AtomsBase integration

AtomsBase.jl is a common interface for representing atomic structures in Julia. DFTK directly supports using such structures to run a calculation as is demonstrated here.

using DFTK

Feeding an AtomsBase AbstractSystem to DFTK

In this example we construct a silicon system using the ase.build.bulk routine from the atomistic simulation environment (ASE), which is exposed by ASEconvert as an AtomsBase AbstractSystem.

# Construct bulk system and convert to an AbstractSystem
using ASEconvert
system_ase = ase.build.bulk("Si")
system = pyconvert(AbstractSystem, system_ase)
FlexibleSystem(Si₂, periodic = TTT):
    bounding_box      : [       0    2.715    2.715;
                            2.715        0    2.715;
                            2.715    2.715        0]u"Å"

    Atom(Si, [       0,        0,        0]u"Å")
    Atom(Si, [  1.3575,   1.3575,   1.3575]u"Å")

                       
                       
                       
                       
              Si       
                       
          Si           
                       
                       
                       
                       

To use an AbstractSystem in DFTK, we attach pseudopotentials, construct a DFT model, discretise and solve:

system = attach_psp(system; Si="hgh/lda/si-q4")

model  = model_LDA(system; temperature=1e-3)
basis  = PlaneWaveBasis(model; Ecut=15, kgrid=[4, 4, 4])
scfres = self_consistent_field(basis, tol=1e-8);
n     Energy            log10(ΔE)   log10(Δρ)   Diag   Δtime
---   ---------------   ---------   ---------   ----   ------
  1   -7.921712820750                   -0.69    6.1    207ms
  2   -7.926166386916       -2.35       -1.22    1.0    153ms
  3   -7.926839452802       -3.17       -2.37    1.9    189ms
  4   -7.926861170761       -4.66       -3.04    2.1    181ms
  5   -7.926861652734       -6.32       -3.41    2.0    166ms
  6   -7.926861671339       -7.73       -3.84    1.5    153ms
  7   -7.926861678515       -8.14       -4.07    1.2    146ms
  8   -7.926861681792       -8.48       -4.92    1.2    156ms
  9   -7.926861681858      -10.18       -5.18    2.4    170ms
 10   -7.926861681871      -10.86       -6.16    1.0    143ms
 11   -7.926861681873      -11.91       -6.39    2.6    184ms
 12   -7.926861681873      -14.75       -6.23    1.1    151ms
 13   -7.926861681873      -14.21       -7.55    1.0    160ms
┌ Warning: Eigensolver not converged
  n_iter =
   8-element Vector{Int64}:
    2
    2
    2
    2
    4
    3
    3
    4
@ DFTK ~/work/DFTK.jl/DFTK.jl/src/scf/self_consistent_field.jl:76
 14   -7.926861681873   +    -Inf       -7.68    2.8    228ms
 15   -7.926861681873      -14.57       -8.46    1.4    149ms

If we did not want to use ASE we could of course use any other package which yields an AbstractSystem object. This includes:

Reading a system using AtomsIO

using AtomsIO

# Read a file using [AtomsIO](https://github.com/mfherbst/AtomsIO.jl),
# which directly yields an AbstractSystem.
system = load_system("Si.extxyz")

# Now run the LDA calculation:
system = attach_psp(system; Si="hgh/lda/si-q4")
model  = model_LDA(system; temperature=1e-3)
basis  = PlaneWaveBasis(model; Ecut=15, kgrid=[4, 4, 4])
scfres = self_consistent_field(basis, tol=1e-8);
n     Energy            log10(ΔE)   log10(Δρ)   Diag   Δtime
---   ---------------   ---------   ---------   ----   ------
  1   -7.921728177321                   -0.69    5.9    219ms
  2   -7.926164589789       -2.35       -1.22    1.0    151ms
  3   -7.926837907342       -3.17       -2.37    1.9    170ms
  4   -7.926861184366       -4.63       -3.01    2.1    196ms
  5   -7.926861632368       -6.35       -3.33    1.9    162ms
  6   -7.926861662767       -7.52       -3.66    1.6    151ms
  7   -7.926861679527       -7.78       -4.18    1.2    144ms
  8   -7.926861681804       -8.64       -5.20    1.8    170ms
  9   -7.926861681864      -10.22       -5.25    3.0    188ms
 10   -7.926861681872      -11.09       -6.48    1.0    142ms
 11   -7.926861681873      -12.43       -6.80    3.0    190ms
 12   -7.926861681873      -14.75       -7.58    1.4    152ms
 13   -7.926861681873      -14.27       -7.88    2.5    171ms
 14   -7.926861681873   +  -14.35       -9.10    1.0    154ms

The same could be achieved using ExtXYZ by system = Atoms(read_frame("Si.extxyz")), since the ExtXYZ.Atoms object is directly AtomsBase-compatible.

Directly setting up a system in AtomsBase

using AtomsBase
using Unitful
using UnitfulAtomic

# Construct a system in the AtomsBase world
a = 10.26u"bohr"  # Silicon lattice constant
lattice = a / 2 * [[0, 1, 1.],  # Lattice as vector of vectors
                   [1, 0, 1.],
                   [1, 1, 0.]]
atoms  = [:Si => ones(3)/8, :Si => -ones(3)/8]
system = periodic_system(atoms, lattice; fractional=true)

# Now run the LDA calculation:
system = attach_psp(system; Si="hgh/lda/si-q4")
model  = model_LDA(system; temperature=1e-3)
basis  = PlaneWaveBasis(model; Ecut=15, kgrid=[4, 4, 4])
scfres = self_consistent_field(basis, tol=1e-4);
n     Energy            log10(ΔE)   log10(Δρ)   Diag   Δtime
---   ---------------   ---------   ---------   ----   ------
  1   -7.921708371401                   -0.69    5.9    249ms
  2   -7.926166463661       -2.35       -1.22    1.0    160ms
  3   -7.926843131858       -3.17       -2.37    1.9    195ms
  4   -7.926864612531       -4.67       -3.05    2.4    202ms
  5   -7.926865067402       -6.34       -3.43    2.0    190ms
  6   -7.926865083973       -7.78       -3.87    1.4    153ms
  7   -7.926865089343       -8.27       -4.04    1.5    155ms

Obtaining an AbstractSystem from DFTK data

At any point we can also get back the DFTK model as an AtomsBase-compatible AbstractSystem:

second_system = atomic_system(model)
FlexibleSystem(Si₂, periodic = TTT):
    bounding_box      : [       0     5.13     5.13;
                             5.13        0     5.13;
                             5.13     5.13        0]u"a₀"

    Atom(Si, [  1.2825,   1.2825,   1.2825]u"a₀")
    Atom(Si, [ -1.2825,  -1.2825,  -1.2825]u"a₀")

                       
                       
                       
                       
              Si       
                       
          Si           
                       
                       
                       
                       

Similarly DFTK offers a method to the atomic_system and periodic_system functions (from AtomsBase), which enable a seamless conversion of the usual data structures for setting up DFTK calculations into an AbstractSystem:

lattice = 5.431u"Å" / 2 * [[0 1 1.];
                           [1 0 1.];
                           [1 1 0.]];
Si = ElementPsp(:Si; psp=load_psp("hgh/lda/Si-q4"))
atoms     = [Si, Si]
positions = [ones(3)/8, -ones(3)/8]

third_system = atomic_system(lattice, atoms, positions)
FlexibleSystem(Si₂, periodic = TTT):
    bounding_box      : [       0  5.13155  5.13155;
                          5.13155        0  5.13155;
                          5.13155  5.13155        0]u"a₀"

    Atom(Si, [ 1.28289,  1.28289,  1.28289]u"a₀")
    Atom(Si, [-1.28289, -1.28289, -1.28289]u"a₀")

                       
                       
                       
                       
              Si       
                       
          Si