Dear Xiaoming,

I've read your last e-mail, seen the bands for bulk Mo, and ran out of 
suggestions. Hopefully other members have already worked on the system and can 
provide more detailed input. Your structures look quite symmetric already.



 Best regards,

-Salvador





________________________________
From: [email protected] <[email protected]> on behalf of Xiaoming 
Wang <[email protected]>
Sent: Wednesday, May 6, 2015 2:49 PM
To: [email protected]
Subject: RE: [SIESTA-L] Band structure of MoSe2

Dear Salvador,

Thanks so much for your advice and comments! I have compared the band structure 
of bulk Mo from ELK and Siesta with different pseudos (see the attached 
figure). In the figure, CA_07 is the pseudo from 
http://charter.cnf.cornell.edu/psp_files/Mo.psf<https://urldefense.proofpoint.com/v2/url?u=http-3A__charter.cnf.cornell.edu_psp-5Ffiles_Mo.psf&d=AwMFAg&c=JL-fUnQvtjNLb7dA39cQUcqmjBVITE8MbOdX7Lx6ge8&r=n_Y76F1vumEs9EYNHN2gzA5FD9jzyPhrzl3eOzxCHIQ&m=8Gk03Ty8ofFbSZtDYEb4s2VF5EJvY-8kxxy1llS4dmk&s=w_kuCUZlPV9rbDAZtMWyFlmUO_r5Whe6XdxRIpep2Hw&e=>,
 CA_12 from 
http://departments.icmab.es/leem/siesta/Databases/Pseudopotentials/Pseudos_LDA_Abinit/Mo_html/Mo.psf<https://urldefense.proofpoint.com/v2/url?u=http-3A__departments.icmab.es_leem_siesta_Databases_Pseudopotentials_Pseudos-5FLDA-5FAbinit_Mo-5Fhtml_Mo.psf&d=AwMFAg&c=JL-fUnQvtjNLb7dA39cQUcqmjBVITE8MbOdX7Lx6ge8&r=n_Y76F1vumEs9EYNHN2gzA5FD9jzyPhrzl3eOzxCHIQ&m=8Gk03Ty8ofFbSZtDYEb4s2VF5EJvY-8kxxy1llS4dmk&s=l13_3_Z8CMODgL-L1VeJuQNyR9DZXSLG0eUg7C085_c&e=>,
 and I also tried the pseudo by A. Khein and D.C. Allan as you suggested, the 
result of which is very close to that of CA_12, thus, I don’t show in the Fig.  
As seen from the Fig, I think both of them are acceptable as for bulk band 
structure calculations, but there are some discrepancies about the lattice 
constant. The energy shift of 50 meV was chosen for the calculations, I also 
tried 10 meV of ES, but nearly no significant change can be found. I didn’t 
test the bulk Se calculations, as you have done this.  The relaxed structure is 
attached below which is calculated by using CA_07 of Mo pseudo and Se pseudo 
from Comput. Mater. Sci. , 98 (2015) 372-389,  I think it is 
hexagonal-symmetric, but the K point bands problem still not fixed. And I 
cannot understand how to re-symmetrize the relaxed structure, can you please 
explain a little more? By the way, as you mentioned black phosphorus, I also 
did this kind of calculations before, the problem is not only the gap change 
with some strain as you said but also there are some split about the bands, it 
seems that I turned on the SOC during the calculation. Is this also the result 
of not proper pseudos?

Structure of MoSe2:
          3.248660546       0.000000000       0.000000000
         -1.624330273       2.813422563       0.000000000
          0.000000000       0.000000000      13.000000000
           3
  1    42       0.333333334       0.666666664       0.505632878
  2    34       0.666666667       0.333333332       0.632853521
  2    34       0.666666667       0.333333332       0.378419220


Best regards,

Xiaoming



From: [email protected] [mailto:[email protected]] On Behalf Of 
Salvador Barraza-Lopez
Sent: Friday, May 1, 2015 10:08 AM
To: [email protected]
Subject: RE: [SIESTA-L] Band structure of MoSe2


Dear Xiaoming,

Okay, I see. I have some further comments.



You set a relaxation with cell parameters evolving: That setting could be 
responsible for shifting valleys away from the K-point (this similar to the 
effect of K-point shifting induced by strain; this has been discussed 
extensively on other materials with similar structural symmetries and where the 
K-point is special, such as graphene; this is a known effect). So you want to 
re-symmetrize the relaxed structure, especially if the lattice vectors change. 
This may fix the issue near K.



In addition, there is no Mo pseudo on the article you mention, only Se. WSe2 is 
shown as Fig 15 there. Note that there are some discrepancies with VASP results 
on that Figure, and on the bands for W in Figure 10 there as well, but they are 
not nearly as dramatic as the ones you show for MoSe2.



Once your MoSe2 structures are strictly hexagonal-symmetric and fine, may I 
suggest that you compare lattice parameters and band structures for bulk Mo 
with SIESTA and with another code (ELK or Wien2K -all electron codes- could 
work for this purpose). You may want to do the same for Se (we did this for Se 
on the paper you mention, and the datasets are attached as a PDF file here: 
http://www.sciencedirect.com/science/article/pii/S2352340914000353<https://urldefense.proofpoint.com/v2/url?u=http-3A__www.sciencedirect.com_science_article_pii_S2352340914000353&d=AwMFAg&c=JL-fUnQvtjNLb7dA39cQUcqmjBVITE8MbOdX7Lx6ge8&r=n_Y76F1vumEs9EYNHN2gzA5FD9jzyPhrzl3eOzxCHIQ&m=8Gk03Ty8ofFbSZtDYEb4s2VF5EJvY-8kxxy1llS4dmk&s=Ij4NECQWU-Trdrz4aRYSQCDT_bqt78DrJhnrJkdxwy4&e=>
 ; we did not work with Mo though).



 Here, you have to recall as well that band structures evolve dramatically with 
"strain" in 2D materials; so if your lattice constant is 1% off with respect to 
ELK or Wien2K (ie, your optimal parameters are "strained" as seen from results 
using other codes), you may be seeing gap closings as large as 5% with respect 
to the results of that code as well as other effects in the bands (this is 
another well-known drastic effect of lattice parameters in 2D; this is 
especially seen on black phosphorus).



So to help with Mo, another pseudo you want to try out is the Troullier-Martins 
one generated by A. Khein and D.C. Allan:

http://www.abinit.org/downloads/psp-links/psp-links/lda_tm<https://urldefense.proofpoint.com/v2/url?u=http-3A__www.abinit.org_downloads_psp-2Dlinks_psp-2Dlinks_lda-5Ftm&d=AwMFAg&c=JL-fUnQvtjNLb7dA39cQUcqmjBVITE8MbOdX7Lx6ge8&r=n_Y76F1vumEs9EYNHN2gzA5FD9jzyPhrzl3eOzxCHIQ&m=8Gk03Ty8ofFbSZtDYEb4s2VF5EJvY-8kxxy1llS4dmk&s=8zhmqZUEg2WPXmeSEEg_Rkmb4K1O0sO_HeDAbeiAMqI&e=>



For example, the radii in your LDA Mo INP file would have to be:

2.8930462, 3.1973167, and 2.1974630, as found here:

ftp://ftp.abinit.org/pub/abinitio/Psps/LDA_TM.psps/42/42mo.pspnc<https://urldefense.proofpoint.com/v2/url?u=ftp-3A__ftp.abinit.org_pub_abinitio_Psps_LDA-5FTM.psps_42_42mo.pspnc&d=AwMFAg&c=JL-fUnQvtjNLb7dA39cQUcqmjBVITE8MbOdX7Lx6ge8&r=n_Y76F1vumEs9EYNHN2gzA5FD9jzyPhrzl3eOzxCHIQ&m=8Gk03Ty8ofFbSZtDYEb4s2VF5EJvY-8kxxy1llS4dmk&s=C2fXoFGHuY6Nv-Xcaanc1UYKkOYfem8Fh2EZJfvIh-s&e=>

That procedure worked for Pt, but you want to see if it does the job for you.



For Mo LDA, these radii currently are 2.75000,  2.89000, and   2.49000, as it 
can be seen on the INP file that you've used at

http://departments.icmab.es/leem/siesta/Databases/Pseudopotentials/Pseudos_LDA_Abinit/Mo_html/Mo.html<https://urldefense.proofpoint.com/v2/url?u=http-3A__departments.icmab.es_leem_siesta_Databases_Pseudopotentials_Pseudos-5FLDA-5FAbinit_Mo-5Fhtml_Mo.html&d=AwMFAg&c=JL-fUnQvtjNLb7dA39cQUcqmjBVITE8MbOdX7Lx6ge8&r=n_Y76F1vumEs9EYNHN2gzA5FD9jzyPhrzl3eOzxCHIQ&m=8Gk03Ty8ofFbSZtDYEb4s2VF5EJvY-8kxxy1llS4dmk&s=MXVJyukpicR0AUlYeUOMd4Q52ldd7IqzTmQZ_c0-Eco&e=>

   pg                 -- file generated from Mo ps file
        tm2
   Mo   ca
     0.000     0.000     0.000     0.000     0.000     0.000
    8    4
    5    0     1.000     0.000    #5s
    5    1     0.000     0.000    #5p
    4    2     5.000     0.000    #4d
    4    3     0.000     0.000    #4f
   2.75000   2.89000   2.49000   2.49000   0.00000   0.00000

#23456789012345678901234567890123456789012345678901234567890      Ruler



you can leave the last channel to be 2.49, that f-channel will not change 
things for you.)




For layered materials, we have also noticed some discrepancies between bulk and 
single-layer results; here is where basis size could also play a role, and 
hence my previous question.



So once again, I would ensure the structure is properly symmetric after 
relaxation, and I would try to reproduce the properties of bulk Mo first, and 
then use that pseudo for MoSe2: There is some additional work ahead for you.



If the symmetries are correct, then you've got to work with the Mo pseudo; 
there will probably be no way around it.



Hopefully this e-mail sets a solid pathway for you to look at. I will be happy 
to learn on your progress.



Best regards,

-Salvador



________________________________
From: [email protected]<mailto:[email protected]> 
<[email protected]<mailto:[email protected]>> on behalf of Xiaoming 
Wang <[email protected]<mailto:[email protected]>>
Sent: Thursday, April 30, 2015 9:25 PM
To: [email protected]<mailto:[email protected]>
Subject: RE: [SIESTA-L] Band structure of MoSe2

Hi  Salvador,

Thanks for your reply. Changing  the shifts to 0.0 0.0 0.0 actually can’t solve 
the problem. And I have also checked the basis sizes of SZ, SZP, DZ  but not 
beyond DZP,  the ‘non-differential’ point still exists. By the way, I have 
rechecked the band structure, the ‘non-differential’ points can actually also 
be observed at M(0.0, 0.5, 0.0) k-point,  but not as obvious as that of 
K(0.333, 0.333, 0.0) point.
I havn’t tried the bulk band structure yet.

Best regards,

Xiaoming

From: [email protected]<mailto:[email protected]> 
[mailto:[email protected]] On Behalf Of Salvador Barraza-Lopez
Sent: Thursday, April 30, 2015 9:46 PM
To: [email protected]<mailto:[email protected]>
Subject: RE: [SIESTA-L] Band structure of MoSe2


The only thing that is evident to me at this moment is that you are avoiding 
the K-points in your k-point sampling; as indicated by Marco Verisimo a number 
of years ago your number of k-points must be a multiple of three, which it is, 
but the shift by 0.5, 0.5 is driving the sampling away from the K-points and 
avoiding them... Hopefully bringing the shifts to 0.0 0.0 0.0 solves the 
"differential," or the missing of the K-point on the conduction band.



I would work on the Mo pseudo a little more; and have you checked the effect of 
the basis size as well? Do your pseudos give you a reasonable bulk band 
structure?



Best regards,

-Salvador



________________________________
From: [email protected]<mailto:[email protected]> 
<[email protected]<mailto:[email protected]>> on behalf of Xiaoming 
Wang <[email protected]<mailto:[email protected]>>
Sent: Thursday, April 30, 2015 7:23 PM
To: [email protected]<mailto:[email protected]>
Subject: [SIESTA-L] Band structure of MoSe2

Dear Siesta users,

Recently, I’m trying to  calculate the band structure of monolayer MoSe2.  
However, when I plotting the bands, the band curves at K point are not at 
maximum or minimum, which should be. And there seems a non-differential point 
at K along the bands. The band structure of MoSe2 is attached, the 
non-differential point is more obvious at the lowest two bands shown in the 
Fig. Both LDA and PBE functionals give this strange phenomenon. I have tried to 
tune many parameters, but failed to get good result. Can anyone help me with 
the problem?
By the way, I have tried pseudopotentials from Siesta website and from 
http://charter.cnf.cornell.edu/<https://urldefense.proofpoint.com/v2/url?u=http-3A__charter.cnf.cornell.edu_&d=AwMFAg&c=JL-fUnQvtjNLb7dA39cQUcqmjBVITE8MbOdX7Lx6ge8&r=n_Y76F1vumEs9EYNHN2gzA5FD9jzyPhrzl3eOzxCHIQ&m=NaDRSvcZImjiuqSJSGFoSEOGLfumFBd6_fRZa0Hs0Bs&s=UQq2ZNZfUJL5kmP2F3B0GlcPmhnT4dJuFcGi_NHsl2Q&e=>,
 and also used the recently published pps of Comput. Mater. Sci. , 98 (2015) 
372-389. I also changed the energshift, meshcutoff, and k point mesh. But none 
of them can resolve the problem. Below are the input files for relaxation and 
band structure calculations. Any comment or advice are highly appreciated.


fdf for relaxation:

# General System Descriptors

SystemName              mose2
SystemLabel             mose2

NumberOfAtoms           3
NumberOfSpecies         2

%block ChemicalSpeciesLabel
1  42  Mo
2  34  Se
%endblock ChemicalSpeciesLabel

PAO.EnergyShift         50 meV
PAO.BasisSize           DZP

# Structure and K-sampling

LatticeConstant         1.00 Ang
%block LatticeParameters
3.25 3.25 20.00 90. 90. 120.
%endblock LatticeParameters

AtomicCoordinatesFormat Fractional
AtomicCoorFormatOut     Ang
%block AtomicCoordinatesAndAtomicSpecies
       0.333333333   0.666666670   0.505669950  1
       0.666666667   0.333333330   0.625537344  2
       0.666666667   0.333333330   0.385811946  2
%endblock AtomicCoordinatesAndAtomicSpecies

%block kgrid_Monkhorst_Pack
  12  0  0  0.5
   0 12  0  0.5
   0  0  1  0.0
%endblock kgrid_Monkhorst_Pack

# DFT

XC.functional           LDA
XC.authors              CA
SpinPolarized           false
MaxSCFIterations        200
DM.MixingWeight         0.25
DM.NumberPulay          3
DM.Tolerance            1.d-5
MeshCutoff              300 Ry
SolutionMethod          diagon
ElectronicTemperature   300.0 K

# MD and Relaxations

MD.TypeOfRun            CG
MD.VariableCell         T
MD.MaxForceTol          0.01 eV/Ang
MD.MaxStressTol         0.1 GPa
MD.NumCGsteps           200
MD.MaxCGDispl           0.1 Ang
MD.RelaxCellOnly        F

%block GeometryConstraints
   stress 3 4 5 6
%endblock GeometryConstraints

# Output options

WriteCoorInitial        true
WriteCoorStep           true
WriteForces             true
WriteKpoints            false
WriteEigenvalues        false
WriteKbands             false
WriteBands              false
WriteMullikenPop        0
WriteWaveFunction       false
WriteCoorXmol           true
WriteCoorCerius         false
WriteMDCoorXmol         true
WriteMDhistory          true
WriteMDXmol             true
WriteDM                 true

fdf for band structure:
# General System Descriptors

SystemName             mose2
SystemLabel             mose2

NumberOfAtoms           3
NumberOfSpecies         2
%block ChemicalSpeciesLabel
1  42  Mo
2  34  Se
%endblock ChemicalSpeciesLabel

PAO.BasisSize           DZP
PAO.EnergyShift         50 meV

# Structure and K-sampling

LatticeConstant         1.00 Ang
%block LatticeParameters
3.16 3.16 13.00 90. 90. 120.
%endblock LatticeParameters

AtomicCoordinatesFormat Fractional
AtomicCoorFormatOut     Ang
%block AtomicCoordinatesAndAtomicSpecies
       0.333333333   0.666666670   0.505669950  1
       0.666666667   0.333333330   0.625537344  2
       0.666666667   0.333333330   0.385811946  2
%endblock AtomicCoordinatesAndAtomicSpecies

%block kgrid_Monkhorst_Pack
  24  0  0  0.5
   0 24  0  0.5
   0  0  1  0.0
%endblock kgrid_Monkhorst_Pack

# DFT

XC.functional           LDA
XC.authors              CA
SpinPolarized           false
MaxSCFIterations        200
DM.MixingWeight         0.25
DM.NumberPulay          3
DM.Tolerance            1.d-5
MeshCutoff              300 Ry
SolutionMethod          diagon
ElectronicTemperature   300.0 K

# Output options

WriteCoorInitial        true
WriteCoorStep           true
WriteForces             true
WriteKpoints            false
WriteEigenvalues        false
WriteKbands             false
WriteBands              false
WriteMullikenPop        0
WriteWaveFunction       false
WriteCoorXmol           true
WriteCoorCerius         false
WriteMDCoorXmol         true
WriteMDhistory          true
WriteMDXmol             true
WriteDM                 true
UseStructFile           T

BandLinesScale ReciprocalLatticeVectors

%block BandLines
1   0.0000  0.0000 0.0000  \Gamma
70  0.0000  0.5000 0.0000  M
40  0.3333  0.3333 0.0000  K
80  0.0000  0.0000 0.0000  \Gamma
%endblock BandLines




Best regards,

Xiaoming Wang
IAMDN, Rutgers

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