On 11/28/2016 06:04 PM, Abderrahmane Reggad wrote:
> Sorry for my question 

No worries!  Asking and answering questions is the purpose of this
forum, after all.

> Wen we use the maximum values for the Rmt such a way the spheres become
> touched. Does that guarantee that the 3d electrons are all inside atomic
> spheres?

To answer the implied question as well: Yes, this means that the U /
EECE potentials are applied only to “a part of” the states you specify
(or, as Martin wrote: “between the atomic spheres the potentials … are
set to zero”).  You can view this as a deficiency of the method, but it
is standard practice and normally quite good enough.

Think about how the target states are defined: as the d states (for
example) of some atom, i.e., as the projection of the Kohn-Sham states
onto the d manifold around that atom.  But to even define this
projection, you need to specify a sphere around the atom.  In an APW
code, the muffin-tin sphere is the natural choice.

To go beyond this approach and make sure that you cover the “whole” d
states, you would need to provide an alternative definition of those
states.  One possibility would be Wannier functions, but it would not
(normally) make sense to do a Wannier projection during each DFT
iteration “only” for DFT+U.


Elias Assmann

Wien2Wannier: maximally localized Wannier functions
              from linearized augmented plane waves


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