[Wien] A suggestion about the hybrid functional

Tran, Fabien fabien.tran at tuwien.ac.at
Fri Apr 10 17:48:12 CEST 2020


https://onlinelibrary.wiley.com/doi/abs/10.1002/pssb.200541371

https://journals.aps.org/prb/abstract/10.1103/PhysRevB.74.155108

https://journals.aps.org/prb/abstract/10.1103/PhysRevB.80.235109​

https://journals.aps.org/prb/abstract/10.1103/PhysRevB.83.235118


________________________________
From: Wien <wien-bounces at zeus.theochem.tuwien.ac.at> on behalf of Abderrahmane Reggad <abde.reggad at gmail.com>
Sent: Friday, April 10, 2020 5:38 PM
To: A Mailing list for WIEN2k users
Subject: Re: [Wien] A suggestion about the hybrid functional

If EECE is not onsite hybrid functional then hybrid means hybridization between exchange and correlation energy for localized states and doesn't mean hybridization between Hartree-Fock and DFT energies for localized states.

More question: What's the difference between the full hybrid and onsite hybrid functionals ? and how in which one do you classify the exact exchange functional?

Reference: http://susi.theochem.tuwien.ac.at/onlineworkshop/FT-XC-effects.pdf



On Fri, 10 Apr 2020 at 16:27, Peter Blaha <pblaha at theochem.tuwien.ac.at<mailto:pblaha at theochem.tuwien.ac.at>> wrote:
No.

As Fabien explained:

EECE is : exact exchange for correlated electrons; i.e. it is 100% HFx +
DFT-correlation (inside the spheres and for one l only).

onsite-HYBR: is hybrid DFT, like your second equation, but again only
inside the sphere and for one l only.

"full hybrids" is full-blown (for all states, in the whole unitcell)
Hybrid-DFT with alpha according your input and DFT-correlation according
your choice (case.in0).

Am 10.04.2020 um 16:14 schrieb Abderrahmane Reggad:
> EECE is  onsite hybrid or not ?
>
> Your meaning for hybrid (HYBR ) is to be applied inside LAPW spheres and
> is different from I know
>
> What about these 2 equations
>
> Exc (EECE) =EDFTxc+α(EHFx−EDFTxc)
> Exc(HYBR) =EDFTxc+α(EHFx−EDFTx)
>
>
>
> On Fri, 10 Apr 2020 at 16:04, Abderrahmane Reggad <abde.reggad at gmail.com<mailto:abde.reggad at gmail.com>
> <mailto:abde.reggad at gmail.com<mailto:abde.reggad at gmail.com>>> wrote:
>
>     EECE is  onsite hybrid or not ?
>
>     Your meaning for hybrid (HYBR ) is to be applied inside LAPW spheres
>     and is different from I know
>
>     What about these 2 equations in the joined picture:
>
>
>
>
>
>     On Fri, 10 Apr 2020 at 15:25, Tran, Fabien <fabien.tran at tuwien.ac.at<mailto:fabien.tran at tuwien.ac.at>
>     <mailto:fabien.tran at tuwien.ac.at<mailto:fabien.tran at tuwien.ac.at>>> wrote:
>
>         "onsite hybrid" means hybrid applied only inside chosen LAPW
>         spheres (this is HYBR).
>
>         EECE is also onsite, but 100% Hartree-Fock inside chosen LAPW
>         spheres​: onsite-HF.
>
>
>         ------------------------------------------------------------------------
>         *From:* Wien <wien-bounces at zeus.theochem.tuwien.ac.at<mailto:wien-bounces at zeus.theochem.tuwien.ac.at>
>         <mailto:wien-bounces at zeus.theochem.tuwien.ac.at<mailto:wien-bounces at zeus.theochem.tuwien.ac.at>>> on behalf of
>         Abderrahmane Reggad <abde.reggad at gmail.com<mailto:abde.reggad at gmail.com>
>         <mailto:abde.reggad at gmail.com<mailto:abde.reggad at gmail.com>>>
>         *Sent:* Friday, April 10, 2020 3:03 PM
>         *To:* A Mailing list for WIEN2k users
>         *Subject:* Re: [Wien] A suggestion about the hybrid functional
>         Hi
>
>         What do you mean by onsite hybrid functional ? and how to
>         classify EECE and HYBR methods ?
>         http://susi.theochem.tuwien.ac.at/onlineworkshop/FT-XC-effects.pdf
>
>         and what do you mean by HYBR ?
>
>         On Fri, 10 Apr 2020 at 14:05, Tran, Fabien
>         <fabien.tran at tuwien.ac.at<mailto:fabien.tran at tuwien.ac.at> <mailto:fabien.tran at tuwien.ac.at<mailto:fabien.tran at tuwien.ac.at>>> wrote:
>
>             Hi,
>
>             The meaning of hybrid is always for hyb​ridization between
>             the Hartree-Fock and DFT exchanges. I don't think that
>             hybrid has been used for hybridization between exchange and
>             correlation. At least not in the WIEN2k user's guide.
>
>             FT
>
>
>             ------------------------------------------------------------------------
>             *From:* Wien <wien-bounces at zeus.theochem.tuwien.ac.at<mailto:wien-bounces at zeus.theochem.tuwien.ac.at>
>             <mailto:wien-bounces at zeus.theochem.tuwien.ac.at<mailto:wien-bounces at zeus.theochem.tuwien.ac.at>>> on behalf
>             of Abderrahmane Reggad <abde.reggad at gmail.com<mailto:abde.reggad at gmail.com>
>             <mailto:abde.reggad at gmail.com<mailto:abde.reggad at gmail.com>>>
>             *Sent:* Friday, April 10, 2020 1:38 PM
>             *To:* A Mailing list for WIEN2k users
>             *Subject:* [Wien] A suggestion about the hybrid functional
>             To wien2k developpers
>
>             In hybrid functionals introduced by Axel Becke and
>             implemented within wien2k code, the term hybrid has two
>             different meanings and it makes confusion.
>             The first meaning is that hybridization is between
>             Hartree-Fock and DFT theories to express the
>             exchange-correlation energy. The second meaning is related
>             to the onsite hybrid functionals. In this latter case, the
>             hybridization is between the exchange and correlation. The
>             EECE is an onsite hybrid with only exact exchange for
>             selected states weheras the onsite hybrid HYBR which is an
>             hybrid functional with the two meanings of hybridizations.
>
>             My suggestion is to rename the the onsite hybrid functionals
>             as follows:
>
>             - Using the hybridization term only to express the
>             hybridization between the Hartree-Fock and DFT theories and
>             using the proposed term ( mixing ) to express mixing between
>             between exchange and correlations interactions.
>
>             - EECE for exact exchange
>             - MIX for HYBR choice
>
>             I have always worked with the onsite hybrid functionals and
>             I have propose a similar notation that you will fing in the
>             following link:
>
>             https://www.sciencedirect.com/science/article/abs/pii/S0921452617303915
>
>             Best regards
>
>             --
>             Dr. Abderrahmane Reggad
>             Engineering Physics Laboratory
>             Faculty of Material Sciences, Ibn Khaldoun University,
>             Tiaret, 14000, Algeria
>             Tel: +213(0)561861963 - Algeria
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>
>
>
>         --
>         Dr. Abderrahmane Reggad
>         Engineering Physics Laboratory
>         Faculty of Material Sciences, Ibn Khaldoun University, Tiaret,
>         14000, Algeria
>         Tel: +213(0)561861963 - Algeria
>         _______________________________________________
>         Wien mailing list
>         Wien at zeus.theochem.tuwien.ac.at<mailto:Wien at zeus.theochem.tuwien.ac.at>
>         <mailto:Wien at zeus.theochem.tuwien.ac.at<mailto:Wien at zeus.theochem.tuwien.ac.at>>
>         http://zeus.theochem.tuwien.ac.at/mailman/listinfo/wien
>         SEARCH the MAILING-LIST at:
>         http://www.mail-archive.com/wien@zeus.theochem.tuwien.ac.at/index.html
>
>
>
>     --
>     Dr. Abderrahmane Reggad
>     Engineering Physics Laboratory
>     Faculty of Material Sciences, Ibn Khaldoun University, Tiaret,
>     14000, Algeria
>     Tel: +213(0)561861963 - Algeria
>
>
>
> --
> Dr. Abderrahmane Reggad
> Engineering Physics Laboratory
> Faculty of Material Sciences, Ibn Khaldoun University, Tiaret, 14000,
> Algeria
> Tel: +213(0)561861963 - Algeria
>
> _______________________________________________
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--
--------------------------------------------------------------------------
Peter BLAHA, Inst.f. Materials Chemistry, TU Vienna, A-1060 Vienna
Phone: +43-1-58801-165300             FAX: +43-1-58801-165982
Email: blaha at theochem.tuwien.ac.at<mailto:blaha at theochem.tuwien.ac.at>    WIEN2k: http://www.wien2k.at
WWW:
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--
Dr. Abderrahmane Reggad
Engineering Physics Laboratory
Faculty of Material Sciences, Ibn Khaldoun University, Tiaret, 14000, Algeria
Tel: +213(0)561861963 - Algeria
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