Phonon computations

This is a quick sketch how to run a simple phonon calculation using DFTK.

Preliminary implementation

Practical phonon computations have only seen rudimentary testing as of now. As of now we do not yet recommend relying on this feature for production calculations. We appreciate any issues, bug reports or PRs.

First we run an SCF calculation.

using AtomsBuilder
using DFTK
using PseudoPotentialData

pseudopotentials = PseudoFamily("cp2k.nc.sr.lda.v0_1.semicore.gth")
model  = model_DFT(bulk(:Si); pseudopotentials, functionals=LDA())
basis  = PlaneWaveBasis(model; Ecut=10, kgrid=[4, 4, 4])
scfres = self_consistent_field(basis, tol=1e-8);
n     Energy            log10(ΔE)   log10(Δρ)   Diag   Δtime
---   ---------------   ---------   ---------   ----   ------
  1   -7.916427166748                   -0.69    5.1    118ms
  2   -7.921200157247       -2.32       -1.52    1.0   57.2ms
  3   -7.921406354027       -3.69       -2.50    1.5   63.7ms
  4   -7.921441112758       -4.46       -2.84    2.5   81.7ms
  5   -7.921441673240       -6.25       -3.01    1.2   59.9ms
  6   -7.921442009572       -6.47       -4.54    1.0   69.1ms
  7   -7.921442021826       -7.91       -4.62    3.0   90.5ms
  8   -7.921442022128       -9.52       -5.25    1.0   59.0ms
  9   -7.921442022143      -10.84       -5.70    1.4   63.3ms
 10   -7.921442022144      -11.96       -6.41    1.5   64.1ms
 11   -7.921442022144      -12.72       -7.10    1.9   72.0ms
 12   -7.921442022144      -14.15       -7.44    1.8   69.3ms
 13   -7.921442022144   +    -Inf       -7.78    1.2   74.5ms
 14   -7.921442022144      -15.05       -8.00    1.2   62.7ms
 15   -7.921442022144   +  -15.05       -8.62    1.0   60.3ms

Next we compute the phonon modes at the q-point [1/4, 1/4, 1/4].

scfres = DFTK.unfold_bz(scfres)
phret_q0 = @time DFTK.phonon_modes(scfres; q=[0.25, 0.25, 0.25]);
Iter  Restart  Krydim  log10(res)  avg(CG)  Δtime   Comment
----  -------  ------  ----------  -------  ------  ---------------
                                      72.9   2.04s  Non-interacting
   1        0       1        0.31     52.4   3.84s
   2        0       2       -0.52     47.1   1.37s
   3        0       3       -2.40     41.6   1.24s
   4        0       4       -4.46     29.6   2.66s
   5        0       5       -6.46     17.3   887ms
   6        0       6       -8.91      4.0   441ms
   7        1       1       -7.80     55.7   1.88s  Restart
   8        1       2       -8.83      5.6   481ms
                                      72.8   1.78s  Final orbitals
Iter  Restart  Krydim  log10(res)  avg(CG)  Δtime   Comment
----  -------  ------  ----------  -------  ------  ---------------
                                      72.9   1.61s  Non-interacting
   1        0       1        0.31     52.4   1.60s
   2        0       2       -0.52     47.1   1.38s
   3        0       3       -2.40     41.6   1.24s
   4        0       4       -4.46     29.6   996ms
   5        0       5       -6.46     17.3   728ms
   6        0       6       -8.91      4.0   426ms
   7        1       1       -7.80     55.7   1.92s  Restart
   8        1       2       -8.83      5.6   470ms
                                      72.7   1.79s  Final orbitals
Iter  Restart  Krydim  log10(res)  avg(CG)  Δtime   Comment
----  -------  ------  ----------  -------  ------  ---------------
                                      72.9   1.64s  Non-interacting
   1        0       1        0.31     52.4   1.59s
   2        0       2       -0.52     47.1   1.38s
   3        0       3       -2.40     41.6   1.28s
   4        0       4       -4.46     29.6   989ms
   5        0       5       -6.46     17.3   721ms
   6        0       6       -8.91      4.0   441ms
   7        1       1       -7.80     55.7   1.91s  Restart
   8        1       2       -8.83      5.6   465ms
                                      72.8   1.81s  Final orbitals
Iter  Restart  Krydim  log10(res)  avg(CG)  Δtime   Comment
----  -------  ------  ----------  -------  ------  ---------------
                                      72.9   1.66s  Non-interacting
   1        0       1        0.31     52.4   1.59s
   2        0       2       -0.52     47.1   1.36s
   3        0       3       -2.40     41.7   1.26s
   4        0       4       -4.46     29.6   1.01s
   5        0       5       -6.46     17.4   730ms
   6        0       6       -8.91      4.0   438ms
   7        1       1       -7.81     55.7   1.90s  Restart
   8        1       2       -8.84      5.5   463ms
                                      72.7   1.80s  Final orbitals
Iter  Restart  Krydim  log10(res)  avg(CG)  Δtime   Comment
----  -------  ------  ----------  -------  ------  ---------------
                                      72.9   1.66s  Non-interacting
   1        0       1        0.31     52.4   1.60s
   2        0       2       -0.52     47.1   1.37s
   3        0       3       -2.40     41.7   2.69s
   4        0       4       -4.46     29.6   972ms
   5        0       5       -6.46     17.4   675ms
   6        0       6       -8.91      4.0   434ms
   7        1       1       -7.81     55.7   1.89s  Restart
   8        1       2       -8.84      5.5   458ms
                                      72.7   1.76s  Final orbitals
Iter  Restart  Krydim  log10(res)  avg(CG)  Δtime   Comment
----  -------  ------  ----------  -------  ------  ---------------
                                      72.9   1.59s  Non-interacting
   1        0       1        0.31     52.4   1.56s
   2        0       2       -0.52     47.1   1.36s
   3        0       3       -2.40     41.7   1.24s
   4        0       4       -4.46     29.6   998ms
   5        0       5       -6.46     17.4   721ms
   6        0       6       -8.91      4.0   426ms
   7        1       1       -7.81     55.7   1.92s  Restart
   8        1       2       -8.84      5.5   462ms
                                      72.7   1.78s  Final orbitals
 90.298858 seconds (101.48 M allocations: 80.385 GiB, 8.71% gc time, 8.45% compilation time: 100% of which was recompilation)

These are the final phonon frequencies:

phret_q0.frequencies
6-element Vector{Float64}:
 -0.003498155355249743
 -0.0029774511554350328
 -0.0029774511552142662
  0.00430223063028264
  0.004302230630474988
  0.004353201761277312