[Wien] Hartree-Fock and the Hubbard Model

[delamora]

Luis, look for Hubbard Model

NaCl U2

          Pablo

________________________________
De: Wien <wien-bounces at zeus.theochem.tuwien.ac.at> en nombre de Luis Ogando <lcodacal at gmail.com>
Enviado: lunes, 21 de noviembre de 2016 11:00:23 a. m.
Para: A Mailing list for WIEN2k users
Asunto: Re: [Wien] Hartree-Fock and the Hubbard Model

Dear Prof. Tran,

   I would like to read more about this subject, but, unfortunately, your link gave me a message like : " Wikipedia does not have an article with this exact name. "
   Please, could you suggest another non-specialist reference like wikipedia ?
   Thank you,
               Luis

2016-11-20 13:28 GMT-02:00 <tran at theochem.tuwien.ac.at<mailto:tran at theochem.tuwien.ac.at>>:
Hi,

DFT+U is a cheap but rather rough approximation of HF.
Beside this, there is also the difference that in DFT+U, the Coulomb
operator is attenuated in order to account for the screening due to
correlation. In HF, no correlation is included.
In hybrids, the screening is included by using only ~25% of HF exchange
(and there is also correlation coming from a LDA/GGA correlation term).

Hybrid, onsite-hybrid and DFT+U are more or less the same,
since all of them are one-electron methods and mix HF with LDA/GGA.
As Karel said, they are better than LDA/GGA, but can not reproduce
the experimental observations that are beyond the one-electron methods.
DMFT is better since it is a beyond one-electrons method.

Read that:
https://en.wikipedia.org/wiki/LDA+U

FT


On Wed, 16 Nov 2016, delamora wrote:


Dear Fabien Tran and Karel Vyborny,

Thanks for your comments.


What I want to know is if the Hartree Fock exchange is what the Hubbard U is
trying to model

What I know is that for strong intraatomic repulsion, 3d and 4f, the Hubbard
U gives good results, although the U is a parameter.

But for intermediate intraatomic repulsion, 4d, 5d, 5f then more expensive
methods are needed, such as DMFT

So, if this is the case that the Hartree Fock exchange is what the Hubbard U
is trying to model then the hybrid functionals would do a better job.

So, my question is; What are the Hubbard U and DMFT trying to model?


Cheers

          Pablo de la Mora

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