{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Pseudopotentials\n",
    "\n",
    "In this example, we'll look at how to use various pseudopotential (PSP)\n",
    "formats in DFTK and discuss briefly the utility and importance of\n",
    "pseudopotentials.\n",
    "\n",
    "Currently, DFTK supports norm-conserving (NC) PSPs in\n",
    "separable (Kleinman-Bylander) form. Two file formats can currently\n",
    "be read and used: analytical Hartwigsen-Goedecker-Hutter (HGH) PSPs\n",
    "and numeric Unified Pseudopotential Format (UPF) PSPs.\n",
    "\n",
    "In brief, the pseudopotential approach replaces the all-electron\n",
    "atomic potential with an effective atomic potential. In this pseudopotential,\n",
    "tightly-bound core electrons are completely eliminated (\"frozen\") and\n",
    "chemically-active valence electron wavefunctions are replaced with\n",
    "smooth pseudo-wavefunctions whose Fourier representations decay quickly.\n",
    "Both these transformations aim at reducing the number of Fourier modes required\n",
    "to accurately represent the wavefunction of the system, greatly increasing\n",
    "computational efficiency.\n",
    "\n",
    "Different PSP generation codes produce various file formats which contain the\n",
    "same general quantities required for pesudopotential evaluation. HGH PSPs\n",
    "are constructed from a fixed functional form based on Gaussians, and the files\n",
    "simply tablulate various coefficients fitted for a given element. UPF PSPs\n",
    "take a more flexible approach where the functional form used to generate the\n",
    "PSP is arbitrary, and the resulting functions are tabulated on a radial grid\n",
    "in the file. The UPF file format is documented here:\n",
    "http://pseudopotentials.quantum-espresso.org/home/unified-pseudopotential-format.\n",
    "\n",
    "In this example, we will compare the convergence of an analytical HGH PSP with\n",
    "a modern numeric norm-conserving PSP in UPF format from\n",
    "[PseudoDojo](http://www.pseudo-dojo.org/).\n",
    "Then, we will compare the bandstructure at the converged parameters calculated\n",
    "using the two PSPs."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "using DFTK\n",
    "using Unitful\n",
    "using Plots\n",
    "using LazyArtifacts\n",
    "import Main: @artifact_str # hide"
   ],
   "metadata": {},
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
   "source": [
    "Here, we will use a Perdew-Wang LDA PSP from [PseudoDojo](http://www.pseudo-dojo.org/),\n",
    "which is available in the JuliaMolSim\n",
    "[PseudoLibrary](https://github.com/JuliaMolSim/PseudoLibrary).\n",
    "Directories in PseudoLibrary correspond to artifacts that you can load using `artifact`\n",
    "strings which evaluate to a filepath on your local machine where the artifact has been\n",
    "downloaded."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "We load the HGH and UPF PSPs using `load_psp`, which determines the\n",
    "file format using the file extension. The `artifact` string literal resolves to the\n",
    "directory where the file is stored by the Artifacts system. So, if you have your own\n",
    "pseudopotential files, you can just provide the path to them as well."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "┌ Warning: using Pkg instead of using LazyArtifacts is deprecated\n",
      "│   caller = eval at boot.jl:368 [inlined]\n",
      "└ @ Core ./boot.jl:368\n",
      " Downloading artifact: pd_nc_sr_lda_standard_0.4.1_upf\n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "psp_hgh  = load_psp(\"hgh/lda/si-q4.hgh\");\n",
    "psp_upf  = load_psp(artifact\"pd_nc_sr_lda_standard_0.4.1_upf/Si.upf\");"
   ],
   "metadata": {},
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "source": [
    "First, we'll take a look at the energy cutoff convergence of these two pseudopotentials.\n",
    "For both pseudos, a reference energy is calculated with a cutoff of 140 Hartree, and\n",
    "SCF calculations are run at increasing cutoffs until 1 meV / atom convergence is reached."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "<img src=\"https://docs.dftk.org/stable/assets/si_pseudos_ecut_convergence.png\" width=600 height=400 />"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "The converged cutoffs are 26 Ha and 18 Ha for the HGH\n",
    "and UPF pseudos respectively. We see that the HGH pseudopotential\n",
    "is much *harder*, i.e. it requires a higher energy cutoff, than the UPF PSP. In general,\n",
    "numeric pseudopotentials tend to be softer than analytical pseudos because of the\n",
    "flexibility of sampling arbitrary functions on a grid."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "Next, to see that the different pseudopotentials give reasonbly similar results,\n",
    "we'll look at the bandstructures calculated using the HGH and UPF PSPs. Even though\n",
    "the convered cutoffs are higher, we perform these calculations with a cutoff of\n",
    "12 Ha for both PSPs."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "function run_bands(psp)\n",
    "    a = 10.26  # Silicon lattice constant in Bohr\n",
    "    lattice = a / 2 * [[0 1 1.];\n",
    "                       [1 0 1.];\n",
    "                       [1 1 0.]]\n",
    "    Si = ElementPsp(:Si; psp=psp)\n",
    "    atoms     = [Si, Si]\n",
    "    positions = [ones(3)/8, -ones(3)/8]\n",
    "\n",
    "    # These are (as you saw above) completely unconverged parameters\n",
    "    model = model_LDA(lattice, atoms, positions; temperature=1e-2)\n",
    "    basis = PlaneWaveBasis(model; Ecut=12, kgrid=(4, 4, 4))\n",
    "\n",
    "    scfres   = self_consistent_field(basis; tol=1e-4)\n",
    "    bandplot = plot_bandstructure(scfres)\n",
    "    (; scfres, bandplot)\n",
    "end;"
   ],
   "metadata": {},
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "source": [
    "The SCF and bandstructure calculations can then be performed using the two PSPs,\n",
    "where we notice in particular the difference in total energies."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n     Energy            log10(ΔE)   log10(Δρ)   Diag   Δtime\n",
      "---   ---------------   ---------   ---------   ----   ------\n",
      "  1   -7.920953199288                   -0.69    5.6         \n",
      "  2   -7.925541038471       -2.34       -1.22    1.8    364ms\n",
      "  3   -7.926164164865       -3.21       -2.43    2.9    420ms\n",
      "  4   -7.926189723901       -4.59       -3.00    4.0    538ms\n",
      "  5   -7.926189830012       -6.97       -4.07    2.2    375ms\n",
      "Computing bands along kpath:\n",
      "       Γ -> X -> U  and  K -> Γ -> L -> W -> X\n",
      "\rDiagonalising Hamiltonian kblocks:   2%|▎               |  ETA: 0:00:25\u001b[K\rDiagonalising Hamiltonian kblocks:   3%|▌               |  ETA: 0:00:25\u001b[K\rDiagonalising Hamiltonian kblocks:   4%|▋               |  ETA: 0:00:22\u001b[K\rDiagonalising Hamiltonian kblocks:   5%|▊               |  ETA: 0:00:20\u001b[K\rDiagonalising Hamiltonian kblocks:   6%|▉               |  ETA: 0:00:18\u001b[K\rDiagonalising Hamiltonian kblocks:   6%|█               |  ETA: 0:00:17\u001b[K\rDiagonalising Hamiltonian kblocks:   7%|█▏              |  ETA: 0:00:16\u001b[K\rDiagonalising Hamiltonian kblocks:   8%|█▍              |  ETA: 0:00:16\u001b[K\rDiagonalising Hamiltonian kblocks:   9%|█▌              |  ETA: 0:00:15\u001b[K\rDiagonalising Hamiltonian kblocks:  10%|█▋              |  ETA: 0:00:15\u001b[K\rDiagonalising Hamiltonian kblocks:  11%|█▊              |  ETA: 0:00:14\u001b[K\rDiagonalising Hamiltonian kblocks:  12%|█▉              |  ETA: 0:00:14\u001b[K\rDiagonalising 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     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Energy breakdown (in Ha):\n    Kinetic             3.1590373 \n    AtomicLocal         -2.1425345\n    AtomicNonlocal      1.6043388 \n    Ewald               -8.4004648\n    PspCorrection       -0.2948928\n    Hartree             0.5515890 \n    Xc                  -2.4001010\n    Entropy             -0.0031618\n\n    total               -7.926189830012"
     },
     "metadata": {},
     "execution_count": 4
    }
   ],
   "cell_type": "code",
   "source": [
    "result_hgh = run_bands(psp_hgh)\n",
    "result_hgh.scfres.energies"
   ],
   "metadata": {},
   "execution_count": 4
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n     Energy            log10(ΔE)   log10(Δρ)   Diag   Δtime\n",
      "---   ---------------   ---------   ---------   ----   ------\n",
      "  1   -8.515315596719                   -0.93    6.1         \n",
      "  2   -8.518474194911       -2.50       -1.44    1.5    416ms\n",
      "  3   -8.518844346707       -3.43       -2.80    3.5    458ms\n",
      "  4   -8.518860733028       -4.79       -3.21    4.8    600ms\n",
      "  5   -8.518860791427       -7.23       -3.56    2.1    391ms\n",
      "  6   -8.518860827005       -7.45       -4.82    1.8    369ms\n",
      "Computing bands along kpath:\n",
      "       Γ -> X -> U  and  K -> Γ -> L -> W -> X\n",
      "\rDiagonalising Hamiltonian kblocks:   2%|▎               |  ETA: 0:00:25\u001b[K\rDiagonalising Hamiltonian kblocks:   3%|▌               |  ETA: 0:00:21\u001b[K\rDiagonalising Hamiltonian kblocks:   4%|▋               |  ETA: 0:00:19\u001b[K\rDiagonalising Hamiltonian kblocks:   5%|▊               |  ETA: 0:00:17\u001b[K\rDiagonalising Hamiltonian kblocks:   6%|▉               |  ETA: 0:00:16\u001b[K\rDiagonalising Hamiltonian kblocks:   6%|█               |  ETA: 0:00:16\u001b[K\rDiagonalising Hamiltonian kblocks:   7%|█▏              |  ETA: 0:00:16\u001b[K\rDiagonalising Hamiltonian kblocks:   8%|█▍              |  ETA: 0:00:15\u001b[K\rDiagonalising Hamiltonian kblocks:   9%|█▌              |  ETA: 0:00:15\u001b[K\rDiagonalising Hamiltonian kblocks:  10%|█▋              |  ETA: 0:00:14\u001b[K\rDiagonalising Hamiltonian kblocks:  11%|█▊              |  ETA: 0:00:14\u001b[K\rDiagonalising Hamiltonian kblocks:  12%|█▉              |  ETA: 0:00:13\u001b[K\rDiagonalising 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     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Energy breakdown (in Ha):\n    Kinetic             3.0954145 \n    AtomicLocal         -2.3650731\n    AtomicNonlocal      1.3082660 \n    Ewald               -8.4004648\n    PspCorrection       0.3951970 \n    Hartree             0.5521845 \n    Xc                  -3.1011657\n    Entropy             -0.0032193\n\n    total               -8.518860827005"
     },
     "metadata": {},
     "execution_count": 5
    }
   ],
   "cell_type": "code",
   "source": [
    "result_upf = run_bands(psp_upf)\n",
    "result_upf.scfres.energies"
   ],
   "metadata": {},
   "execution_count": 5
  },
  {
   "cell_type": "markdown",
   "source": [
    "But while total energies are not physical and thus allowed to differ,\n",
    "the bands (as an example for a physical quantity) are very similar for both pseudos:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=116}",
      "image/png": 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     },
     "metadata": {},
     "execution_count": 6
    }
   ],
   "cell_type": "code",
   "source": [
    "plot(result_hgh.bandplot, result_upf.bandplot, titles=[\"HGH\" \"UPF\"], size=(800, 400))"
   ],
   "metadata": {},
   "execution_count": 6
  }
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