About the projections

General discussion around the EPW software

Moderator: hlee

Post Reply
fenglei2000
Posts: 1
Joined: Tue Mar 23, 2021 9:10 am
Affiliation: North China University of Science

About the projections

Post by fenglei2000 »

When use epw, I find it's difficult to set the the 'projections' in inputs. Where can I get the projections such as 'f=-0.125,-0.125, 0.375:s' ?
And can I get the right results using the proj(1)= 'random' in the calculation? Thanks!

hlee
Posts: 308
Joined: Thu Aug 03, 2017 12:24 pm
Affiliation: The University of Texas at Austin

Re: About the projections

Post by hlee »

Dear fenglei2000:

Your question is about the Wannierization and regarding the projections, you need to read the section of II. 3 "Projections" of the user guide at http://www.wannier.org/support/ .

Regarding your second question:
Generally speaking, instead of choosing the random projections, it is better to choose the initial projections which are suitable to your material.

Sincerely,

H. Lee

jspeng
Posts: 10
Joined: Mon Jul 27, 2020 2:54 am
Affiliation: xiamen university

Re: About the projections

Post by jspeng »

Dear H. Lee

I don't really know what is initial projections, i have also met some problems.when i plot pentacene's MLWFs using Gaussian cube format, it should be localized on the melecular stucture cause i choose VB and VB-1 bands to construct MLWFs, so it is logically should be like homo and homo-1 in
Gaussian's result. However, my result is not like that. Here is an image of MLWFs: [img][https://i.loli.net/2021/05/18/ItgQnyX4zaVqukC.png]

Here is my band structure:[img][https://i.loli.net/2021/05/18/eJUycStPOqZo8m1.png], i choose two bands just marked in image. And i've tried wannier_plot_mode = molecule.But it is not good.

Here is the pdos: [img][https://i.loli.net/2021/05/18/i4YQ8jdqgRDoNXs.png], it is known that C's py orbital is the main contribution to VB and VB-1.

And here are my .win file:
---------------------------------------
exclude_bands = 1:82,85:150
num_wann = 2
num_bands = 2
num_iter = 500
!dis_win_max = 2
!dis_win_min = 2
!dis_froz_max = 1
!dis_froz_min = 1
!dis_num_iter = 50
!dis_mix_ratio = 1.0
kmesh_tol = 0.00001

write_hr= .true.
write_hr_diag=.true.
wannier_plot= .true.
wannier_plot_format = cube
wannier_plot_mode = crystal
wannier_plot_radius = 5
wannier_plot_scale = 1.0
wannier_plot_supercell = 3
wannier_plot_list = 1-2
!bands_plot =.true.
restart = plot

write_xyz=.TRUE.
!gamma_only=.TRUE.

begin atoms_frac
C 0.12959 0.03292 0.39138
C 0.88207 0.98320 0.61377
C 0.15861 0.15508 0.32454
C 0.85321 0.86107 0.68068
C 0.09267 0.07521 0.20891
C 1.91916 0.94108 0.79630
C 0.12093 0.19586 0.13924
C 0.89109 0.82037 0.86600
C 0.05548 0.11521 0.02537
C 0.95656 0.90105 0.97985
C 0.92886 0.78029 0.05088
C 0.08311 0.23596 0.95430
C 0.99391 0.86145 0.16347
C 0.01777 0.15492 0.84169
C 0.96630 0.74018 0.23612
C 0.04512 0.27619 0.76894
C 0.03194 0.82313 0.34656
C 0.97947 0.19315 0.65851
C 0.54261 0.56482 0.37485
C 0.46850 0.45148 0.62262
C 0.48052 0.67751 0.28992
C 0.52984 0.33851 0.70744
C 0.49952 0.58873 0.18930
C 0.50969 0.42683 0.80774
C 0.44119 0.70211 0.10247
C 0.56754 0.31328 0.89450
C 0.46244 0.61479 0.00401
C 0.54566 0.40036 0.99276
C 0.60346 0.28649 0.08070
C 0.40462 0.72855 0.91603
C 0.58329 0.37502 0.17822
C 0.42538 0.64025 0.81864
C 0.64535 0.26320 0.26882
C 0.36395 0.75226 0.72810
C 0.62625 0.35570 0.36433
C 0.38438 0.66031 0.63293
H 0.18087 0.09674 0.47939
H 0.83091 0.91930 0.52577
H 0.23230 0.31591 0.35792
H 0.77957 0.70019 0.64736
H 0.19550 0.35616 0.17349
H 0.81669 0.65998 0.83178
H 0.85472 0.61973 0.01674
H 0.15727 0.39652 0.98841
H 0.89176 0.58011 0.20170
H 0.11956 0.43633 0.80328
H 0.00921 0.72845 0.40068
H 0.00207 0.28783 0.60435
H 0.52834 0.63557 0.45136
H 0.48368 0.38117 0.54635
H 0.41572 0.83671 0.29767
H 0.59506 0.17954 0.69986
H 0.37794 0.86239 0.11090
H 0.63107 0.15315 0.88618
H 0.66703 0.12635 0.07244
H 0.34097 0.88863 0.92421
H 0.70945 0.10359 0.26056
H 0.29947 0.91163 0.73619
H 0.67493 0.26922 0.43301
H 0.33634 0.74695 0.56430
end atoms_frac

begin projections
random
end projections

begin unit_cell_cart
7.980000 0.000000 0.000000
0.267823 6.134156 0.000000
-5.345791 -2.428121 12.234036
end unit_cell_cart

mp_grid : 6 8 6

begin kpoints
0.00000000 0.00000000 0.00000000
0.00000000 0.00000000 0.16666667
0.00000000 0.00000000 0.33333333
0.00000000 0.00000000 0.50000000
0.00000000 0.00000000 0.66666667
0.00000000 0.00000000 0.83333333
0.00000000 0.12500000 0.00000000
0.00000000 0.12500000 0.16666667
0.00000000 0.12500000 0.33333333
0.00000000 0.12500000 0.50000000
0.00000000 0.12500000 0.66666667
0.00000000 0.12500000 0.83333333
0.00000000 0.25000000 0.00000000
0.00000000 0.25000000 0.16666667
0.00000000 0.25000000 0.33333333
0.00000000 0.25000000 0.50000000
0.00000000 0.25000000 0.66666667
0.00000000 0.25000000 0.83333333
0.00000000 0.37500000 0.00000000
0.00000000 0.37500000 0.16666667
0.00000000 0.37500000 0.33333333
0.00000000 0.37500000 0.50000000
0.00000000 0.37500000 0.66666667
0.00000000 0.37500000 0.83333333
0.00000000 0.50000000 0.00000000
0.00000000 0.50000000 0.16666667
0.00000000 0.50000000 0.33333333
0.00000000 0.50000000 0.50000000
0.00000000 0.50000000 0.66666667
0.00000000 0.50000000 0.83333333
0.00000000 0.62500000 0.00000000
0.00000000 0.62500000 0.16666667
0.00000000 0.62500000 0.33333333
0.00000000 0.62500000 0.50000000
0.00000000 0.62500000 0.66666667
0.00000000 0.62500000 0.83333333

..............................
--------------------------------------------------------------------

Sincerely,

Jisheng

hpaudya1
Posts: 95
Joined: Tue Mar 21, 2017 7:11 pm
Affiliation:

Re: About the projections

Post by hpaudya1 »

Hi Jisheng,

Unfortunately none of the [img] link is working for me. You can attach your image through the attachment. In addition to this, could you share your scf.in, nscf.in, epw.in and band.dat (band structure file which you got from qe).

Best,
Hari

jspeng
Posts: 10
Joined: Mon Jul 27, 2020 2:54 am
Affiliation: xiamen university

Re: About the projections

Post by jspeng »

Hi Hari!

Thanks for replying. I've made a mistake,the crystal i mentioned above should be tetracene rather than pentacene.


scf.in
----------------------------
&CONTROL
calculation='scf',
restart_mode='from_scratch',
outdir='.',
prefix='tetra',
pseudo_dir='/data/home/jspeng/espresso/pseudo',
forc_conv_thr =1.0D-10
etot_conv_thr = 1.0D-10
verbosity='high'
nstep =500
/

&SYSTEM
ibrav=0,
celldm(1)=15.0800145101d0,
nat=60,
ntyp=2,
occupations = 'smearing'
smearing = 'mp'
degauss = 0.02
nbnd = 150
vdw_corr = 'DFT-D'
ecutwfc=55,
/

&ELECTRONS
diagonalization = 'david'
mixing_beta = 0.7
conv_thr = 1.0d-10

/
&IONS
ion_dynamics = 'bfgs',
/

&CELL
cell_dynamics= 'bfgs',

/
ATOMIC_SPECIES
C 12.010700d0 C.pbe-n-kjpaw_psl.1.0.0.UPF
H 1.007940d0 H.pbe-kjpaw_psl.1.0.0.UPF

ATOMIC_POSITIONS {crystal}
C 0.129590647 0.032924239 0.391382088
C 0.882065890 0.983201660 0.613769710
C 0.158608098 0.155076409 0.324536811
C 0.853209081 0.861065914 0.680677067
C 0.092672048 0.075210521 0.208905360
C 0.919157497 0.941077084 0.796298973
C 0.120934212 0.195861479 0.139236490
C 0.891093914 0.820374293 0.866001881
C 0.055484347 0.115212764 0.025374413
C 0.956560310 0.901052758 0.979851348
C 0.928861444 0.780293818 0.050883897
C 0.083106748 0.235960362 0.954301440
C 0.993914538 0.861446222 0.163469762
C 0.017773832 0.154916963 0.841686124
C 0.966298289 0.740177602 0.236117543
C 0.045118482 0.276193904 0.768943448
C 0.031935364 0.823128495 0.346555979
C 0.979466046 0.193154883 0.658514471
C 0.542609745 0.564818079 0.374850299
C 0.468495545 0.451480511 0.622624787
C 0.480522821 0.677507122 0.289920802
C 0.529844865 0.338505082 0.707437167
C 0.499516603 0.588729237 0.189302989
C 0.509689637 0.426834329 0.807744691
C 0.441188636 0.702105638 0.102467812
C 0.567540661 0.313280471 0.894497485
C 0.462441677 0.614790804 0.004014496
C 0.545659105 0.400357857 0.992760825
C 0.603460458 0.286486627 0.080697349
C 0.404624843 0.728554375 0.916025092
C 0.583293771 0.375020009 0.178221653
C 0.425381100 0.640250041 0.818636739
C 0.645352871 0.263199234 0.268822610
C 0.363952034 0.752260411 0.728101784
C 0.626247480 0.355701464 0.364331808
C 0.384382244 0.660314461 0.632926730
H 0.180872251 0.096740582 0.479386477
H 0.830912688 0.919300820 0.525772272
H 0.232299332 0.315909316 0.357919323
H 0.779570680 0.700191382 0.647356377
H 0.195501475 0.356159143 0.173494586
H 0.816689155 0.659975943 0.831776602
H 0.854720094 0.619725118 0.016739176
H 0.157270157 0.396517765 0.988412815
H 0.891763480 0.580110790 0.201699210
H 0.119559737 0.436332512 0.803280099
H 0.009209876 0.728445147 0.400675739
H 0.002074339 0.287833428 0.604350332
H 0.528343910 0.635568471 0.451357550
H 0.483675174 0.381166645 0.546347318
H 0.415719685 0.836711796 0.297669453
H 0.595063293 0.179542733 0.699859493
H 0.377944650 0.862392155 0.110895779
H 0.631070697 0.153151209 0.886182637
H 0.667027738 0.126353427 0.072435624
H 0.340965793 0.888634329 0.924213294
H 0.709449712 0.103593623 0.260563380
H 0.299470465 0.911631878 0.736194969
H 0.674925366 0.269222895 0.433014008
H 0.336335560 0.746948278 0.564301262
K_POINTS automatic
3 4 3 0 0 0

CELL_PARAMETERS {alat}
1.000000000000d0 0.000000000000d0 0.000000000000d0
0.033561783454d0 0.768691219601d0 0.000000000000d0
-0.669898611003d0 -0.304275780475d0 1.533087234438d0
-------------------------------------------------------------------------------------------

nscf.in
-------------------------------------------------------------------------
&control
calculation = 'nscf'
prefix = 'tetra'
restart_mode = 'from_scratch'
wf_collect = .false.
pseudo_dir = '/data/home/jspeng/espresso/pseudo'
outdir = './'
tprnfor = .true. !calculate forces
tstress = .true. !calculate stress
forc_conv_thr = 1.0D-8
etot_conv_thr = 1.0D-8
nstep= 500
/
&system
ibrav=0,
celldm(1)=15.0800145101d0,
nat=60,
ntyp=2,
occupations = 'smearing'
smearing = 'mp'
degauss = 0.02
nbnd = 150
vdw_corr = 'DFT-D'
ecutwfc=55,
/
&electrons
diagonalization = 'david'
mixing_beta = 0.7
conv_thr = 1.0d-10
/
&IONS
ion_dynamics = 'bfgs',
/

&CELL
cell_dynamics= 'bfgs',

/
ATOMIC_SPECIES
C 12.01078 C.pbe-n-kjpaw_psl.1.0.0.UPF
H 1.007940d0 H.pbe-kjpaw_psl.1.0.0.UPF

ATOMIC_POSITIONS {crystal}
C 0.129590647 0.032924239 0.391382088
C 0.882065890 0.983201660 0.613769710
C 0.158608098 0.155076409 0.324536811
C 0.853209081 0.861065914 0.680677067
C 0.092672048 0.075210521 0.208905360
C 0.919157497 0.941077084 0.796298973
C 0.120934212 0.195861479 0.139236490
C 0.891093914 0.820374293 0.866001881
C 0.055484347 0.115212764 0.025374413
C 0.956560310 0.901052758 0.979851348
C 0.928861444 0.780293818 0.050883897
C 0.083106748 0.235960362 0.954301440
C 0.993914538 0.861446222 0.163469762
C 0.017773832 0.154916963 0.841686124
C 0.966298289 0.740177602 0.236117543
C 0.045118482 0.276193904 0.768943448
C 0.031935364 0.823128495 0.346555979
C 0.979466046 0.193154883 0.658514471
C 0.542609745 0.564818079 0.374850299
C 0.468495545 0.451480511 0.622624787
C 0.480522821 0.677507122 0.289920802
C 0.529844865 0.338505082 0.707437167
C 0.499516603 0.588729237 0.189302989
C 0.509689637 0.426834329 0.807744691
C 0.441188636 0.702105638 0.102467812
C 0.567540661 0.313280471 0.894497485
C 0.462441677 0.614790804 0.004014496
C 0.545659105 0.400357857 0.992760825
C 0.603460458 0.286486627 0.080697349
C 0.404624843 0.728554375 0.916025092
C 0.583293771 0.375020009 0.178221653
C 0.425381100 0.640250041 0.818636739
C 0.645352871 0.263199234 0.268822610
C 0.363952034 0.752260411 0.728101784
C 0.626247480 0.355701464 0.364331808
C 0.384382244 0.660314461 0.632926730
H 0.180872251 0.096740582 0.479386477
H 0.830912688 0.919300820 0.525772272
H 0.232299332 0.315909316 0.357919323
H 0.779570680 0.700191382 0.647356377
H 0.195501475 0.356159143 0.173494586
H 0.816689155 0.659975943 0.831776602
H 0.854720094 0.619725118 0.016739176
H 0.157270157 0.396517765 0.988412815
H 0.891763480 0.580110790 0.201699210
H 0.119559737 0.436332512 0.803280099
H 0.009209876 0.728445147 0.400675739
H 0.002074339 0.287833428 0.604350332
H 0.528343910 0.635568471 0.451357550
H 0.483675174 0.381166645 0.546347318
H 0.415719685 0.836711796 0.297669453
H 0.595063293 0.179542733 0.699859493
H 0.377944650 0.862392155 0.110895779
H 0.631070697 0.153151209 0.886182637
H 0.667027738 0.126353427 0.072435624
H 0.340965793 0.888634329 0.924213294
H 0.709449712 0.103593623 0.260563380
H 0.299470465 0.911631878 0.736194969
H 0.674925366 0.269222895 0.433014008
H 0.336335560 0.746948278 0.564301262

CELL_PARAMETERS {alat}
1.000000000000d0 0.000000000000d0 0.000000000000d0
0.033561783454d0 0.768691219601d0 0.000000000000d0
-0.669898611003d0 -0.304275780475d0 1.533087234438d0

K_POINTS crystal
288
0.00000000 0.00000000 0.00000000 3.472222e-03
0.00000000 0.00000000 0.16666667 3.472222e-03
0.00000000 0.00000000 0.33333333 3.472222e-03
0.00000000 0.00000000 0.50000000 3.472222e-03
0.00000000 0.00000000 0.66666667 3.472222e-03
0.00000000 0.00000000 0.83333333 3.472222e-03
0.00000000 0.12500000 0.00000000 3.472222e-03
0.00000000 0.12500000 0.16666667 3.472222e-03
0.00000000 0.12500000 0.33333333 3.472222e-03
0.00000000 0.12500000 0.50000000 3.472222e-03
0.00000000 0.12500000 0.66666667 3.472222e-03
0.00000000 0.12500000 0.83333333 3.472222e-03
0.00000000 0.25000000 0.00000000 3.472222e-03
0.00000000 0.25000000 0.16666667 3.472222e-03
0.00000000 0.25000000 0.33333333 3.472222e-03
0.00000000 0.25000000 0.50000000 3.472222e-03
0.00000000 0.25000000 0.66666667 3.472222e-03
0.00000000 0.25000000 0.83333333 3.472222e-03
0.00000000 0.37500000 0.00000000 3.472222e-03
0.00000000 0.37500000 0.16666667 3.472222e-03
0.00000000 0.37500000 0.33333333 3.472222e-03
0.00000000 0.37500000 0.50000000 3.472222e-03
0.00000000 0.37500000 0.66666667 3.472222e-03
0.00000000 0.37500000 0.83333333 3.472222e-03
0.00000000 0.50000000 0.00000000 3.472222e-03
0.00000000 0.50000000 0.16666667 3.472222e-03
0.00000000 0.50000000 0.33333333 3.472222e-03
0.00000000 0.50000000 0.50000000 3.472222e-03
0.00000000 0.50000000 0.66666667 3.472222e-03
0.00000000 0.50000000 0.83333333 3.472222e-03
0.00000000 0.62500000 0.00000000 3.472222e-03
0.00000000 0.62500000 0.16666667 3.472222e-03
0.00000000 0.62500000 0.33333333 3.472222e-03
0.00000000 0.62500000 0.50000000 3.472222e-03
0.00000000 0.62500000 0.66666667 3.472222e-03
0.00000000 0.62500000 0.83333333 3.472222e-03
0.00000000 0.75000000 0.00000000 3.472222e-03
0.00000000 0.75000000 0.16666667 3.472222e-03
0.00000000 0.75000000 0.33333333 3.472222e-03
0.00000000 0.75000000 0.50000000 3.472222e-03
................................
---------------------------------------------------------------------------

tetra.win
----------------------------------------------------------------------------
exclude_bands = 1:82,85:150
num_wann = 2
num_bands = 2
num_iter = 500
!dis_win_max = 2
!dis_win_min = 2
!dis_froz_max = 1
!dis_froz_min = 1
!dis_num_iter = 50
!dis_mix_ratio = 1.0
kmesh_tol = 0.00001

write_hr= .true.
write_hr_diag=.true.
wannier_plot= .true.
wannier_plot_format = cube
wannier_plot_mode = crystal
wannier_plot_radius = 5
wannier_plot_scale = 1.0
wannier_plot_supercell = 3
wannier_plot_list = 1-2
bands_plot =.true.
restart = plot

write_xyz=.TRUE.
!gamma_only=.TRUE.

begin kpoint_path
A 0.0000 0.5000 0.00000 G 0.000000 0.000000 0.00000
G 0.000000 0.00000 0.00000 B 0.500000 0.00000 0.0000
B 0.50000 0.00000 0.0000 C 0.50000 0.50000 0.0000
C 0.50000 0.50000 0.0000 G 0.0000 0.0000 0.00000
G 0.0000 0.0000 0.00000 D 0.50000 0.0000 0.50000
D 0.50000 0.00000 0.5000 E 0.5000 0.500000 0.5000
E 0.50000 0.500000 0.5000 G 0.00000 0.00000 0.0000
G 0.00000 0.000000 0.0000 F 0.00000 0.00000 0.5000
F 0.00000 0.000000 0.5000 H 0.00000 0.50000 0.5000
H 0.00000 0.5000 0.5000 G 0.00000 0.00000 0.0000
end kpoint_path

begin atoms_frac
C 0.12959 0.03292 0.39138
C 0.88207 0.98320 0.61377
C 0.15861 0.15508 0.32454
C 0.85321 0.86107 0.68068
C 0.09267 0.07521 0.20891
C 0.91916 0.94108 0.79630
C 0.12093 0.19586 0.13924
C 0.89109 0.82037 0.86600
C 0.05548 0.11521 0.02537
C 0.95656 0.90105 0.97985
C 0.92886 0.78029 0.05088
C 0.08311 0.23596 0.95430
C 0.99391 0.86145 0.16347
C 0.01777 0.15492 0.84169
C 0.96630 0.74018 0.23612
C 0.04512 0.27619 0.76894
C 0.03194 0.82313 0.34656
C 0.97947 0.19315 0.65851
C 0.54261 0.56482 0.37485
C 0.46850 0.45148 0.62262
C 0.48052 0.67751 0.28992
C 0.52984 0.33851 0.70744
C 0.49952 0.58873 0.18930
C 0.50969 0.42683 0.80774
C 0.44119 0.70211 0.10247
C 0.56754 0.31328 0.89450
C 0.46244 0.61479 0.00401
C 0.54566 0.40036 0.99276
C 0.60346 0.28649 0.08070
C 0.40462 0.72855 0.91603
C 0.58329 0.37502 0.17822
C 0.42538 0.64025 0.81864
C 0.64535 0.26320 0.26882
C 0.36395 0.75226 0.72810
C 0.62625 0.35570 0.36433
C 0.38438 0.66031 0.63293
H 0.18087 0.09674 0.47939
H 0.83091 0.91930 0.52577
H 0.23230 0.31591 0.35792
H 0.77957 0.70019 0.64736
H 0.19550 0.35616 0.17349
H 0.81669 0.65998 0.83178
H 0.85472 0.61973 0.01674
H 0.15727 0.39652 0.98841
H 0.89176 0.58011 0.20170
H 0.11956 0.43633 0.80328
H 0.00921 0.72845 0.40068
H 0.00207 0.28783 0.60435
H 0.52834 0.63557 0.45136
H 0.48368 0.38117 0.54635
H 0.41572 0.83671 0.29767
H 0.59506 0.17954 0.69986
H 0.37794 0.86239 0.11090
H 0.63107 0.15315 0.88618
H 0.66703 0.12635 0.07244
H 0.34097 0.88863 0.92421
H 0.70945 0.10359 0.26056
H 0.29947 0.91163 0.73619
H 0.67493 0.26922 0.43301
H 0.33634 0.74695 0.56430
end atoms_frac

begin projections
random
end projections

begin unit_cell_cart
7.980000 0.000000 0.000000
0.267823 6.134156 0.000000
-5.345791 -2.428121 12.234036
end unit_cell_cart

mp_grid : 6 8 6

begin kpoints
0.00000000 0.00000000 0.00000000
0.00000000 0.00000000 0.16666667
0.00000000 0.00000000 0.33333333
0.00000000 0.00000000 0.50000000
0.00000000 0.00000000 0.66666667
0.00000000 0.00000000 0.83333333
0.00000000 0.12500000 0.00000000
0.00000000 0.12500000 0.16666667
0.00000000 0.12500000 0.33333333
0.00000000 0.12500000 0.50000000
0.00000000 0.12500000 0.66666667
0.00000000 0.12500000 0.83333333
0.00000000 0.25000000 0.00000000
0.00000000 0.25000000 0.16666667
0.00000000 0.25000000 0.33333333
0.00000000 0.25000000 0.50000000
0.00000000 0.25000000 0.66666667
0.00000000 0.25000000 0.83333333
0.00000000 0.37500000 0.00000000
0.00000000 0.37500000 0.16666667
0.00000000 0.37500000 0.33333333
0.00000000 0.37500000 0.50000000
0.00000000 0.37500000 0.66666667
0.00000000 0.37500000 0.83333333
0.00000000 0.50000000 0.00000000
0.00000000 0.50000000 0.16666667
0.00000000 0.50000000 0.33333333
0.00000000 0.50000000 0.50000000
..............................
end kpoints
--------------------------------------------------------------
Attachments
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图片1.png
图片1.png (127.08 KiB) Viewed 702 times

hlee
Posts: 308
Joined: Thu Aug 03, 2017 12:24 pm
Affiliation: The University of Texas at Austin

Re: About the projections

Post by hlee »

Dear Jisheng:

I don't know about Gaussians, but Wannier functions are not the eigenstates of Hamiltonian H(k).

Additionally, as I said, in general, random projections are not good initial projections, but in your specific case in which only a few bands constitute a band manifold of interest, it is non-trivial to choose (or guess) the (good) initial projections and it is worth trying the random projections instead.

Sincerely,

H. Lee

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