Dear Akmal,

Lorenzo is right: forces and stresses with LDA+U on orthogonalized wave 
functions require an extra (non trivial) implementation in the code to compute 
the derivative of the overlap matrix (between atomic wfc’s of different atoms) 
with respect to atomic positions and strains, and incorporates it in the 
expression of the corresponding derivative of the (orthogonalized) atomic wfc.

Of course you can do a structural relaxation with ‘atomic’ wave functions and 
total energy calculations on the resulting structure with ‘oath-atomic’. This 
is of course not strictly consistent. However, for the states for which the use 
of Hubbard correction is most justified (the localized d or f states), due to 
their localized nature, the overlap matrix should be small, and there should 
not be very large difference between the two approaches. So the contributions 
to forces and stress coming from the overlap matrix should be relatively small.

This is of course not a general rule but something that needs to be checked 
case by case. For example you could compute some of the forces on Hubbard atoms 
by a finite difference approach with ortho-atomic and compare them with those 
the code computes with ‘atomic” projections.

Hope this helps,

Matteo



On Nov 13, 2017, at 10:45 AM, Akmal Khan 
<[email protected]<mailto:[email protected]>> wrote:

Thank You..
Is it necessary to use this parameter during relaxation..What if this is used 
later in scf calculation when forces and stress are already implented during 
relaxation..?



On Mon, Nov 13, 2017 at 2:03 PM, Lorenzo Paulatto 
<[email protected]<mailto:[email protected]>> wrote:
Dear Akmal, you have three alternatives :

1. Implement them yourself
2. Offer a sufficient incentive for someone else to implement them for you
3. Pay a student or postdoc to implement them for you (result may vary)

Kind regards

--
Lorenzo Paulatto
Written on a virtual keyboard with real fingers


On 13 Nov 2017 9:56 a.m., "Akmal Khan" 
<[email protected]<mailto:[email protected]>> wrote:
Dear QE users and experts,
                the orthogonalization of the atomic wave functions is 
controlled from input through the parameter U_projection_type equal to 
“ortho-atomic”. But then forces and stress are not implemented during 
relaxation in LDA+U calculation.How can we orthogonalize wave function and 
implement forces and stress at the same time.?



Thank You,
A.Khan
M.phil Research Student
Hazara University Pakistan.

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************************************************
Matteo Cococcioni
Theory and Simulation of Materials
École Polytechnique Fédérale de Lausanne






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