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Band dispersion of the narrow-bandgap semiconductor black phosphorus
Date: 2022/07/04 20:45
Name: Hiroaki Tanaka   <hiroaki-tanaka@issp.u-tokyo.ac.jp>

Dear users,

Now I am trying to obtain the band dispersion of black phosphorus, but the result was semimetallic.
Although I know that the underestimation of bandgap frequently happens in DFT calculations, is there any good method to get gapped dispersion in OpenMX?

The following is the structure of black phosphorus used in my calculations.

Species.Number 1
<Definition.of.Atomic.Species
P P7.0-s2p2d1f1 P_PBE19
Definition.of.Atomic.Species>

Atoms.Number 4
Atoms.SpeciesAndCoordinates.Unit FRAC
<Atoms.SpeciesAndCoordinates
1 P 0.10393265328426 0.89606754472603 0.07575344745417 2.5 2.5
2 P 0.39606735987223 0.60393246798624 0.57575344644717 2.5 2.5
3 P 0.60393261887381 0.39606751020133 0.42424655168211 2.5 2.5
4 P 0.89606737042855 0.10393247916352 0.92424655450954 2.5 2.5
Atoms.SpeciesAndCoordinates>
Atoms.UnitVectors.Unit Ang
<Atoms.UnitVectors
1.6565 5.2365 0.000
1.6565 -5.2365 0.000
0.0000 0.0000 4.374
Atoms.UnitVectors>

Best regards,
Hiroaki Tanaka
メンテ
Page: [1]

Re: Band dispersion of the narrow-bandgap semiconductor black phosphorus ( No.1 )
Date: 2022/07/06 21:12
Name: Mehdi Vejdanihemmat  <m.vejdanih@gmail.com>

Dear Hiroaki,

Why don't you use DFT+U method?
http://www.openmx-square.org/openmx_man3.9/node105.html

Best regards,
Mehdi Vejdanihemmat
メンテ
Re: Band dispersion of the narrow-bandgap semiconductor black phosphorus ( No.2 )
Date: 2022/07/08 09:56
Name: Hiroaki Tanaka  <hiroaki-tanaka@issp.u-tokyo.ac.jp>

Dear Mehdi,

Thank you for your suggestion.

I already tried DFT+U method, but the result was the same.
Since the system is spin-degenerated, I think DFT+U method does not affect the electronic structure.

Best regards,
Hiroaki Tanaka
メンテ
Re: Band dispersion of the narrow-bandgap semiconductor black phosphorus ( No.3 )
Date: 2022/07/26 14:42
Name: T. Ozaki

Hi,

I wondered how you detemined the band gap of your system, since the gap closing seems to occur at low symmetry points
in the band dispersion.

On the other hands, using the structure optimized with the GGA-PBE, which was taken from Materiasl Project, I also performed
the calculation, and got a band gap of ~0.1 eV at the Y-point, which is consistent with Materiasl Project.
One way to have the band gap might be to use the structure optimized with the GGA-PBE, which has a bit longer lattice constants
compared to experimental values.

For your reference, the following is the input file used for the calculation.

Regards,

TO

----


System.CurrrentDirectory ./
System.Name phos
level.of.stdout 1
level.of.fileout 1

Species.Number 1
<Definition.of.Atomic.Species
P P7.0-s2p2d1f1 P_PBE19
Definition.of.Atomic.Species>

Atoms.Number 4
Atoms.SpeciesAndCoordinates.Unit Ang
<Atoms.SpeciesAndCoordinates
1 P -0.5499100 1.8853336 4.1585565 2.5 2.5
2 P 1.4842878 1.2859913 0.3938615 2.5 2.5
3 P -3.8975295 2.8716537 1.8823475 2.5 2.5
4 P 4.8319073 0.2996712 2.6700705 2.5 2.5
Atoms.SpeciesAndCoordinates>

Atoms.UnitVectors.Unit Ang
<Atoms.UnitVectors
5.8490062 0.0000000 0.0000000
-4.9146284 3.1713249 0.0000000
0.0000000 0.0000000 4.5524180
Atoms.UnitVectors>

scf.XcType GGA-PBE
scf.SpinPolarization off
scf.ElectronicTemperature 300.0
scf.energycutoff 220.0
scf.maxIter 100
scf.EigenvalueSolver band
scf.Kgrid 12 12 8
scf.Mixing.Type rmm-diisk
scf.Init.Mixing.Weight 0.05
scf.Min.Mixing.Weight 0.01
scf.Max.Mixing.Weight 0.30
scf.Mixing.History 25
scf.Mixing.StartPulay 15
scf.criterion 1.0e-7

MD.Type nomd
MD.maxIter 1
MD.TimeStep 1.0
MD.Opt.criterion 0.0003

Band.dispersion on # on|off, default=off
Band.Nkpath 9
<Band.kpath
45 0.2750173044 0.2750173044 0.5000000000 -0.2750173044 0.7249826956 0.0000000000 A0 C0
45 -0.2750173044 0.7249826956 0.0000000000 -0.2750173044 0.7249826956 0.5000000000 C0 E0
45 -0.2750173044 0.7249826956 0.5000000000 0.0000000000 0.0000000000 0.0000000000 E0 G
45 0.0000000000 0.0000000000 0.0000000000 0.0000000000 0.5000000000 0.5000000000 G R
45 0.0000000000 0.5000000000 0.5000000000 0.0000000000 0.5000000000 0.0000000000 R S
45 0.0000000000 0.5000000000 0.0000000000 0.2750173044 0.2750173044 0.0000000000 S Sigma0
45 0.2750173044 0.2750173044 0.0000000000 -0.5000000000 0.5000000000 0.5000000000 Sigma0 T
45 -0.5000000000 0.5000000000 0.5000000000 -0.5000000000 0.5000000000 0.0000000000 T Y
45 -0.5000000000 0.5000000000 0.0000000000 0.0000000000 0.0000000000 0.5000000000 Y Z
Band.kpath>

Dos.fileout on
Dos.Erange -8.0 8.0
Dos.Kgrid 24 24 16

メンテ
Re: Band dispersion of the narrow-bandgap semiconductor black phosphorus ( No.4 )
Date: 2022/07/29 22:14
Name: Hiroaki Tanaka  <hiroaki-tanaka@issp.u-tokyo.ac.jp>

Dear Prof. Ozaki,

I could reproduce small bandgap using the unit cell presented above.
Thank you for your advice!

Best regards,
Hiroaki Tanaka
メンテ

Page: [1]