Dear Shivesh,

> While performing PBE+U calculations on a 2-D material, I wanted to try using 
> NCPPs and then PAW PPs. For the former, I obviously tried QE and for the 
> latter, VASP.


In Quantum ESPRESSO, DFT+U can be used with any type of pseudopotentials (NC 
PPs, US PPs, PAW PPs). So your motivation to switch to VASP because of PAW PPs 
looks strange to me.


However, it is important to note that DFT+U for PAW PPs in QE and VASP is not 
implemented in the same way. There are some technical differences (in QE the 
projections are done on atomic/ortho-atomic orbitals while in VASP on \beta 
projector functions). This aspect will be discussed briefly in the paper which 
we are working on (Timrov, Marzari, Cococcioni).


> The electronic bandstructures look very similar (the parameters are 
> completely the same, except for plane wave cutoffs, as you might imagine) but 
> the band gap is different.


Which parameters are completely the same? Do you refer to a k points sampling, 
smearing, lattice parameter? Or Hubbard U?


> With NCPPs, the Hubbard 'U' seems to suppress the band gap (compared to U=0) 
> whereas for VASP calculation, it seems to increase the band gap (compared to 
> U=0). Is there a qualitative explanation for this?


Which values of U do you use in the two codes? How did you choose them?


Please note that the Hubbard U parameter is not a universal parameter. If you 
compute it from first principles (e.g. using linear response theory, cRPA, or 
other approach), its value depends on many factors (type of the Hubbard 
manifold, pseudopotentials, functional, oxidation state, etc.). So if you use 
the same value of U in two different codes (i.e. different implementations of 
DFT+U), with different PPs, with different Hubbard manifolds, etc., then the 
effect of the Hubbard correction with same U will be different.


The correct procedure is the following: to compute Hubbard parameters from 
first-principles for a given set of computational parameters (Hubbard manifold, 
PPs, functional, etc.), and use it consistently with exactly the same set of 
parameters.  In QE, Hubbard parameters can be computed using the HP code. 
Hubbard U is not global, and hence it is not portable (i.e. you cannot compute 
it in one code with one set of parameters, and then use it in another code with 
another set of parameters; even in the same code you cannot compute with one 
set of parameters and then use it in the same code with another set of 
parameters).


Greetings,

Iurii


--
Dr. Iurii Timrov
Postdoctoral Researcher
STI - IMX - THEOS and NCCR - MARVEL
Swiss Federal Institute of Technology Lausanne (EPFL)
CH-1015 Lausanne, Switzerland
+41 21 69 34 881
http://people.epfl.ch/265334
________________________________
From: users <users-boun...@lists.quantum-espresso.org> on behalf of Shivesh 
Sivakumar <shiveshsivaku...@gmail.com>
Sent: Wednesday, May 6, 2020 12:35:30 AM
To: Quantum ESPRESSO users Forum
Subject: [QE-users] Different implementations of the Hubbard 'U' between QE and 
VASP

Hello all,

While performing PBE+U calculations on a 2-D material, I wanted to try using 
NCPPs and then PAW PPs. For the former, I obviously tried QE and for the 
latter, VASP. The electronic bandstructures look very similar (the parameters 
are completely the same, except for plane wave cutoffs, as you might imagine) 
but the band gap is different.
With NCPPs, the Hubbard 'U' seems to suppress the band gap (compared to U=0) 
whereas for VASP calculation, it seems to increase the band gap (compared to 
U=0). Is there a qualitative explanation for this?

I am very sorry if this question is not totally appropriate for the forum but I 
just want to know if conceptually, there are some differences in implementation 
that I am missing out.

Best,
Shivesh Sivakumar
University of Washington
Seattle, WA-98105
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