[Wannier] Wannier functions for phosphorene

Vahid Askarpour vh261281 at dal.ca
Wed May 4 14:40:34 CEST 2016


Dear Wannier Users,

Further to my query concerning the large spread in the Wannier functions of Phosphorene, I have found that for this structure, even the spread of the 10 Wannier functions of the valence band are dependent upon the number of bands in the DFT calculation. I first used 16 bands in DFT, but for Wannier analysis, I excluded bands 11-16. I get the following spreads:

Final State
  WF centre and spread    1  (  0.032619, -0.001266,  1.071738 )     1.64069781
  WF centre and spread    2  (  1.664124,  2.180066,  1.073067 )     1.64160850
  WF centre and spread    3  (  0.849094,  1.087359,  2.031593 )     1.63889583
  WF centre and spread    4  (  0.853572,  3.270004,  0.113789 )     1.64289554
  WF centre and spread    5  (  1.659337,  2.256282, -0.306527 )     2.04709099
  WF centre and spread    6  (  2.480884,  3.258792,  0.108274 )     1.64433084
  WF centre and spread    7  (  1.664159,  2.091514,  2.448504 )     2.06656396
  WF centre and spread    8  (  0.031649,  0.083655,  2.447674 )     2.06578072
  WF centre and spread    9  (  2.480164,  1.088250,  2.030320 )     1.64259413
  WF centre and spread   10  (  3.294805, -0.083020, -0.303269 )     2.06940059
  Sum of centres and spreads ( 15.010408, 15.231636, 10.715164 )    18.09985893

Then I included 24 bands in DFT, excluded 11-24 and got the following:

 Final State
  WF centre and spread    1  (  3.232235,  4.221211,  1.464594 )     1.53600401
  WF centre and spread    2  (  2.225527,  3.097919,  0.164328 )     2.52306202
  WF centre and spread    3  (  3.257786, -0.033530, -0.233035 )     1.95662307
  WF centre and spread    4  (  1.531352,  2.622350, -0.045056 )     3.12446143
  WF centre and spread    5  ( -2.120340,  0.967092,  1.968996 )     2.09950243
  WF centre and spread    6  (  1.084863,  2.870595, -0.113348 )     1.91457968
  WF centre and spread    7  (  1.879941,  2.425977,  0.961497 )     1.48248823
  WF centre and spread    8  (  2.304219,  1.536780,  2.222690 )     3.81535194
  WF centre and spread    9  (  3.225247,  0.150051,  2.122159 )     2.92019866
  WF centre and spread   10  (  1.636450,  1.739929,  2.256592 )     4.30047110
  Sum of centres and spreads ( 18.257280, 19.598375, 10.769417 )    25.67274257

Since I am not including conduction bands in the analysis (no disentanglement), I expect to get almost the same outcome. Or should I?

I would appreciate any hint as to what I am missing here.

Thank you,
Vahid



> On May 1, 2016, at 9:07 AM, Vahid Askarpour <vh261281 at dal.ca> wrote:
> 
> Dear Wannier Users,
> 
> In the Wannier forum (http://mailman.qe-forge.org/pipermail/wannier/2015-June/001041.html),
> it is suggested that Wannier functions can be generated for phosphorene (10 valence+6 conduction) using sp3 projection but I noticed that the spreads are large. I have included the .win file at the end. The windows are consistent with the energy values in the .eig file.
> 
> Final State
> WF centre and spread    1  (  0.058106,  0.364134,  2.203320 )     6.42369489
> WF centre and spread    2  (  0.363382,  0.029268,  1.768449 )     5.62174328
> WF centre and spread    3  ( -0.172524,  0.579602,  1.691755 )     4.81604151
> WF centre and spread    4  ( -0.341139,  0.008715,  2.377388 )     2.87367367
> WF centre and spread    5  (  0.360205,  4.104384,  0.301798 )     6.77275356
> WF centre and spread    6  (  0.278114,  3.655974, -0.149721 )     9.99901839
> WF centre and spread    7  ( -0.333338,  4.269468, -0.284828 )     2.58433508
> WF centre and spread    8  ( -0.275708,  3.519428,  0.280193 )     5.61317656
> WF centre and spread    9  (  1.991154,  2.086262,  2.485397 )     3.43708409
> WF centre and spread   10  (  1.873663,  1.416381,  1.724219 )     4.87405020
> WF centre and spread   11  (  1.241545,  1.999978,  1.887498 )     8.12099445
> WF centre and spread   12  (  1.156877,  1.269852,  2.309786 )     6.38132297
> WF centre and spread   13  (  1.763745,  2.722892,  0.508121 )     5.00442371
> WF centre and spread   14  (  2.010286,  2.198255, -0.297114 )     2.96185255
> WF centre and spread   15  (  1.402020,  2.786170, -0.099259 )     9.53353884
> WF centre and spread   16  (  1.312590,  2.118950,  0.458781 )     5.36088784
> Sum of centres and spreads ( 12.688979, 33.129715, 17.165781 )    90.37859158
> 
> Spreads (Ang^2)       Omega I      =    50.276462026
> ================       Omega D      =     0.742952236
> Omega OD     =    39.359177316
> Final Spread (Ang^2)       Omega Total  =    90.378591577
> 
> 
> I do get very small spreads when I consider only the valence bands though. I would appreciate any suggestions as to how the spreads can be minimized.
> 
> Thank you,
> 
> Vahid
> 
> Vahid Askarpour
> Department of Physics and Atmospheric Science
> Dalhousie University
> Halifax, NS Canada
> 
> 
> num_wann        =  16
> num_iter        = 100
> dis_win_max=6
> dis_froz_max= -0.1
> 
> begin atoms_frac
> P        0.010000000   0.081190508   0.152288548
> P        0.010000000   0.918809429   0.001303918
> P        0.510000000   0.418809492   0.152288548
> P        0.510000000   0.581190571   0.001303918
> end atoms_frac
> 
> begin projections
> P:sp3
> end projections
> 
> begin unit_cell_cart
> bohr
> 6.166298 0 0 
> 0 8.2238498 0
> 0 0 26.362484
> end_unit_cell_cart
> 
> mp_grid : 10 10  1
> 
> begin kpoints
> 0.0000000000000 0.0000000000000 0.0000000000000 0.0100000000000
> 0.0000000000000 0.1000000000000 0.0000000000000 0.0100000000000
> 0.0000000000000 0.2000000000000 0.0000000000000 0.0100000000000
> 0.0000000000000 0.3000000000000 0.0000000000000 0.0100000000000
> 0.0000000000000 0.4000000000000 0.0000000000000 0.0100000000000
> 0.0000000000000 0.5000000000000 0.0000000000000 0.0100000000000
> …..
> …..
> end kpoints
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