VCA: Difference between revisions

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Description: {{TAG|VCA}} is short for the virtual crystal approximation; the tag allows to "weight" each species found in the POTCAR file.
Description: {{TAG|VCA}} is short for the virtual crystal approximation; the tag allows to "weight" each species found in the POTCAR file.
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The tag {{TAG|VCA}} must be supplied for each atom type or species found in the {{TAG|POTCAR}} and {{TAG|POSCAR}} file, respectively .  
The tag {{TAG|VCA}} must be supplied for each atom type or species found in the {{TAG|POTCAR}} and {{TAG|POSCAR}} file, respectively.  
It weights the corresponding POTCAR files according to the values given in the {{TAG|INCAR}} file, with the default obviously
It weights the corresponding POTCAR files according to the values given in the {{TAG|INCAR}} file, with the default obviously
being 1. For instance the formal valency found in the POTCAR files is multiplied by the supplied values, and likewise the local potential,
being 1. For instance, the formal valency found in the POTCAR files is multiplied by the supplied values, and likewise, the local potential,
the augmentation charges, and the non-local pseudopotential strength parameters are scaled by the supplied values.  
the augmentation charges, and the non-local pseudopotential strength parameters are scaled by the supplied values.  


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The implementation in VASP closely follows the methodology suggested by Bellaiche and Vanderbilt.<ref name="bellaiche2000VCA"/>
The implementation in VASP closely follows the methodology suggested by Bellaiche and Vanderbilt.<ref name="bellaiche2000VCA"/>


Caveats: Unfortunately results of this kind of VCA calculations are often not very reliable. The problems are even apparent in the original publications by <ref name="bellaiche2000VCA"/>. The
Caveats: Unfortunately results of this kind of VCA calculations are often not very reliable. The problems are even apparent in the original publications <ref name="bellaiche2000VCA"/>. The
key point is that the used PAW potentials need to be constructed in such a way that the pseudo atomic waves are very similar for the potentials  
key point is that the used PAW potentials need to be constructed in such a way that the pseudo atomic waves are very similar for the potentials that are "mixed" (in the example above this would be the Ge and Sn potentials). This can be achieved by carefully optimizing the radial cutoffs. Furthermore,
that are "mixed" (in the example above this would be the Ge and Sn potentials). This can be achieved by carefully optimizing the radial cutoffs. Furthermore,
the local potentials of the two POTCAR files need to be very similar. This means that results for many standard potentials are not accurate. For instance, Vegard's law is
the local potentials of the two POTCAR files need to be very similar. This means that results for many standard potentials are not accurate. For instance, Vegard's law is
often not even approximately observed (instead the volume is way too large at 50 % mixing). The problem is particularly severe if semi-core states
often not even approximately observed (instead the volume is way too large at 50 % mixing). The problem is particularly severe, if semi-core states
are treated as valence states. For instance, for the Ge and Sn alloy, the d electrons had to be treated as core electrons to obtain reasonable results.  
are treated as valence states. For instance, for the Ge and Sn alloy the d electrons had to be treated as core electrons to obtain reasonable results.  
Any attempts to treat the d electrons as valence states lead to grossly incorrect results.
Any attempts to tread the d electrons as valence states lead to crossly incorrect results.
    
    



Revision as of 10:30, 20 January 2021

VCA = [real array]
Default: VCA = read from the POTCAR file 

Description: VCA is short for the virtual crystal approximation; the tag allows to "weight" each species found in the POTCAR file.


The tag VCA must be supplied for each atom type or species found in the POTCAR and POSCAR file, respectively. It weights the corresponding POTCAR files according to the values given in the INCAR file, with the default obviously being 1. For instance, the formal valency found in the POTCAR files is multiplied by the supplied values, and likewise, the local potential, the augmentation charges, and the non-local pseudopotential strength parameters are scaled by the supplied values.

It is possible to use this flag to perform calculations in the framework of the virtual crystal approximation. Say you want to simulate Sn doping in a Ge lattice. Using a POTCAR file with a Ge and Sn data set and the following POSCAR file, this can be achieved:

cd:
  1.00000000000000
    2.82173    2.82173    0.00000
    0.00000    2.82173    2.82173
    2.82173    0.00000    2.82173
  Ge   Sn
    2     2
Direct
 0.00  0.00  0.00
 0.25  0.25  0.25
 0.00  0.00  0.00
 0.25  0.25  0.25

If VCA is set to

 VCA = 0.99 0.01

the Ge atoms are weighted with a weight of 0.99, whereas the Sn atoms are weighted by 0.01 (see [1] for an example application). The implementation in VASP closely follows the methodology suggested by Bellaiche and Vanderbilt.[2]

Caveats: Unfortunately results of this kind of VCA calculations are often not very reliable. The problems are even apparent in the original publications [2]. The key point is that the used PAW potentials need to be constructed in such a way that the pseudo atomic waves are very similar for the potentials that are "mixed" (in the example above this would be the Ge and Sn potentials). This can be achieved by carefully optimizing the radial cutoffs. Furthermore, the local potentials of the two POTCAR files need to be very similar. This means that results for many standard potentials are not accurate. For instance, Vegard's law is often not even approximately observed (instead the volume is way too large at 50 % mixing). The problem is particularly severe if semi-core states are treated as valence states. For instance, for the Ge and Sn alloy, the d electrons had to be treated as core electrons to obtain reasonable results. Any attempts to treat the d electrons as valence states lead to grossly incorrect results.


Related Tags and Sections

LVCADER

References