Dear Pietro,

My pseudopotential is norm conserving.  So that was somehow lucky!

thank you once again

________________________________
From: users <[email protected]> on behalf of Pietro 
Davide Delugas <[email protected]>
Sent: Monday, July 5, 2021 8:41 AM
To: [email protected] <[email protected]>
Subject: Re: [QE-users] How to extract the px, py, pz, dz2, ....contributions 
with SOC from projdos out

P.S. the trick works easily only in the case that the relativistic 
pseudo-potential is norm-conserving.

On 7/5/21 12:13 PM, Pietro Davide Delugas wrote:
Dear Elie
keeping in mind the caveat of Thomas you could  in fact "cheat" projwfc in 
projecting your eigenstates into the non-relatistic atomic states labeled with 
l and the spin (up or down along z).
You just have to open the xml restart file ( the one inside  the prefix.save 
directory) look for the output element and, inside it,  the magnetization 
element,
there change the <spinorbit> element from true to false.

hope this helps
Pietro





On 7/4/21 8:37 PM, Elio Physics wrote:
Dear Thomas,

Thank you for the generous and detailed answer. Indeed, what made me confused 
is that some papers still use the terminology "dz2' ,for example, even in the 
presence of the SOC. I will definitely be looking at the papers you suggested 
to decide which option I will adopt for the discussion I need.

Regards

________________________________
From: Thomas Brumme 
<[email protected]><mailto:[email protected]>
Sent: Sunday, July 4, 2021 10:24 AM
To: Quantum ESPRESSO users Forum 
<[email protected]><mailto:[email protected]>; 
Elio Physics <[email protected]><mailto:[email protected]>
Subject: Re: [QE-users] How to extract the px, py, pz, dz2, ....contributions 
with SOC from projdos out


Dear Elie,


The short answer is: You can't!


Spin-orbit interaction couples the orbital angular momentum with the spin 
momentum and thus neither l or s are good quantum number anymore. You now have 
to use the total angular momentum J. Sure, a lot of people still use the 
nomenclature from the non-SOC calculations, such as speaking in the case of 2D 
TMDCs of dz² states at the K point, but strictly speaking this is not correct. 
If you really want to understand the relation between J and L in detail, I can 
recommend the paper by Andrea Dal Corso and Adriano Mosca Conte, Phys. Rev. B 
71, 115106 (2005) (https://link.aps.org/doi/10.1103/PhysRevB.71.115106) which 
nicely shows which spherical harmonics are included in which spin-angle 
functions for which total angular momentum j. If I remember this correctly 
(some time ago that I did this and I can't find the table anymore) the states 
with higher mj (+-3/2 and +- 5/2) have more in-plane character for both j=3/5 
and j=5/2 (i.e., the contain terms with spherical harmonics which are usually 
combined such that the result is in the xy-plane) while the states with 
mj=+-1/2 have more out-of-plane character (z direction). But I could be wrong 
here since I don't have the details anymore.


The only option for you - if you don't want to check the paper or if this is 
too much and if nobody else comments here - is to do a non-SOC calculation and 
then hope that SOC is not mixing states too much and you can still call the 
result, e.g., dz² like. OR you plot the corresponding wave function in real 
space and decide by "looking" at the form of |psi|².


Regards


Thomas



P.S.: another detail concerning, e.g., the states at K in a WS2 monolayer - is 
this your system? :)

The states are not simple split into spin up and spin down even if a lot of 
people use this nomenclature. For the valence band the two SOC-split bands are 
to nearly 100% spin up or down but not for the conduction band where you won't 
have states which are 100% up or down, even if there is no in-plane 
contribution... Some details can also be found here: 
https://link.aps.org/doi/10.1103/PhysRevB.101.235408


On 7/4/21 6:52 AM, Elio Physics wrote:
Dear all,

I am studying the contribution of the orbitals to the bands of a structure, in 
the presence of spin orbit coupling. At the beginning of the projwfc.x output 
file, I got:

     state #   1: atom   1 (S  ), wfc  1 (l=0 j=0.5 m_j=-0.5)
     state #   2: atom   1 (S  ), wfc  1 (l=0 j=0.5 m_j= 0.5)
     state #   3: atom   1 (S  ), wfc  2 (l=1 j=0.5 m_j=-0.5)
     state #   4: atom   1 (S  ), wfc  2 (l=1 j=0.5 m_j= 0.5)
     state #   5: atom   1 (S  ), wfc  3 (l=1 j=1.5 m_j=-1.5)
     state #   6: atom   1 (S  ), wfc  3 (l=1 j=1.5 m_j=-0.5)
     state #   7: atom   1 (S  ), wfc  3 (l=1 j=1.5 m_j= 0.5)
     state #   8: atom   1 (S  ), wfc  3 (l=1 j=1.5 m_j= 1.5)
.
.
.
      state #  39: atom   5 (W ), wfc  3 (l=2 j=1.5 m_j=-1.5)
     state #  40: atom   5 (W), wfc  3 (l=2 j=1.5 m_j=-0.5)
     state #  41: atom   5 (W), wfc  3 (l=2 j=1.5 m_j= 0.5)
     state #  42: atom   5 (W), wfc  3 (l=2 j=1.5 m_j= 1.5)
     state #  43: atom   5 (W ), wfc  4 (l=2 j=2.5 m_j=-2.5)
     state #  44: atom   5 (W ), wfc  4 (l=2 j=2.5 m_j=-1.5)
     state #  45: atom   5 (W), wfc  4 (l=2 j=2.5 m_j=-0.5)
     state #  46: atom   5 (W), wfc  4 (l=2 j=2.5 m_j= 0.5)
     state #  47: atom   5 (W), wfc  4 (l=2 j=2.5 m_j= 1.5)

The l=1 wavefunctions are the p contributions. But How can we specifically 
identify which one is px, py and pz?
Similary, how to identify which ones of the 10 d orbitals are the dz^2 for 
example

regards

Elie
Federal Universiy of Rondonia
Brazil



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--
Dr. rer. nat. Thomas Brumme
Theoretical chemistry
TU Dresden - BAR / II49
Helmholtzstr. 18
01069 Dresden

Tel:  +49 (0)351 463 40844

email: [email protected]<mailto:[email protected]>



_______________________________________________
Quantum ESPRESSO is supported by MaX 
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users mailing list 
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Quantum ESPRESSO is supported by MaX 
(www.max-centre.eu<http://www.max-centre.eu>)
users mailing list 
[email protected]<mailto:[email protected]>
https://lists.quantum-espresso.org/mailman/listinfo/users

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