{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Wannierization using Wannier90\n",
    "\n",
    "DFTK features an interface with the program\n",
    "[Wannier90](http://www.wannier.org/),\n",
    "in order to compute maximally-localized Wannier functions (MLWFs)\n",
    "from an initial self consistent field calculation.\n",
    "All processes are handled by calling the routine `run_wannier90`.\n",
    "\n",
    "!!! warning \"No guarantees on Wannier90 interface\"\n",
    "    This code is at an early stage and has so far not been fully tested.\n",
    "    Bugs are likely and we welcome issues in case you find any!\n",
    "\n",
    "This example shows how to obtain the MLWFs corresponding\n",
    "to the first five bands of graphene. Since the bands 2 to 11 are entangled,\n",
    "15 bands are first computed to obtain 5 MLWFs by a disantanglement procedure."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n     Energy            Eₙ-Eₙ₋₁     ρout-ρin   α      Diag\n",
      "---   ---------------   ---------   --------   ----   ----\n",
      "  1   -11.14943413381         NaN   2.14e-01   0.80    6.6\n",
      "  2   -11.15008450232   -6.50e-04   3.98e-02   0.80    1.6\n",
      "  3   -11.15012012930   -3.56e-05   1.74e-03   0.80    4.6\n",
      "  4   -11.15012157915   -1.45e-06   4.49e-04   0.80    5.6\n",
      "  5   -11.15012159432   -1.52e-08   6.61e-05   0.80    3.4\n",
      "  6   -11.15012159504   -7.19e-10   7.20e-06   0.80    3.8\n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "using DFTK\n",
    "using Unitful\n",
    "using UnitfulAtomic\n",
    "\n",
    "d = 10u\"Å\"\n",
    "a = 2.641u\"Å\"  # Graphene Lattice constant\n",
    "lattice = [a  -a/2    0;\n",
    "           0  √3*a/2  0;\n",
    "           0     0    d]\n",
    "\n",
    "C = ElementPsp(:C, psp=load_psp(\"hgh/pbe/c-q4\"))\n",
    "atoms  = [C => [[0.0, 0.0, 0.0], [1//3, 2//3, 0.0]]]\n",
    "model  = model_PBE(lattice, atoms)\n",
    "basis  = PlaneWaveBasis(model; Ecut=15, kgrid=[5, 5, 1])\n",
    "scfres = self_consistent_field(basis; n_bands=15, tol=1e-8);"
   ],
   "metadata": {},
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
   "source": [
    "Plot bandstructure of the system"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Computing bands along kpath:\n",
      "       Γ -> M -> K -> Γ -> A -> L -> H -> A  and  L -> M  and  H -> K\n",
      "\rDiagonalising Hamiltonian kblocks:   4%|▋               |  ETA: 0:00:17\u001b[K\rDiagonalising Hamiltonian kblocks:   6%|█               |  ETA: 0:00:15\u001b[K\rDiagonalising Hamiltonian kblocks:   8%|█▎              |  ETA: 0:00:13\u001b[K\rDiagonalising Hamiltonian kblocks:  10%|█▋              |  ETA: 0:00:12\u001b[K\rDiagonalising Hamiltonian kblocks:  12%|█▉              |  ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks:  14%|██▎             |  ETA: 0:00:10\u001b[K\rDiagonalising Hamiltonian kblocks:  16%|██▌             |  ETA: 0:00:10\u001b[K\rDiagonalising Hamiltonian kblocks:  20%|███▎            |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  22%|███▌            |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  24%|███▉            |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  26%|████▏           |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  30%|████▊           |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  32%|█████▏          |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  34%|█████▌          |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  36%|█████▊          |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  38%|██████▏         |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  40%|██████▍         |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  42%|██████▊         |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  44%|███████         |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  48%|███████▋        |  ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks:  52%|████████▍       |  ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks:  54%|████████▋       |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  56%|█████████       |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  58%|█████████▎      |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  60%|█████████▋      |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  62%|█████████▉      |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  64%|██████████▎     |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  68%|██████████▉     |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  70%|███████████▎    |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  72%|███████████▌    |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  74%|███████████▉    |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  78%|████████████▌   |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  80%|████████████▊   |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  82%|█████████████▏  |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  84%|█████████████▌  |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  86%|█████████████▊  |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  88%|██████████████▏ |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  90%|██████████████▍ |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  92%|██████████████▊ |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  94%|███████████████ |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  96%|███████████████▍|  ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks:  98%|███████████████▋|  ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 100%|████████████████| Time: 0:00:09\u001b[K\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=480}",
      "image/png": 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      ]
     },
     "metadata": {},
     "execution_count": 2
    }
   ],
   "cell_type": "code",
   "source": [
    "plot_bandstructure(scfres; kline_density=10)"
   ],
   "metadata": {},
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "source": [
    "Now we use the `run_wannier90` routine to generate all files needed by\n",
    "wannier90 and to perform the wannierization procedure.\n",
    "In Wannier90's convention, all files are named with the same prefix and only differ by\n",
    "their extensions. By default all generated input and output files are stored\n",
    "in the subfolder \"wannier90\" under the prefix \"wannier\" (i.e. \"wannier90/wannier.win\",\n",
    "\"wannier90/wannier.wout\", etc.). A different file prefix can be given with the\n",
    "keyword argument `fileprefix` as shown below.\n",
    "\n",
    "We now solve for 5 MLWF using wannier90:"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "using wannier90_jll  # Needed to make run_wannier90 available\n",
    "run_wannier90(scfres;\n",
    "              fileprefix=\"wannier/graphene\",\n",
    "              n_wannier=5,\n",
    "              num_print_cycles=25,\n",
    "              num_iter=200,\n",
    "              #\n",
    "              dis_win_max=19.0,\n",
    "              dis_froz_max=0.1,\n",
    "              dis_num_iter=300,\n",
    "              dis_mix_ratio=1.0,\n",
    "              #\n",
    "              wannier_plot=true,\n",
    "              wannier_plot_format=\"cube\",\n",
    "              wannier_plot_supercell=5,\n",
    "              write_xyz=true,\n",
    "              translate_home_cell=true,\n",
    "             );"
   ],
   "metadata": {},
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "source": [
    "As can be observed standard optional arguments for the disentanglement\n",
    "can be passed directly to `run_wannier90` as keyword arguments."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "delete temporary files:"
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "rm(\"wannier\", recursive=true)"
   ],
   "metadata": {},
   "execution_count": 4
  }
 ],
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