Entry: bf1934cc-3cff-49eb-8f6a-3a5b38669cdc

Entry type
VASP
Authors
A. de Lelis Araújo, A. Fazzio, F. Crasto de Lima, P.H. Sophia
Contact
Description
Ga2S2/c687ffb8a35a08b2 Bilayer (040atoms / θ=59.979º)                    

The Dataset titled 'Twisted 2D van der Waals Homo and Hetero Bilayers' contains electronic structure and structural optimization calculations for twisted van der Waals bilayers, systematically generated from 63 experimentally reported monolayers. It includes both homo- and hetero-bilayers across a wide range of twist angles, covering a rich configurational space relevant to twistronics, slidetronics, and 2D materials design.

Using the open-source Python framework SAMBA (Simulation and Automated Methods for Bilayer Analysis) [REF], more than 18,000 commensurate bilayers were generated with low lattice mismatch and diverse twist angles. This Dataset provides DFT calculations and relaxed structures for a representative subset of these systems, and it will continue to expand over time.

Available data include band structures, density of states, structural relaxations with optimal interlayer distance and stacking alignment, binding and sliding energies, work function, ionization potential, electron affinity, charge transfer (via Bader analysis), space-group and point-group classifications, twist angle, and lattice mismatch.

All results are organized in .json files with unique identifiers and metadata, designed for high-throughput screening, machine-learning workflows, and the accelerated discovery of 2D materials.

🔗 Dataset: Twisted 2D van der Waals Homo and Hetero Bilayers

🔗 All generated bilayers:
Access to all 18,000+ twisted bilayers generated by SAMBA code, and to the .json files of this database

🔗 Related article:
Title: A high-throughput framework and database for twisted 2D van der Waals bilayers
DOI: 10.1038/s41524-025-01892-z

🔗 SAMBA (Structure Generation + High-Throughput DFT Workflow):
GitHub repository and Tutorial for the SAMBA code
Keywords
twisted, bilayer, van der waals, vdW, high throughput, dft, data base, twistronic, slidetronic, monolayer, 2D materials
Dataset
Twisted 2D van der Waals Homo and Hetero Bilayers
Upload date
2026-03-06T20:04:51 UTC
Files
KPOINTS, INCAR, OUTCAR, fields.yml, POSCAR, vasprun.xml
Published
True
User
Referenced in collections
VASP version (vasp_version)
6.2.0
Formula (formula)
Ga12As16S12
Atomic symbols (atomic_symbols)
As, As, As, As, As, As, As, As, As, As, As, As, As, As, As, As, Ga, Ga, Ga, Ga, Ga, Ga, Ga, Ga, Ga, Ga, Ga, Ga, S, S, S, S, S, S, S, S, S, S, S, S
Stoichiometry (anonymized_formula)
A3B3C4
Run type (run_type)
GGA+U+vdW-no-correction
Space group (space_group)
Pc
Lattice type (lattice_type)
monoclinic
Elements (elements)
As, Ga, S
Number of sites (number_of_sites)
40
Number of elements (number_of_elements)
3
Dimensionality (dimensionality)
2
Final energy (final_energy)
-170.78282273
Final energy per atom (final_energy_per_atom)
-4.26957056825
Fermi level (fermi_level)
0.37190763
Hubbard (is_hubbard)
False
Spin polarized (is_spin_polarized)
False
Metal (is_metal)
False
Hubbards:
  • As : 0.0
  • Ga : 0.0
  • S : 0.0
Lattice:
  • Matrix
    1. [0.0, 18.79354635, 0.0]
    2. [-3.62042535, 0.0, 0.0]
    3. [0.0, 0.0, 25.35625142]
  • Pbc
    1. True
    2. True
    3. True
Structure:
  • Energy : -170.78282273
  • Composition
    • As : 16.0
    • Ga : 12.0
    • S : 12.0
  • Entry id : vasprun-20260120-23.0-6b64d44b5013a6aaf9d86c6d4e92d448
  • Correction : 0.0
  • Energy adjustments
    1. Parameters
      • Hubbards
        • As : 0.0
        • Ga : 0.0
        • S : 0.0
      • Potcar symbols
        1. PAW_PBE As 22Sep2009
        2. PAW_PBE Ga_d 06Jul2010
        3. PAW_PBE S 06Sep2000
      • Potcar spec
        1. 0
          • Titel : PAW_PBE As 22Sep2009
          • Hash : None
          • Summary stats
        2. 1
          • Titel : PAW_PBE Ga_d 06Jul2010
          • Hash : None
          • Summary stats
        3. 2
          • Titel : PAW_PBE S 06Sep2000
          • Hash : None
          • Summary stats
      • Is hubbard : False
      • Run type : GGA+U+vdW-no-correction
    2. Data
    3. Structure
      • Charge : 0.0
      • Lattice
        • Matrix
          1. [0.0, 18.79354635, 0.0]
          2. [-3.62042535, 0.0, 0.0]
          3. [0.0, 0.0, 25.35625142]
        • Pbc
          1. True
          2. True
          3. True
        • A : 18.79354635
        • B : 3.62042535
        • C : 25.35625142
        • Alpha : 90.0
        • Beta : 90.0
        • Gamma : 90.0
        • Volume : 1725.2553621815125
      • Properties
      • Sites
        1. 0
          • Species
            1. 0
              • Element : As
              • Occu : 1
          • Abc
            1. 0.00043762
            2. 0.9999311
            3. 0.39259818
          • Properties
          • Label : As
          • Xyz
            1. -3.620175902693385
            2. 0.008224431753687
            3. 9.954818159114415
        2. 1
          • Species
            1. 0
              • Element : As
              • Occu : 1
          • Abc
            1. 0.24873894
            2. 0.98534383
            3. 0.39036505
          • Properties
          • Label : As
          • Xyz
            1. -3.567363780598091
            2. 4.674686797939869
            3. 9.898194353380871
        3. 2
          • Species
            1. 0
              • Element : As
              • Occu : 1
          • Abc
            1. 0.50043762
            2. 6.89e-05
            3. 0.39259818
          • Properties
          • Label : As
          • Xyz
            1. -0.00024944730661499996
            2. 9.404997606753687
            3. 9.954818159114415
        4. 3
          • Species
            1. 0
              • Element : As
              • Occu : 1
          • Abc
            1. 0.74873894
            2. 0.01465617
            3. 0.39036505
          • Properties
          • Label : As
          • Xyz
            1. -0.0530615694019095
            2. 14.071459972939868
            3. 9.898194353380871
        5. 4
          • Species
            1. 0
              • Element : As
              • Occu : 1
          • Abc
            1. 0.21592925
            2. 0.98878627
            3. 0.2949307
          • Properties
          • Label : As
          • Xyz
            1. -3.5798268776399444
            2. 4.058076368195737
            3. 7.478336980676594
        6. 5
          • Species
            1. 0
              • Element : As
              • Occu : 1
          • Abc
            1. 0.46720145
            2. 0.99149489
            3. 0.29705497
          • Properties
          • Label : As
          • Xyz
            1. -3.589633234151462
            2. 8.780372105362208
            3. 7.5322005048805565
        7. 6
          • Species
            1. 0
              • Element : As
              • Occu : 1
          • Abc
            1. 0.71592925
            2. 0.01121373
            3. 0.2949307
          • Properties
          • Label : As
          • Xyz
            1. -0.0405984723600555
            2. 13.454849543195737
            3. 7.478336980676594
        8. 7
          • Species
            1. 0
              • Element : As
              • Occu : 1
          • Abc
            1. 0.96720145
            2. 0.00850511
            3. 0.29705497
          • Properties
          • Label : As
          • Xyz
            1. -0.030792115848538498
            2. 18.177145280362208
            3. 7.5322005048805565
        9. 8
          • Species
            1. 0
              • Element : As
              • Occu : 1
          • Abc
            1. 0.12432712
            2. 0.49001565
            3. 0.29594595
          • Properties
          • Label : As
          • Xyz
            1. -1.7740650811567276
            2. 2.336547492282012
            3. 7.504079914930749
        10. 9
          • Species
            1. 0
              • Element : As
              • Occu : 1
          • Abc
            1. 0.37569136
            2. 0.49162462
            3. 0.2964425
          • Properties
          • Label : As
          • Xyz
            1. -1.779890236932117
            2. 7.0605729874545355
            3. 7.51667056157335
        11. 10
          • Species
            1. 0
              • Element : As
              • Occu : 1
          • Abc
            1. 0.62432712
            2. 0.50998435
            3. 0.29594595
          • Properties
          • Label : As
          • Xyz
            1. -1.8463602688432725
            2. 11.733320667282012
            3. 7.504079914930749
        12. 11
          • Species
            1. 0
              • Element : As
              • Occu : 1
          • Abc
            1. 0.87569136
            2. 0.50837538
            3. 0.2964425
          • Properties
          • Label : As
          • Xyz
            1. -1.8405351130678833
            2. 16.457346162454538
            3. 7.51667056157335
        13. 12
          • Species
            1. 0
              • Element : As
              • Occu : 1
          • Abc
            1. 0.09274167
            2. 0.49922441
            3. 0.39182953
          • Properties
          • Label : As
          • Xyz
            1. -1.8074047093027936
            2. 1.7429448737214044
            3. 9.935328076460433
        14. 13
          • Species
            1. 0
              • Element : As
              • Occu : 1
          • Abc
            1. 0.34071609
            2. 0.48566085
            3. 0.39149783
          • Properties
          • Label : As
          • Xyz
            1. -1.7582988528425474
            2. 6.403263629605772
            3. 9.926917407864417
        15. 14
          • Species
            1. 0
              • Element : As
              • Occu : 1
          • Abc
            1. 0.59274167
            2. 0.50077559
            3. 0.39182953
          • Properties
          • Label : As
          • Xyz
            1. -1.8130206406972067
            2. 11.139718048721404
            3. 9.935328076460433
        16. 15
          • Species
            1. 0
              • Element : As
              • Occu : 1
          • Abc
            1. 0.84071609
            2. 0.51433915
            3. 0.39149783
          • Properties
          • Label : As
          • Xyz
            1. -1.8621264971574525
            2. 15.800036804605773
            3. 9.926917407864417
        17. 16
          • Species
            1. 0
              • Element : Ga
              • Occu : 1
          • Abc
            1. 0.95755857
            2. 0.74663291
            3. 0.56394781
          • Properties
          • Label : Ga
          • Xyz
            1. -2.7031287145082685
            2. 17.99592136813472
            3. 14.299602458118391
        18. 17
          • Species
            1. 0
              • Element : Ga
              • Occu : 1
          • Abc
            1. 0.45755857
            2. 0.25336709
            3. 0.56394781
          • Properties
          • Label : Ga
          • Xyz
            1. -0.9172966354917316
            2. 8.599148193134718
            3. 14.299602458118391
        19. 18
          • Species
            1. 0
              • Element : Ga
              • Occu : 1
          • Abc
            1. 0.62491401
            2. 0.74387366
            3. 0.56417946
          • Properties
          • Label : Ga
          • Xyz
            1. -2.693139055861281
            2. 11.744350411699363
            3. 14.305476233759832
        20. 19
          • Species
            1. 0
              • Element : Ga
              • Occu : 1
          • Abc
            1. 0.79175338
            2. 0.24176232
            3. 0.56406322
          • Properties
          • Label : Ga
          • Xyz
            1. -0.8752824320028121
            2. 14.879853844799161
            3. 14.302528823094772
        21. 20
          • Species
            1. 0
              • Element : Ga
              • Occu : 1
          • Abc
            1. 0.12491401
            2. 0.25612634
            3. 0.56417946
          • Properties
          • Label : Ga
          • Xyz
            1. -0.9272862941387191
            2. 2.3475772366993635
            3. 14.305476233759832
        22. 21
          • Species
            1. 0
              • Element : Ga
              • Occu : 1
          • Abc
            1. 0.29175338
            2. 0.75823768
            3. 0.56406322
          • Properties
          • Label : Ga
          • Xyz
            1. -2.745142917997188
            2. 5.483080669799163
            3. 14.302528823094772
        23. 22
          • Species
            1. 0
              • Element : Ga
              • Occu : 1
          • Abc
            1. 0.95780206
            2. 0.74758727
            3. 0.66060271
          • Properties
          • Label : Ga
          • Xyz
            1. -2.7065839036452948
            2. 18.00049740873548
            3. 16.75040840349335
        24. 23
          • Species
            1. 0
              • Element : Ga
              • Occu : 1
          • Abc
            1. 0.45780206
            2. 0.25241273
            3. 0.66060271
          • Properties
          • Label : Ga
          • Xyz
            1. -0.9138414463547054
            2. 8.60372423373548
            3. 16.75040840349335
        25. 24
          • Species
            1. 0
              • Element : Ga
              • Occu : 1
          • Abc
            1. 0.62480091
            2. 0.7477873
            3. 0.66075104
          • Properties
          • Label : Ga
          • Xyz
            1. -2.707308097328055
            2. 11.742224861607179
            3. 16.754169496266474
        26. 25
          • Species
            1. 0
              • Element : Ga
              • Occu : 1
          • Abc
            1. 0.79146715
            2. 0.24679165
            3. 0.66071189
          • Properties
          • Label : Ga
          • Xyz
            1. -0.8934907458283275
            2. 14.874474568027402
            3. 16.753176799023382
        27. 26
          • Species
            1. 0
              • Element : Ga
              • Occu : 1
          • Abc
            1. 0.12480091
            2. 0.2522127
            3. 0.66075104
          • Properties
          • Label : Ga
          • Xyz
            1. -0.9131172526719451
            2. 2.3454516866071784
            3. 16.754169496266474
        28. 27
          • Species
            1. 0
              • Element : Ga
              • Occu : 1
          • Abc
            1. 0.29146715
            2. 0.75320835
            3. 0.66071189
          • Properties
          • Label : Ga
          • Xyz
            1. -2.7269346041716727
            2. 5.477701393027402
            3. 16.753176799023382
        29. 28
          • Species
            1. 0
              • Element : S
              • Occu : 1
          • Abc
            1. 0.06904109
            2. 0.75512951
            3. 0.52164965
          • Properties
          • Label : S
          • Xyz
            1. -2.7338900205370784
            2. 1.2975269249695214
            3. 13.227079678555002
        30. 29
          • Species
            1. 0
              • Element : S
              • Occu : 1
          • Abc
            1. 0.73598443
            2. 0.74111626
            3. 0.52128701
          • Properties
          • Label : S
          • Xyz
            1. -2.683156095001191
            2. 13.83175749808333
            3. 13.217884487540054
        31. 30
          • Species
            1. 0
              • Element : S
              • Occu : 1
          • Abc
            1. 0.90259241
            2. 0.24519016
            3. 0.52075246
          • Properties
          • Label : S
          • Xyz
            1. -0.8876926708345559
            2. 16.962912292493204
            3. 13.204330303343493
        32. 31
          • Species
            1. 0
              • Element : S
              • Occu : 1
          • Abc
            1. 0.23598443
            2. 0.25888374
            3. 0.52128701
          • Properties
          • Label : S
          • Xyz
            1. -0.937269254998809
            2. 4.43498432308333
            3. 13.217884487540054
        33. 32
          • Species
            1. 0
              • Element : S
              • Occu : 1
          • Abc
            1. 0.40259241
            2. 0.75480984
            3. 0.52075246
          • Properties
          • Label : S
          • Xyz
            1. -2.732732679165444
            2. 7.566139117493203
            3. 13.204330303343493
        34. 33
          • Species
            1. 0
              • Element : S
              • Occu : 1
          • Abc
            1. 0.56904109
            2. 0.24487049
            3. 0.52164965
          • Properties
          • Label : S
          • Xyz
            1. -0.8865353294629215
            2. 10.694300099969523
            3. 13.227079678555002
        35. 34
          • Species
            1. 0
              • Element : S
              • Occu : 1
          • Abc
            1. 0.0690359
            2. 0.75179185
            3. 0.7032063
          • Properties
          • Label : S
          • Xyz
            1. -2.7218062716633975
            2. 1.297429386463965
            3. 17.830675742927944
        36. 35
          • Species
            1. 0
              • Element : S
              • Occu : 1
          • Abc
            1. 0.73582898
            2. 0.74697657
            3. 0.70341618
          • Properties
          • Label : S
          • Xyz
            1. -2.704372909884049
            2. 13.828836041303223
            3. 17.835997512975975
        37. 36
          • Species
            1. 0
              • Element : S
              • Occu : 1
          • Abc
            1. 0.90244829
            2. 0.24764064
            3. 0.70350649
          • Properties
          • Label : S
          • Xyz
            1. -0.896564450746224
            2. 16.960203766593242
            3. 17.838287436041714
        38. 37
          • Species
            1. 0
              • Element : S
              • Occu : 1
          • Abc
            1. 0.23582898
            2. 0.25302343
            3. 0.70341618
          • Properties
          • Label : S
          • Xyz
            1. -0.9160524401159506
            2. 4.432062866303223
            3. 17.835997512975975
        39. 38
          • Species
            1. 0
              • Element : S
              • Occu : 1
          • Abc
            1. 0.40244829
            2. 0.75235936
            3. 0.70350649
          • Properties
          • Label : S
          • Xyz
            1. -2.723860899253776
            2. 7.563430591593241
            3. 17.838287436041714
        40. 39
          • Species
            1. 0
              • Element : S
              • Occu : 1
          • Abc
            1. 0.5690359
            2. 0.24820815
            3. 0.7032063
          • Properties
          • Label : S
          • Xyz
            1. -0.8986190783366025
            2. 10.694202561463966
            3. 17.830675742927944
    Reciprocal lattice:
    • Matrix
      1. [-0.0, 0.3343267518628588, 0.0]
      2. [-1.7354826297356432, 0.0, 0.0]
      3. [-0.0, 0.0, 0.24779630092418395]
    • Pbc
      1. True
      2. True
      3. True

    Name DB Name Description Value
    Unique Structure ID id ID that uniquely identifies the structure: formula (bottom monolayer + top monolayer) + 16-digit ID (bilayer) + 8-digit ID (single lattice) 'As4+Ga2S2_c687ffb8a35a08b2+078b4aec'
    Number of layers number_layers Number of layers 2
    Unique ID - monolayers id_layers IDs of the monolayers used in the construction of the : [ formula + 16-digit ID (bottom monolayer), formula + 16-digit ID (top monolayer) ] ['As4_cb2df1dde1d74e86', 'Ga2S2_5cf8678865504024']
    Chemical formula formula Chemical formula of the bilayer: formula (bottom monolayer + top monolayer) 'As4+Ga2S2'
    Types of ions - layers type_ions_layers Types of ions present in each layer [['As'], ['Ga', 'S']]
    Number of ions - layers number_ions_layers Total number of ions in each layer [16, 24]
    Type ions - layers number_type_ions_layers Total number of each ion type in each layer [[16], [12, 12]]
    Range ions - layers range_ions_layers Ion ranges in the POSCAR file that make up each layer ['1:16', '17:40']
    Total number of ions number_ions Total number of ions in the structure 40
    Publication DOI doi Digital Object Identifier (DOI) of the reference article describing the dataset '10.1038/s41524-025-01892-z'
    Article Reference article Title of the publication associated with the dataset 'A high-throughput framework and database for twisted 2D vander Waals bilayers'
    Dataset in midb database dataset https://www.midb.cloud/search?show_pt=no&query=(dataset==%27Twisted%202D%20van%20der%20Waals%20Homo%20and%20Hetero%20Bilayers%27) 'https://www.midb.cloud/search?show_pt=no&query=(dataset==%27Twisted%202D%20van%20der%20Waals%20Homo%20and%20Hetero%20Bilayers%27)'
    Percentage mismatch - Area area_perc_mismatch Percentage mismatch between the cell areas of the layers (before structural deformation), in % [[-3.045, 3.1406]]
    Percentage variation - Area perc_area_change Percentage variation applied to the area of each layer, in % [-1.5283, 1.5643]
    Percentage variation - Vector modulus perc_mod_vectors_change Percentage variation applied in the modulus of each layer’s lattice vectors, in % [[-0.7184, -0.8158], [0.7289, 0.8293]]
    Percentage mismatch - Opening angles angle_perc_mismatch Percentage mismatch between opening angles in layer cells (before structural deformation), in % [[0.0, 0.0]]
    Percentage variation - Opening angles perc_angle_change Percentage variation applied to cells opening angle, in % [0.0, 0.0]
    Twist angle rotation_angle Twist angle applied to top layer, in degrees [59.979]
    Supercell matrix supercell_matrix Layer transformation matrices to generate the bilayer [[[0, 4], [0, 0]], [[-3, 3], [-1, -1]]]
    Deformation matrix deformation_matrix Deformation matrices applied to each layer for lattice matching [[[0.992815777, 0.0], [0.0, 0.99184217]], [[1.007288954, 0.0], [0.0, 1.008293138]]]
    Strain matrix strain_matrix Strain matrices applied to each layer for lattice matching [[[-0.007158417, 0.0], [0.0, -0.008124555]], [[0.007315519, 0.0], [0.0, 0.008327526]]]
    Lateral displacement shift_plane Lateral displacement applied to top layer, as a fraction of the lattice vectors (A1, A2) [0.125, 0.25]
    Vertical separation z_separation Vertical separation applied between the two layers, in Angs. [3.249512163435169]
    Thicknesses - layers thickness Thicknesses of the layers that make up the bilayer, in Angs. [2.476481190428699, 4.633957033415109]
    Thicknesses - bilayer total_thickness Total bilayer thicknesses, in Angs. 10.359950387278978
    Braval lattice type lattice_type Braval lattice type 'monoclinic'
    Lattice symmetry point group point_group Lattice symmetry point group (Hermann-Mauguin Notation): [bilayer, bottom monolayer, top monolayer] ['m', '1', '1']
    Lattice symmetry space group space_group Lattice symmetry space group (Hermann-Mauguin Notation): [bilayer, bottom monolayer, top monolayer] ['Pc', 'P1', 'P1']
    Lattice symmetry space group number space_group_number Lattice symmetry space group number (International Table for Crystallography): [bilayer, bottom monolayer, top monolayer] [7, 1, 1]
    Inversion symmetry inversion_symmetry Inversion symmetry in the structure and generating layers (before structural deformation): [bilayer, bottom monolayer, top monolayer] [False, False, False]
    Pseudo pseudo_type Type of pseudopotential used in VASP calculation 'PAW_PBE'
    exchange-correlation functional exchange_correlation_functional Type of exchange and correlation functional used in the VASP calculation 'GGA'
    vdW vdW Van der Waals type used in VASP calculation 'optB86b'
    Non collinear non_collinear Choice in using non-collinear calculus '.TRUE.'
    SOC spin_orbit Choice in using spin-orbit coupling calculations '.TRUE.'
    Vector A1 a1 Cell lattice vector A1, whose coordinates are in Angs. [0.0, 18.793546348697, 0.0]
    Vector A2 a2 Cell lattice vector A2, whose coordinates are in Angs. [-3.620425351036, 0.0, 0.0]
    Vector A3 a3 Cell lattice vector A3, whose coordinates are in Angs. [0.0, 0.0, 25.35625141973154]
    Module - lattice vectors module_a1_a2_a3 Module of the lattice vectors, in Angs. [18.793546348697, 3.620425351036, 25.35625141973154]
    Opening angle - lattice vectors angle_a1a2_a1a3_a2a3 Opening angle of the lattice vectors, in degrees: between [A1/A2, A1/A3, A2/A3] [90.0, 90.0, 90.0]
    Cell area cell_area Cell area, in Angs^2 68.04063163669267
    Vector B1 b1 Reciprocal lattice vector B1, whose coordinates are in Angs^(−1) [0.0, 0.334326751886038, -0.0]
    Vector B2 b2 Reciprocal lattice vector B2, whose coordinates are in Angs^(−1) [-1.735482629239028, 0.0, 0.0]
    Vector B3 b3 Reciprocal lattice vector B3, whose coordinates are in Angs^(−1) [0.0, -0.0, 0.247796300926808]
    Modules - reciprocal lattice module_b1_b2_b3 Module of the vectors of the reciprocal lattice, in Angs^(−1) [0.334326751886038, 1.735482629239028, 0.247796300926808]
    Opening angle - ZB vectors angle_b1b2_b1b3_b2b3 Opening angles between reciprocal lattice vectors, in degrees: between [B1/B2, B1/B3, B2/B3] [90.0, 90.0, 90.0]
    Area - ZB zb_area Area of the 1st Brillouin zone (in the kxky plane), in Angs^(−2) 0.580218270388126
    Coordinates - ions direct_coord_ions Direct coordinates of lattice ions (k1, k2, k3) [[0.000437619870375, 0.999931095566303, 0.392598180709648], [0.248738937550144, 0.985343826154072, 0.390365054010054], [0.500437619870375, 6.8904433697e-05, 0.392598180709648], [0.748738937550144, 0.014656173845928, 0.390365054010054], [0.215929251146029, 0.988786273274201, 0.294930700235717], [0.467201449120196, 0.991494887763771, 0.297054970208492], [0.715929251146029, 0.011213726725799, 0.294930700235717], [0.967201449120196, 0.008505112236229, 0.297054970208492], [0.124327120676533, 0.490015649812683, 0.295945950350316], [0.375691357398011, 0.491624619349274, 0.296442500797681], [0.624327120676533, 0.509984350187317, 0.295945950350316], [0.875691357398011, 0.508375380650726, 0.296442500797681], [0.092741667635913, 0.499224410143803, 0.391829526452447], [0.34071609458497, 0.485660851562479, 0.39149782559037], [0.59274166763592, 0.500775589856197, 0.391829526452447], [0.84071609458497, 0.514339148437521, 0.39149782559037], [0.957558565454207, 0.746632907956034, 0.563947807419915], [0.457558565454207, 0.253367092043966, 0.563947807419915], [0.624914010663552, 0.743873659590875, 0.564179459457065], [0.791753375962571, 0.241762317743564, 0.564063224940654], [0.124914010663552, 0.256126340409125, 0.564179459457065], [0.291753375962571, 0.758237682256436, 0.564063224940654], [0.957802064703905, 0.74758726576308, 0.660602710973258], [0.457802064703905, 0.25241273423692, 0.660602710973258], [0.624800906896901, 0.747787301244379, 0.660751042909162], [0.791467149371577, 0.246791645822448, 0.660711886040119], [0.124800906896901, 0.252212698755621, 0.660751042909162], [0.291467149371577, 0.753208354177552, 0.660711886040119], [0.069041086632218, 0.755129507566643, 0.521649650848872], [0.735984425966436, 0.741116258307706, 0.521287014028076], [0.902592411366378, 0.245190159081631, 0.520752461468454], [0.235984425966436, 0.258883741692294, 0.521287014028076], [0.402592411366378, 0.754809840918369, 0.520752461468454], [0.569041086632218, 0.244870492433357, 0.521649650848872], [0.069035895937176, 0.751791854293224, 0.703206300688507], [0.735828982324094, 0.74697657264521, 0.703416184541943], [0.902448293405435, 0.247640641947648, 0.703506487554861], [0.235828982324094, 0.25302342735479, 0.703416184541943], [0.402448293405435, 0.752359358052352, 0.703506487554861], [0.569035895937176, 0.248208145706776, 0.703206300688507]]
    Labels - ions label_ions lattice ions label ['As', 'As', 'As', 'As', 'As', 'As', 'As', 'As', 'As', 'As', 'As', 'As', 'As', 'As', 'As', 'As', 'Ga', 'Ga', 'Ga', 'Ga', 'Ga', 'Ga', 'Ga', 'Ga', 'Ga', 'Ga', 'Ga', 'Ga', 'S', 'S', 'S', 'S', 'S', 'S', 'S', 'S', 'S', 'S', 'S', 'S']
    k-path kpath k-points (in the k-path) for calculating the band structure plot, in direct coordinates [[0.0, 0.0, 0.0], [0.5, 0.0, 0.0], [0.5, 0.5, 0.0], [0.0, 0.5, 0.0], [0.0, 0.0, 0.0]]
    Labels - kpoints kpath_label k-points labels in the k-path ['Gamma', 'X', 'S', 'Y', 'Gamma']
    lorbit tag lorbit lorbit tag used in VASP package (without SO) 11
    ispin tag ispin ispin tag used in VASP package (without SO) 2
    Number - kpoints nk Total number of k-points in band structure calculation (without SO) 200
    Number - bands nb Number of bands in the calculation of the band structure (without SO) 420
    Number - electrons ne Number of electrons in the calculation of the band structure (without SO) 308.0
    Energy gap gap Energy gap value between the valence and conduction bands, in eV (without SO) 0.4088
    E valence band maximum e_vbm Energy value for the valence band maximum, given by (E_vbm - e_fermi) in eV (without SO) 0.2872
    E conduction band minimum e_cbm Energy value for the conduction band minimum, given by (E_cbm - e_fermi) in eV (without SO) 0.696
    index valence band maximum vbm Valence maximum - band index (without SO) 154
    index conduction band minimum cbm Conduction minimum - band index (without SO) 155
    Type of gap type_gap type of gap: No-Gap, direct or indirect (without SO) 'indirect'
    Valence maximum - kpoint k_vbm k-point referring to the valence band maximum, in direct coordinates (without SO) [0.0, 0.0, 0.0]
    Conduction minimum - kpoint k_cbm k-point referring to the conduction band minimum, in direct coordinates (without SO) [0.47959184, 0.0, 0.0]
    Fermi energy e_fermi Fermi energy, in eV (without SO) 0.3136
    Vacuum energy e_vacuum Vacuum energy extracted from the potential energy plateau, in eV (without SO) 4.658448924272416
    Total energy total_energy Total energy of the system, in eV (without SO) -170.50931829
    Energy per ion e_per_ion Total energy divided by the total number of ions, in eV (without SO) -4.26273295725
    Energy per area e_per_area Total energy divided by cell area, in eV/Angs^2 (without SO) -2.505992583967261
    Binding energ e_binding Binding energy, ∆E between the bilayer and the isolated layers, in meV/Angs^2 20.727710061847002
    Slide energy e_slide Slide energy, highest value ∆E in xy-scan approach, in meV/Angs^2 0.193737178549
    Charge transfer charge_transfer Charge transfer between layers, in e/cm^2: [∆Q[bottom monolayer, type ion 1, type ion 2, ...], ∆Q[top monolayer, type ion 1, type ion 2, ...]] (without SO) [[-6636917000000.0, -6636917000000.0], [6636623000000.0, 4272006000000.0, 2364616000000.0]]
    lorbit tag (SO) lorbit_SO lorbit tag used in VASP package (with SO) 11
    ispin tag (SO) ispin_SO ispin tag used in VASP package (with SO) 1
    Number - kpoints (SO) nk_SO Total number of k-points in band structure calculation (with SO) 200
    Number - bands (SO) nb_SO Number of bands in the calculation of the band structure (with SO) 420
    Number - electrons (SO) ne_SO Number of electrons in the calculation of the band structure (with SO) 308.0
    Energy gap (SO) gap_SO Energy gap value between the valence and conduction bands, in eV (with SO) 0.3983
    E valence band maximum (SO) e_vbm_SO Energy value for the valence band maximum, given by (E_vbm - e_fermi_SO) in eV (with SO) 0.2955
    E conduction band minimum (SO) e_cbm_SO Energy value for the conduction band minimum, given by (E_cbm - e_fermi_SO) in eV (with SO) 0.6938
    index valence band maximum (SO) vbm_SO Valence band index (with SO) 308
    index conduction band minimum (SO) cbm_SO Conduction band index (with SO) 309
    Type Gap So type_gap_SO Not available 'indirect'
    Valence maximum - kpoint (SO) k_vbm_SO k-point referring to the valence band maximum, in direct coordinates (with SO) [0.47959184, 0.0, 0.0]
    Conduction minimum - kpoint (SO) k_cbm_SO k-point referring to the conduction band minimum, in direct coordinates (with SO) [0.0, 0.0, 0.0]
    Fermi energy (SO) e_fermi_SO Fermi energy, in eV (with SO) 0.3719
    Vacuum energy (SO) e_vacuum_SO Vacuum energy extracted from the potential energy plateau, in eV (with SO) 4.658448924272416
    Total energy (SO) total_energy_SO Total energy of the system, in eV (with SO) -170.78282273
    Energy per ion (SO) e_per_ion_SO Total energy divided by the total number of ions, in eV (with SO) -4.26957056825
    Energy per area (SO) e_per_area_SO Total energy divided by cell area, in eV/Angs^2 (with SO) -2.51001230620412
    Charge transfer (SO) charge_transfer_SO Charge transfer between layers, in e/cm2: [∆Q[bottom monolayer, type ion 1, type ion 2, ...], ∆Q[top monolayer, type ion 1, type ion 2, ...]] (with SO) [[-6663077000000.0, -6663077000000.0], [6663077000000.0, 4335939000000.0, 2327139000000.0]]

    supplemental image
    Charge Transfer (Bader's Charge Calculation)
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    Bands with projection of the contribution of each layer
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    Bands with projection of d-Orbitals
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    Bands with projection of p-Orbitals
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    Density of States (DOS) and Projected Density (spd-Orbitals)
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    Bands with projection of d-Orbitals
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    Bands with projection of p-Orbitals
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    Magnetization
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    Density of States (DOS) and Projected Density (p-Orbitals)
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    Bands with projection of spd-Orbitals
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    Bands with projection of spin components
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    Band structure
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    Electrostatic potential (SO)
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    Bands with projection of the contribution of each layer
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    Vertical separation (z-scan) and lateral displacement (xy-scan) between layers
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    Electrostatic potential
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    Bands with projection of spin components
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    Density of States (DOS) and Projected Density (d-Orbitals)
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    Bands with projection of spd-Orbitals
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    1st Brillouin zone with k-path projection