi energy because a finer grid does not solve the issue.

- Are hybrid functionals a safe choice for the calculation of the electronic structure and band alignment in metals?

- Is there a rule (rigorous or rule of thumb) to set the degauss value in metals when using hybrid potentials?

- Am I completely wrong, and I'm just making some mistake at the level of scf or of the band extraction? (I have no experience on metals and little on hybrids)

Thanks a lot for your help !


--
Dr. Lorenzo Sponza
Chargé de Recherche au CNRS
Laboratoire d'étude de microstructures (LEM), CNRS-ONERA
29 Avenue de la division Leclerc, 92322 Châtillon
Tel: +33146734464

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