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   -7.916447551106                   -0.69    4.8    115ms
  2   -7.921211080850       -2.32       -1.52    1.0   59.0ms
  3   -7.921406046421       -3.71       -2.49    1.4   62.7ms
  4   -7.921440897745       -4.46       -2.83    2.5   81.0ms
  5   -7.921441621771       -6.14       -3.01    1.1   73.1ms
  6   -7.921442002836       -6.42       -4.39    1.0   59.1ms
  7   -7.921442021628       -7.73       -4.52    2.8   88.5ms
  8   -7.921442022117       -9.31       -5.18    1.0   61.5ms
  9   -7.921442022121      -11.41       -4.89    1.8   69.1ms
 10   -7.921442022143      -10.65       -5.81    1.0   60.5ms
 11   -7.921442022144      -12.06       -6.84    1.4   64.5ms
 12   -7.921442022144      -13.10       -6.57    2.9   98.3ms
 13   -7.921442022144      -14.15       -7.56    1.0   59.9ms
 14   -7.921442022144   +    -Inf       -7.94    1.4   65.9ms
 15   -7.921442022144      -15.05       -8.56    1.2   63.3ms

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
----  -------  ------  ----------  -------  ------  ---------------
                                      73.0   3.20s  Non-interacting
   1        0       1        0.31     52.3   3.63s
   2        0       2       -0.52     46.9   1.32s
   3        0       3       -2.40     41.6   1.21s
   4        0       4       -4.46     29.6   968ms
   5        0       5       -6.46     17.4   708ms
   6        0       6       -8.91      4.0   423ms
   7        1       1       -7.86     55.2   1.90s  Restart
   8        1       2       -8.94      5.5   470ms
                                      72.8   1.76s  Final orbitals
Iter  Restart  Krydim  log10(res)  avg(CG)  Δtime   Comment
----  -------  ------  ----------  -------  ------  ---------------
                                      72.9   1.60s  Non-interacting
   1        0       1        0.31     52.3   1.57s
   2        0       2       -0.52     46.9   1.34s
   3        0       3       -2.40     41.6   1.21s
   4        0       4       -4.46     29.6   973ms
   5        0       5       -6.46     17.4   720ms
   6        0       6       -8.91      4.0   429ms
   7        1       1       -7.86     55.2   1.85s  Restart
   8        1       2       -8.94      5.5   465ms
                                      72.7   1.75s  Final orbitals
Iter  Restart  Krydim  log10(res)  avg(CG)  Δtime   Comment
----  -------  ------  ----------  -------  ------  ---------------
                                      72.9   1.60s  Non-interacting
   1        0       1        0.31     52.3   1.57s
   2        0       2       -0.52     46.9   1.34s
   3        0       3       -2.40     41.6   1.22s
   4        0       4       -4.46     29.6   963ms
   5        0       5       -6.46     17.4   729ms
   6        0       6       -8.91      4.0   435ms
   7        1       1       -7.86     55.2   1.86s  Restart
   8        1       2       -8.94      5.5   450ms
                                      72.7   1.75s  Final orbitals
Iter  Restart  Krydim  log10(res)  avg(CG)  Δtime   Comment
----  -------  ------  ----------  -------  ------  ---------------
                                      73.0   1.60s  Non-interacting
   1        0       1        0.31     52.3   1.52s
   2        0       2       -0.52     46.9   1.32s
   3        0       3       -2.40     41.6   1.22s
   4        0       4       -4.46     29.6   968ms
   5        0       5       -6.46     17.4   702ms
   6        0       6       -8.91      4.0   427ms
   7        1       1       -7.85     55.4   3.31s  Restart
   8        1       2       -8.89      5.5   416ms
                                      72.7   1.69s  Final orbitals
Iter  Restart  Krydim  log10(res)  avg(CG)  Δtime   Comment
----  -------  ------  ----------  -------  ------  ---------------
                                      72.9   1.58s  Non-interacting
   1        0       1        0.31     52.3   1.53s
   2        0       2       -0.52     46.9   1.32s
   3        0       3       -2.40     41.6   1.21s
   4        0       4       -4.46     29.6   969ms
   5        0       5       -6.46     17.4   711ms
   6        0       6       -8.91      4.0   426ms
   7        1       1       -7.85     55.4   1.85s  Restart
   8        1       2       -8.89      5.5   470ms
                                      72.7   1.76s  Final orbitals
Iter  Restart  Krydim  log10(res)  avg(CG)  Δtime   Comment
----  -------  ------  ----------  -------  ------  ---------------
                                      72.9   1.60s  Non-interacting
   1        0       1        0.31     52.3   1.53s
   2        0       2       -0.52     46.9   1.35s
   3        0       3       -2.40     41.6   1.21s
   4        0       4       -4.46     29.6   982ms
   5        0       5       -6.46     17.4   703ms
   6        0       6       -8.91      4.0   424ms
   7        1       1       -7.85     55.4   1.86s  Restart
   8        1       2       -8.89      5.5   451ms
                                      72.8   1.77s  Final orbitals
 86.673550 seconds (101.17 M allocations: 80.175 GiB, 8.22% gc time, 7.48% compilation time: 100% of which was recompilation)

These are the final phonon frequencies:

phret_q0.frequencies
6-element Vector{Float64}:
 -0.0034981553564837043
 -0.0029774511563585735
 -0.0029774511561556955
  0.004302230628190337
  0.004302230628502932
  0.004353201758421689