Si bandstructure: Difference between revisions
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{{Template:Hybrid_functionals - Tutorial}} | |||
== Task == | |||
*INCAR | Calculation of the bandstructure for Si within DFT+HF. | ||
The bandstructure in VASP can be obtained following three different procedures. The standard procedure (procedure 1), | |||
applicable at PBE level, is also described in [[Fcc Si bandstructure|Fcc Si bandstructure example]]. | |||
Within Hybrid functional theory it is possible to plot bandstructure using procedure 2 or 3. | |||
== Procedure 1: Standard procedure (DFT)== | |||
Only possible within DFT. Described in [[Fcc Si bandstructure|Fcc Si bandstructure example]]: | |||
=== Standard self-consistent (SC) run === | |||
*{{TAG|POSCAR}} | |||
<pre> | |||
system Si | |||
5.430 | |||
0.5 0.5 0.0 | |||
0.0 0.5 0.5 | |||
0.5 0.0 0.5 | |||
2 | |||
cart | |||
0.00 0.00 0.00 | |||
0.25 0.25 0.25 | |||
</pre> | |||
*{{TAG|INCAR}} | |||
{{TAGBL|System}} = fcc Si | |||
{{TAGBL|ISMEAR}} = 0; {{TAGBL|SIGMA}} = 0.1; | |||
*{{TAG|KPOINTS}} | |||
<pre> | <pre> | ||
4x4x4 | |||
0 | |||
G | |||
4 4 4 | |||
0 0 0 | |||
</pre> | |||
=== Non-SC calculation ({{TAGBL|ICHARG}}=11) === | |||
Use preconverged {{TAG|CHGCAR}} file and a suitable {{TAG|KPOINTS}} file (KPOINTS_PBE_bands) | |||
*{{TAG|INCAR}} | |||
{{TAGBL|System}} = fcc Si | |||
{{TAGBL|ICHARG}} = 11 #charge read file | |||
{{TAGBL|ISMEAR}} = 0; {{TAGBL|SIGMA}} = 0.1; | |||
{{TAGBL|LORBIT}} = 11 | |||
*{{TAG|KPOINTS}} | |||
k-points for bandstructure L-G-X-U K-G | |||
10 | |||
line | |||
reciprocal | |||
0.50000 0.50000 0.50000 1 | |||
0.00000 0.00000 0.00000 1 | |||
0.00000 0.00000 0.00000 1 | |||
0.00000 0.50000 0.50000 1 | |||
0.00000 0.50000 0.50000 1 | |||
0.25000 0.62500 0.62500 1 | |||
0.37500 0.7500 0.37500 1 | |||
0.00000 0.00000 0.00000 1 | |||
=== Plot using p4v === | |||
P4VASP: [http://www.p4vasp.at p4v] | |||
== Procedure 2: 0-weight (Fake) SC procedure (PBE & Hybrids) == | |||
This procedure can be applied to compute bandstructure at Hybrid functionals and DFT level. | |||
## | === Standard DFT run === | ||
# | *{{TAG|INCAR}} | ||
## Default | |||
{{TAGBL|ISMEAR}} = 0 | |||
{{TAGBL|SIGMA}} = 0.01 | |||
{{TAGBL|GGA}} = PE | |||
## HSE | |||
#{{TAGBL|LHFCALC}} = .TRUE. ; {{TAGBL|HFSCREEN}} = 0.2 ; {{TAGBL|AEXX}} = 0.25 | |||
#{{TAGBL|ALGO}} = D ; {{TAGBL|TIME}} = 0.4 ; {{TAGBL|LDIAG}} = .TRUE. | |||
*KPOINTS | *{{TAG|KPOINTS}} | ||
<pre> | <pre> | ||
Automatically generated mesh | Automatically generated mesh | ||
Line 33: | Line 97: | ||
</pre> | </pre> | ||
*KPOINTS_HSE_bands | === Hybrid calculation using a suitably modified {{TAGBL|KPOINTS}} file === | ||
*{{TAG|INCAR}} | |||
## Default | |||
{{TAGBL|ISMEAR}} = 0 | |||
{{TAGBL|SIGMA}} = 0.01 | |||
{{TAGBL|GGA}} = PE | |||
## HSE | |||
{{TAGBL|LHFCALC}} = .TRUE. ; {{TAGBL|HFSCREEN}} = 0.2 ; {{TAGBL|AEXX}} = 0.25 | |||
{{TAGBL|ALGO}} = D ; {{TAGBL|TIME}} = 0.4 ; {{TAGBL|LDIAG}} = .TRUE. | |||
*KPOINTS_HSE_bands (see README.txt) | |||
<pre> | <pre> | ||
Explicit k-points list | Explicit k-points list | ||
Line 56: | Line 132: | ||
0.00000000 0.44444444 0.44444444 0.000 | 0.00000000 0.44444444 0.44444444 0.000 | ||
0.00000000 0.50000000 0.50000000 0.000 | 0.00000000 0.50000000 0.50000000 0.000 | ||
</pre> | |||
=== Plot using p4v === | |||
P4VASP: [http://www.p4vasp.at p4v] | |||
'''Mind''': Remove from the bandstructure plot the eigenvalues corresponding to the the regular k-points mesh. | |||
== Procedure 3: VASP2WANNIER90 (GW, Hybrids, PBE)== | |||
Wannier function interpolation using the VASP2WANNIER90 interface. | |||
Applicable in all cases (here applied for hybrids; for GW see [[Bandstructure_of_Si_in_GW_(VASP2WANNIER90)|Bandstructure_of_Si_in_GW_(VASP2WANNIER90) example]]). | |||
=== Standard DFT run === | |||
*{{TAG|INCAR}} | |||
## Default | |||
{{TAGBL|ISMEAR}} = 0 | |||
{{TAGBL|SIGMA}} = 0.01 | |||
{{TAGBL|GGA}} = PE | |||
## HSE | |||
#{{TAGBL|LHFCALC}} = .TRUE. ; {{TAGBL|HFSCREEN}} = 0.2 ; {{TAGBL|AEXX}} = 0.25 | |||
#{{TAGBL|ALGO}} = D ; {{TAGBL|TIME}} = 0.4 ; {{TAGBL|LDIAG}} = .TRUE. | |||
##VASP2WANNIER | |||
#{{TAGBL|LWANNIER90}}=.TRUE. | |||
*{{TAG|KPOINTS}} | |||
<pre> | |||
Automatically generated mesh | |||
0 | |||
G | |||
4 4 4 | |||
0 0 0 | |||
</pre> | </pre> | ||
*POSCAR | === HSE + LWANNIER90 run === | ||
*{{TAG|INCAR}} | |||
## Default | |||
{{TAGBL|ISMEAR}} = 0 | |||
{{TAGBL|SIGMA}} = 0.01 | |||
{{TAGBL|GGA}} = PE | |||
## HSE | |||
{{TAGBL|LHFCALC}} = .TRUE. ; {{TAGBL|HFSCREEN}} = 0.2 ; {{TAGBL|AEXX}} = 0.25 | |||
{{TAGBL|ALGO}} = D ; {{TAGBL|TIME}} = 0.4 ; {{TAGBL|LDIAG}} = .TRUE. | |||
##VASP2WANNIER | |||
{{TAGBL|LWANNIER90}}=.TRUE. | |||
Use the wannier90.win file given below which contains all instructions needed to generate the necessary input files | |||
for the WANNIER90 runs (wannier90.amn, wannier90.mmn, wannier90.eig). | |||
'''Mind''': If the wannier90.win file does not exist VASP will create a default wannier90.win compatible with | |||
the POSCAR and INCAR files, which needs to be suitably modified by including the proper instruction required | |||
to generate the maximally localized wannier functions (refer to the [http://www.wannier.org/doc/user_guide.pdf WANNIER90 manual]). | |||
*wannier90.win | |||
<pre> | <pre> | ||
num_wann=8 | |||
num_bands=8 | |||
0. | |||
0.0 0. | Begin Projections | ||
0. | Si:sp3 | ||
2 | End Projections | ||
0. | dis_froz_max=9 | ||
0. | dis_num_iter=1000 | ||
guiding_centres=true | |||
#restart = plot | |||
#bands_plot = true | |||
#begin kpoint_path | |||
#L 0.50000 0.50000 0.5000 G 0.00000 0.00000 0.0000 | |||
#G 0.00000 0.00000 0.0000 X 0.50000 0.00000 0.5000 | |||
#X 0.50000 0.00000 0.5000 K 0.37500 -0.37500 0.0000 | |||
#K 0.37500 -0.37500 0.0000 G 0.00000 0.00000 0.0000 | |||
#end kpoint_path | |||
#bands_num_points 40 | |||
#bands_plot_format gnuplot xmgrace | |||
begin unit_cell_cart | |||
2.7150000 2.7150000 0.0000000 | |||
0.0000000 2.7150000 2.7150000 | |||
2.7150000 0.0000000 2.7150000 | |||
end unit_cell_cart | |||
begin atoms_cart | |||
Si 0.0000000 0.0000000 0.0000000 | |||
Si 1.3575000 1.3575000 1.3575000 | |||
end atoms_cart | |||
mp_grid = 4 4 4 | |||
begin kpoints | |||
0.0000000 0.0000000 0.0000000 | |||
0.2500000 0.0000000 0.0000000 | |||
0.5000000 0.0000000 0.0000000 | |||
0.2500000 0.2500000 0.0000000 | |||
0.5000000 0.2500000 0.0000000 | |||
-0.2500000 0.2500000 0.0000000 | |||
0.5000000 0.5000000 0.0000000 | |||
-0.2500000 0.5000000 0.2500000 | |||
0.0000000 0.2500000 0.0000000 | |||
0.0000000 0.0000000 0.2500000 | |||
-0.2500000 -0.2500000 -0.2500000 | |||
-0.2500000 0.0000000 0.0000000 | |||
0.0000000 -0.2500000 0.0000000 | |||
0.0000000 0.0000000 -0.2500000 | |||
0.2500000 0.2500000 0.2500000 | |||
0.0000000 0.5000000 0.0000000 | |||
0.0000000 0.0000000 0.5000000 | |||
-0.5000000 -0.5000000 -0.5000000 | |||
0.0000000 0.2500000 0.2500000 | |||
0.2500000 0.0000000 0.2500000 | |||
-0.2500000 -0.2500000 0.0000000 | |||
-0.2500000 0.0000000 -0.2500000 | |||
0.0000000 -0.2500000 -0.2500000 | |||
0.0000000 0.5000000 0.2500000 | |||
0.2500000 0.0000000 0.5000000 | |||
-0.2500000 -0.2500000 0.2500000 | |||
-0.5000000 -0.2500000 -0.5000000 | |||
0.2500000 0.5000000 0.0000000 | |||
0.2500000 -0.2500000 -0.2500000 | |||
-0.5000000 -0.5000000 -0.2500000 | |||
0.0000000 0.2500000 0.5000000 | |||
-0.2500000 0.2500000 -0.2500000 | |||
-0.2500000 -0.5000000 -0.5000000 | |||
0.5000000 0.0000000 0.2500000 | |||
-0.5000000 -0.2500000 0.0000000 | |||
0.0000000 -0.5000000 -0.2500000 | |||
-0.2500000 0.0000000 -0.5000000 | |||
0.2500000 0.2500000 -0.2500000 | |||
0.5000000 0.2500000 0.5000000 | |||
-0.2500000 -0.5000000 0.0000000 | |||
-0.2500000 0.2500000 0.2500000 | |||
0.5000000 0.5000000 0.2500000 | |||
0.0000000 -0.2500000 -0.5000000 | |||
0.2500000 -0.2500000 0.2500000 | |||
0.2500000 0.5000000 0.5000000 | |||
-0.5000000 0.0000000 -0.2500000 | |||
0.0000000 -0.2500000 0.2500000 | |||
0.2500000 0.0000000 -0.2500000 | |||
-0.2500000 -0.2500000 -0.5000000 | |||
0.2500000 0.5000000 0.2500000 | |||
0.2500000 -0.2500000 0.0000000 | |||
-0.5000000 -0.2500000 -0.2500000 | |||
0.2500000 0.2500000 0.5000000 | |||
0.0000000 0.2500000 -0.2500000 | |||
-0.2500000 -0.5000000 -0.2500000 | |||
0.5000000 0.2500000 0.2500000 | |||
-0.2500000 0.0000000 0.2500000 | |||
0.0000000 0.5000000 0.5000000 | |||
0.5000000 0.0000000 0.5000000 | |||
0.2500000 -0.2500000 0.5000000 | |||
0.5000000 0.2500000 -0.2500000 | |||
-0.5000000 -0.2500000 -0.7500000 | |||
0.2500000 -0.5000000 -0.2500000 | |||
-0.2500000 0.2500000 -0.5000000 | |||
end kpoints | |||
</pre> | </pre> | ||
* | === Compute Wannier functions === | ||
run wannier90: | |||
wannier90.x wannier90 | |||
This run generates the wannier90 standard output (wannier90.wout) | |||
and the file wannier90.chk needed for the wannier interpolation (next step) | |||
=== Obtain bandstructure (Wannier interpolation) and plot using XMGRACE or GNUPLOT=== | |||
Uncomment the bandstructure plot flags in wannier90.win and rerun (restart) wannier90: | |||
wannier90.x wannier90 | |||
This run generates the following bandstructure files which can be visualized using xmgrace or gnuplot: | |||
wannier90_band.agr | |||
wannier90_band.dat | |||
wannier90_band.gnu | |||
*README.txt | |||
<pre> | |||
Bandstructure plot in VASP (Three different ways) | |||
1) Standard way: PBE (Fcc Si bandstructure example). | |||
1.1 Standard self-consistent (SC) run | |||
1.2 non-SC calculation ({{TAGBL|ICHARG}}=11) using preconverged {{TAGBL|CHGCAR}} file and KPOINTS_PBE_bands | |||
1.3 Plot using p4v | |||
2) Fake SC procedure: PBE & HSE | |||
2.1 Standard self-consistent (SC) run | |||
2.2 Additional SC-run using KPOINTS_HSE_bands | |||
2.3 Plot using p4v | |||
---- | |||
The file KPOINTS_HSE_bands is constructed by copying the {{TAG|IBZKPT}} file from run 2.1 to the {{TAG|KPOINTS}} file: | |||
IBZKPT | |||
Automatically generated mesh | |||
8 | |||
Reciprocal lattice | |||
0.00000000000000 0.00000000000000 0.00000000000000 1 | |||
0.25000000000000 0.00000000000000 0.00000000000000 8 | |||
0.50000000000000 0.00000000000000 0.00000000000000 4 | |||
0.25000000000000 0.25000000000000 0.00000000000000 6 | |||
0.50000000000000 0.25000000000000 0.00000000000000 24 | |||
-0.25000000000000 0.25000000000000 0.00000000000000 12 | |||
0.50000000000000 0.50000000000000 0.00000000000000 3 | |||
-0.25000000000000 0.50000000000000 0.25000000000000 6 | |||
Then add the desired additional k-points with zero weight and change the total number of k-points | |||
Explicit k-points list | |||
18 <--- CHANGE TOTAL NUMBER OF K-POINTS !! | |||
Reciprocal lattice | |||
0.00000000000000 0.00000000000000 0.00000000000000 1 | |||
0.25000000000000 0.00000000000000 0.00000000000000 8 | |||
0.50000000000000 0.00000000000000 0.00000000000000 4 | |||
0.25000000000000 0.25000000000000 0.00000000000000 6 | |||
0.50000000000000 0.25000000000000 0.00000000000000 24 | |||
-0.25000000000000 0.25000000000000 0.00000000000000 12 | |||
0.50000000000000 0.50000000000000 0.00000000000000 3 | |||
-0.25000000000000 0.50000000000000 0.25000000000000 6 | |||
0.00000000 0.00000000 0.00000000 0.000 <--- ZERO WEIGHT !! | |||
0.00000000 0.05555556 0.05555556 0.000 | |||
0.00000000 0.11111111 0.11111111 0.000 | |||
0.00000000 0.16666667 0.16666667 0.000 | |||
0.00000000 0.22222222 0.22222222 0.000 | |||
0.00000000 0.27777778 0.27777778 0.000 | |||
0.00000000 0.33333333 0.33333333 0.000 | |||
0.00000000 0.38888889 0.38888889 0.000 | |||
0.00000000 0.44444444 0.44444444 0.000 | |||
0.00000000 0.50000000 0.50000000 0.000 | |||
---- | |||
3) VASP2WANNIER90: PBE, HSE & GW | |||
3.1 Standard SC run using the existing wannier.win file | |||
3.2 run wannier90 (wannier90.x wannier90) to generate MLWFs | |||
3.3 uncomment bandstructure plot flags in wannier90.win and restart wannier90 | |||
---- | |||
If the wannier90.win file does not exist VASP will create a default wannier90.win compatible with | |||
the {{TAG|POSCAR}} and {{TAG|INCAR}}, which need to be suitably modify by including the proper instruction required | |||
to generate the MLWFs (refer to the wannier90 manual): | |||
default wannier90.win | |||
num_wann = 8 ! set to NBANDS by VASP | |||
use_bloch_phases = .T. | |||
begin unit_cell_cart | |||
2.7150000 2.7150000 0.0000000 | |||
0.0000000 2.7150000 2.7150000 | |||
2.7150000 0.0000000 2.7150000 | |||
end unit_cell_cart | |||
begin atoms_cart | |||
Si 0.0000000 0.0000000 0.0000000 | |||
Si 1.3575000 1.3575000 1.3575000 | |||
end atoms_cart | |||
= | mp_grid = 4 4 4 | ||
begin kpoints | |||
0.0000000 0.0000000 0.0000000 | |||
0.2500000 0.0000000 0.0000000 | |||
0.5000000 0.0000000 0.0000000 | |||
0.2500000 0.2500000 0.0000000 | |||
0.5000000 0.2500000 0.0000000 | |||
-0.2500000 0.2500000 0.0000000 | |||
0.5000000 0.5000000 0.0000000 | |||
-0.2500000 0.5000000 0.2500000 | |||
0.0000000 0.2500000 0.0000000 | |||
0.0000000 0.0000000 0.2500000 | |||
-0.2500000 -0.2500000 -0.2500000 | |||
-0.2500000 0.0000000 0.0000000 | |||
0.0000000 -0.2500000 0.0000000 | |||
0.0000000 0.0000000 -0.2500000 | |||
0.2500000 0.2500000 0.2500000 | |||
0.0000000 0.5000000 0.0000000 | |||
0.0000000 0.0000000 0.5000000 | |||
-0.5000000 -0.5000000 -0.5000000 | |||
0.0000000 0.2500000 0.2500000 | |||
0.2500000 0.0000000 0.2500000 | |||
-0.2500000 -0.2500000 0.0000000 | |||
-0.2500000 0.0000000 -0.2500000 | |||
0.0000000 -0.2500000 -0.2500000 | |||
0.0000000 0.5000000 0.2500000 | |||
0.2500000 0.0000000 0.5000000 | |||
-0.2500000 -0.2500000 0.2500000 | |||
-0.5000000 -0.2500000 -0.5000000 | |||
0.2500000 0.5000000 0.0000000 | |||
0.2500000 -0.2500000 -0.2500000 | |||
-0.5000000 -0.5000000 -0.2500000 | |||
0.0000000 0.2500000 0.5000000 | |||
-0.2500000 0.2500000 -0.2500000 | |||
-0.2500000 -0.5000000 -0.5000000 | |||
0.5000000 0.0000000 0.2500000 | |||
-0.5000000 -0.2500000 0.0000000 | |||
0.0000000 -0.5000000 -0.2500000 | |||
-0.2500000 0.0000000 -0.5000000 | |||
0.2500000 0.2500000 -0.2500000 | |||
0.5000000 0.2500000 0.5000000 | |||
-0.2500000 -0.5000000 0.0000000 | |||
-0.2500000 0.2500000 0.2500000 | |||
0.5000000 0.5000000 0.2500000 | |||
0.0000000 -0.2500000 -0.5000000 | |||
0.2500000 -0.2500000 0.2500000 | |||
0.2500000 0.5000000 0.5000000 | |||
-0.5000000 0.0000000 -0.2500000 | |||
0.0000000 -0.2500000 0.2500000 | |||
0.2500000 0.0000000 -0.2500000 | |||
-0.2500000 -0.2500000 -0.5000000 | |||
0.2500000 0.5000000 0.2500000 | |||
0.2500000 -0.2500000 0.0000000 | |||
-0.5000000 -0.2500000 -0.2500000 | |||
0.2500000 0.2500000 0.5000000 | |||
0.0000000 0.2500000 -0.2500000 | |||
-0.2500000 -0.5000000 -0.2500000 | |||
0.5000000 0.2500000 0.2500000 | |||
-0.2500000 0.0000000 0.2500000 | |||
0.0000000 0.5000000 0.5000000 | |||
0.5000000 0.0000000 0.5000000 | |||
0.2500000 -0.2500000 0.5000000 | |||
0.5000000 0.2500000 -0.2500000 | |||
-0.5000000 -0.2500000 -0.7500000 | |||
0.2500000 -0.5000000 -0.2500000 | |||
-0.2500000 0.2500000 -0.5000000 | |||
end kpoints | |||
---- | ---- | ||
[[ | |||
</pre> | |||
Wannier90 Manual: [http://www.wannier.org/doc/user_guide.pdf WANNIER90 manual] | |||
LWANNIER90 in the VASP Manual: [[LWANNIER90|LWANNIER90]]. | |||
== Download == | |||
[[Media:5 4 Si bandstructure.tgz| 5_4_Si_bandstructure.tgz]] | |||
{{Template:Hybrid_functionals}} | |||
[[Category:Examples]] | [[Category:Examples]] |
Latest revision as of 14:17, 14 November 2019
Task
Calculation of the bandstructure for Si within DFT+HF.
The bandstructure in VASP can be obtained following three different procedures. The standard procedure (procedure 1),
applicable at PBE level, is also described in Fcc Si bandstructure example.
Within Hybrid functional theory it is possible to plot bandstructure using procedure 2 or 3.
Procedure 1: Standard procedure (DFT)
Only possible within DFT. Described in Fcc Si bandstructure example:
Standard self-consistent (SC) run
system Si 5.430 0.5 0.5 0.0 0.0 0.5 0.5 0.5 0.0 0.5 2 cart 0.00 0.00 0.00 0.25 0.25 0.25
System = fcc Si ISMEAR = 0; SIGMA = 0.1;
4x4x4 0 G 4 4 4 0 0 0
Non-SC calculation (ICHARG=11)
Use preconverged CHGCAR file and a suitable KPOINTS file (KPOINTS_PBE_bands)
System = fcc Si ICHARG = 11 #charge read file ISMEAR = 0; SIGMA = 0.1; LORBIT = 11
k-points for bandstructure L-G-X-U K-G 10 line reciprocal 0.50000 0.50000 0.50000 1 0.00000 0.00000 0.00000 1 0.00000 0.00000 0.00000 1 0.00000 0.50000 0.50000 1 0.00000 0.50000 0.50000 1 0.25000 0.62500 0.62500 1 0.37500 0.7500 0.37500 1 0.00000 0.00000 0.00000 1
Plot using p4v
P4VASP: p4v
Procedure 2: 0-weight (Fake) SC procedure (PBE & Hybrids)
This procedure can be applied to compute bandstructure at Hybrid functionals and DFT level.
Standard DFT run
## Default ISMEAR = 0 SIGMA = 0.01 GGA = PE ## HSE #LHFCALC = .TRUE. ; HFSCREEN = 0.2 ; AEXX = 0.25 #ALGO = D ; TIME = 0.4 ; LDIAG = .TRUE.
Automatically generated mesh 0 G 4 4 4 0 0 0
Hybrid calculation using a suitably modified KPOINTS file
## Default ISMEAR = 0 SIGMA = 0.01 GGA = PE ## HSE LHFCALC = .TRUE. ; HFSCREEN = 0.2 ; AEXX = 0.25 ALGO = D ; TIME = 0.4 ; LDIAG = .TRUE.
- KPOINTS_HSE_bands (see README.txt)
Explicit k-points list 18 Reciprocal lattice 0.00000000000000 0.00000000000000 0.00000000000000 1 0.25000000000000 0.00000000000000 0.00000000000000 8 0.50000000000000 0.00000000000000 0.00000000000000 4 0.25000000000000 0.25000000000000 0.00000000000000 6 0.50000000000000 0.25000000000000 0.00000000000000 24 -0.25000000000000 0.25000000000000 0.00000000000000 12 0.50000000000000 0.50000000000000 0.00000000000000 3 -0.25000000000000 0.50000000000000 0.25000000000000 6 0.00000000 0.00000000 0.00000000 0.000 0.00000000 0.05555556 0.05555556 0.000 0.00000000 0.11111111 0.11111111 0.000 0.00000000 0.16666667 0.16666667 0.000 0.00000000 0.22222222 0.22222222 0.000 0.00000000 0.27777778 0.27777778 0.000 0.00000000 0.33333333 0.33333333 0.000 0.00000000 0.38888889 0.38888889 0.000 0.00000000 0.44444444 0.44444444 0.000 0.00000000 0.50000000 0.50000000 0.000
Plot using p4v
P4VASP: p4v
Mind: Remove from the bandstructure plot the eigenvalues corresponding to the the regular k-points mesh.
Procedure 3: VASP2WANNIER90 (GW, Hybrids, PBE)
Wannier function interpolation using the VASP2WANNIER90 interface. Applicable in all cases (here applied for hybrids; for GW see Bandstructure_of_Si_in_GW_(VASP2WANNIER90) example).
Standard DFT run
## Default ISMEAR = 0 SIGMA = 0.01 GGA = PE ## HSE #LHFCALC = .TRUE. ; HFSCREEN = 0.2 ; AEXX = 0.25 #ALGO = D ; TIME = 0.4 ; LDIAG = .TRUE. ##VASP2WANNIER #LWANNIER90=.TRUE.
Automatically generated mesh 0 G 4 4 4 0 0 0
HSE + LWANNIER90 run
## Default ISMEAR = 0 SIGMA = 0.01 GGA = PE ## HSE LHFCALC = .TRUE. ; HFSCREEN = 0.2 ; AEXX = 0.25 ALGO = D ; TIME = 0.4 ; LDIAG = .TRUE. ##VASP2WANNIER LWANNIER90=.TRUE.
Use the wannier90.win file given below which contains all instructions needed to generate the necessary input files for the WANNIER90 runs (wannier90.amn, wannier90.mmn, wannier90.eig).
Mind: If the wannier90.win file does not exist VASP will create a default wannier90.win compatible with the POSCAR and INCAR files, which needs to be suitably modified by including the proper instruction required to generate the maximally localized wannier functions (refer to the WANNIER90 manual).
- wannier90.win
num_wann=8 num_bands=8 Begin Projections Si:sp3 End Projections dis_froz_max=9 dis_num_iter=1000 guiding_centres=true #restart = plot #bands_plot = true #begin kpoint_path #L 0.50000 0.50000 0.5000 G 0.00000 0.00000 0.0000 #G 0.00000 0.00000 0.0000 X 0.50000 0.00000 0.5000 #X 0.50000 0.00000 0.5000 K 0.37500 -0.37500 0.0000 #K 0.37500 -0.37500 0.0000 G 0.00000 0.00000 0.0000 #end kpoint_path #bands_num_points 40 #bands_plot_format gnuplot xmgrace begin unit_cell_cart 2.7150000 2.7150000 0.0000000 0.0000000 2.7150000 2.7150000 2.7150000 0.0000000 2.7150000 end unit_cell_cart begin atoms_cart Si 0.0000000 0.0000000 0.0000000 Si 1.3575000 1.3575000 1.3575000 end atoms_cart mp_grid = 4 4 4 begin kpoints 0.0000000 0.0000000 0.0000000 0.2500000 0.0000000 0.0000000 0.5000000 0.0000000 0.0000000 0.2500000 0.2500000 0.0000000 0.5000000 0.2500000 0.0000000 -0.2500000 0.2500000 0.0000000 0.5000000 0.5000000 0.0000000 -0.2500000 0.5000000 0.2500000 0.0000000 0.2500000 0.0000000 0.0000000 0.0000000 0.2500000 -0.2500000 -0.2500000 -0.2500000 -0.2500000 0.0000000 0.0000000 0.0000000 -0.2500000 0.0000000 0.0000000 0.0000000 -0.2500000 0.2500000 0.2500000 0.2500000 0.0000000 0.5000000 0.0000000 0.0000000 0.0000000 0.5000000 -0.5000000 -0.5000000 -0.5000000 0.0000000 0.2500000 0.2500000 0.2500000 0.0000000 0.2500000 -0.2500000 -0.2500000 0.0000000 -0.2500000 0.0000000 -0.2500000 0.0000000 -0.2500000 -0.2500000 0.0000000 0.5000000 0.2500000 0.2500000 0.0000000 0.5000000 -0.2500000 -0.2500000 0.2500000 -0.5000000 -0.2500000 -0.5000000 0.2500000 0.5000000 0.0000000 0.2500000 -0.2500000 -0.2500000 -0.5000000 -0.5000000 -0.2500000 0.0000000 0.2500000 0.5000000 -0.2500000 0.2500000 -0.2500000 -0.2500000 -0.5000000 -0.5000000 0.5000000 0.0000000 0.2500000 -0.5000000 -0.2500000 0.0000000 0.0000000 -0.5000000 -0.2500000 -0.2500000 0.0000000 -0.5000000 0.2500000 0.2500000 -0.2500000 0.5000000 0.2500000 0.5000000 -0.2500000 -0.5000000 0.0000000 -0.2500000 0.2500000 0.2500000 0.5000000 0.5000000 0.2500000 0.0000000 -0.2500000 -0.5000000 0.2500000 -0.2500000 0.2500000 0.2500000 0.5000000 0.5000000 -0.5000000 0.0000000 -0.2500000 0.0000000 -0.2500000 0.2500000 0.2500000 0.0000000 -0.2500000 -0.2500000 -0.2500000 -0.5000000 0.2500000 0.5000000 0.2500000 0.2500000 -0.2500000 0.0000000 -0.5000000 -0.2500000 -0.2500000 0.2500000 0.2500000 0.5000000 0.0000000 0.2500000 -0.2500000 -0.2500000 -0.5000000 -0.2500000 0.5000000 0.2500000 0.2500000 -0.2500000 0.0000000 0.2500000 0.0000000 0.5000000 0.5000000 0.5000000 0.0000000 0.5000000 0.2500000 -0.2500000 0.5000000 0.5000000 0.2500000 -0.2500000 -0.5000000 -0.2500000 -0.7500000 0.2500000 -0.5000000 -0.2500000 -0.2500000 0.2500000 -0.5000000 end kpoints
Compute Wannier functions
run wannier90:
wannier90.x wannier90
This run generates the wannier90 standard output (wannier90.wout) and the file wannier90.chk needed for the wannier interpolation (next step)
Obtain bandstructure (Wannier interpolation) and plot using XMGRACE or GNUPLOT
Uncomment the bandstructure plot flags in wannier90.win and rerun (restart) wannier90:
wannier90.x wannier90
This run generates the following bandstructure files which can be visualized using xmgrace or gnuplot:
wannier90_band.agr
wannier90_band.dat
wannier90_band.gnu
- README.txt
Bandstructure plot in VASP (Three different ways) 1) Standard way: PBE (Fcc Si bandstructure example). 1.1 Standard self-consistent (SC) run 1.2 non-SC calculation ({{TAGBL|ICHARG}}=11) using preconverged {{TAGBL|CHGCAR}} file and KPOINTS_PBE_bands 1.3 Plot using p4v 2) Fake SC procedure: PBE & HSE 2.1 Standard self-consistent (SC) run 2.2 Additional SC-run using KPOINTS_HSE_bands 2.3 Plot using p4v ---- The file KPOINTS_HSE_bands is constructed by copying the {{TAG|IBZKPT}} file from run 2.1 to the {{TAG|KPOINTS}} file: IBZKPT Automatically generated mesh 8 Reciprocal lattice 0.00000000000000 0.00000000000000 0.00000000000000 1 0.25000000000000 0.00000000000000 0.00000000000000 8 0.50000000000000 0.00000000000000 0.00000000000000 4 0.25000000000000 0.25000000000000 0.00000000000000 6 0.50000000000000 0.25000000000000 0.00000000000000 24 -0.25000000000000 0.25000000000000 0.00000000000000 12 0.50000000000000 0.50000000000000 0.00000000000000 3 -0.25000000000000 0.50000000000000 0.25000000000000 6 Then add the desired additional k-points with zero weight and change the total number of k-points Explicit k-points list 18 <--- CHANGE TOTAL NUMBER OF K-POINTS !! Reciprocal lattice 0.00000000000000 0.00000000000000 0.00000000000000 1 0.25000000000000 0.00000000000000 0.00000000000000 8 0.50000000000000 0.00000000000000 0.00000000000000 4 0.25000000000000 0.25000000000000 0.00000000000000 6 0.50000000000000 0.25000000000000 0.00000000000000 24 -0.25000000000000 0.25000000000000 0.00000000000000 12 0.50000000000000 0.50000000000000 0.00000000000000 3 -0.25000000000000 0.50000000000000 0.25000000000000 6 0.00000000 0.00000000 0.00000000 0.000 <--- ZERO WEIGHT !! 0.00000000 0.05555556 0.05555556 0.000 0.00000000 0.11111111 0.11111111 0.000 0.00000000 0.16666667 0.16666667 0.000 0.00000000 0.22222222 0.22222222 0.000 0.00000000 0.27777778 0.27777778 0.000 0.00000000 0.33333333 0.33333333 0.000 0.00000000 0.38888889 0.38888889 0.000 0.00000000 0.44444444 0.44444444 0.000 0.00000000 0.50000000 0.50000000 0.000 ---- 3) VASP2WANNIER90: PBE, HSE & GW 3.1 Standard SC run using the existing wannier.win file 3.2 run wannier90 (wannier90.x wannier90) to generate MLWFs 3.3 uncomment bandstructure plot flags in wannier90.win and restart wannier90 ---- If the wannier90.win file does not exist VASP will create a default wannier90.win compatible with the {{TAG|POSCAR}} and {{TAG|INCAR}}, which need to be suitably modify by including the proper instruction required to generate the MLWFs (refer to the wannier90 manual): default wannier90.win num_wann = 8 ! set to NBANDS by VASP use_bloch_phases = .T. begin unit_cell_cart 2.7150000 2.7150000 0.0000000 0.0000000 2.7150000 2.7150000 2.7150000 0.0000000 2.7150000 end unit_cell_cart begin atoms_cart Si 0.0000000 0.0000000 0.0000000 Si 1.3575000 1.3575000 1.3575000 end atoms_cart mp_grid = 4 4 4 begin kpoints 0.0000000 0.0000000 0.0000000 0.2500000 0.0000000 0.0000000 0.5000000 0.0000000 0.0000000 0.2500000 0.2500000 0.0000000 0.5000000 0.2500000 0.0000000 -0.2500000 0.2500000 0.0000000 0.5000000 0.5000000 0.0000000 -0.2500000 0.5000000 0.2500000 0.0000000 0.2500000 0.0000000 0.0000000 0.0000000 0.2500000 -0.2500000 -0.2500000 -0.2500000 -0.2500000 0.0000000 0.0000000 0.0000000 -0.2500000 0.0000000 0.0000000 0.0000000 -0.2500000 0.2500000 0.2500000 0.2500000 0.0000000 0.5000000 0.0000000 0.0000000 0.0000000 0.5000000 -0.5000000 -0.5000000 -0.5000000 0.0000000 0.2500000 0.2500000 0.2500000 0.0000000 0.2500000 -0.2500000 -0.2500000 0.0000000 -0.2500000 0.0000000 -0.2500000 0.0000000 -0.2500000 -0.2500000 0.0000000 0.5000000 0.2500000 0.2500000 0.0000000 0.5000000 -0.2500000 -0.2500000 0.2500000 -0.5000000 -0.2500000 -0.5000000 0.2500000 0.5000000 0.0000000 0.2500000 -0.2500000 -0.2500000 -0.5000000 -0.5000000 -0.2500000 0.0000000 0.2500000 0.5000000 -0.2500000 0.2500000 -0.2500000 -0.2500000 -0.5000000 -0.5000000 0.5000000 0.0000000 0.2500000 -0.5000000 -0.2500000 0.0000000 0.0000000 -0.5000000 -0.2500000 -0.2500000 0.0000000 -0.5000000 0.2500000 0.2500000 -0.2500000 0.5000000 0.2500000 0.5000000 -0.2500000 -0.5000000 0.0000000 -0.2500000 0.2500000 0.2500000 0.5000000 0.5000000 0.2500000 0.0000000 -0.2500000 -0.5000000 0.2500000 -0.2500000 0.2500000 0.2500000 0.5000000 0.5000000 -0.5000000 0.0000000 -0.2500000 0.0000000 -0.2500000 0.2500000 0.2500000 0.0000000 -0.2500000 -0.2500000 -0.2500000 -0.5000000 0.2500000 0.5000000 0.2500000 0.2500000 -0.2500000 0.0000000 -0.5000000 -0.2500000 -0.2500000 0.2500000 0.2500000 0.5000000 0.0000000 0.2500000 -0.2500000 -0.2500000 -0.5000000 -0.2500000 0.5000000 0.2500000 0.2500000 -0.2500000 0.0000000 0.2500000 0.0000000 0.5000000 0.5000000 0.5000000 0.0000000 0.5000000 0.2500000 -0.2500000 0.5000000 0.5000000 0.2500000 -0.2500000 -0.5000000 -0.2500000 -0.7500000 0.2500000 -0.5000000 -0.2500000 -0.2500000 0.2500000 -0.5000000 end kpoints ----
Wannier90 Manual: WANNIER90 manual
LWANNIER90 in the VASP Manual: LWANNIER90.