{
 "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   -11.14942674069         NaN   2.14e-01   0.80    7.2\n",
      "  2   -11.15008347023   -6.57e-04   3.99e-02   0.80    1.0\n",
      "  3   -11.15012008922   -3.66e-05   1.74e-03   0.80    5.0\n",
      "  4   -11.15012158010   -1.49e-06   4.53e-04   0.80    5.6\n",
      "  5   -11.15012159447   -1.44e-08   6.70e-05   0.80    3.6\n",
      "  6   -11.15012159502   -5.51e-10   7.95e-06   0.80    4.0\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: 0:00:24\u001b[K\rDiagonalising Hamiltonian kblocks:   6%|█               |  ETA: 0:00:20\u001b[K\rDiagonalising Hamiltonian kblocks:   8%|█▎              |  ETA: 0:00:18\u001b[K\rDiagonalising Hamiltonian kblocks:  10%|█▋              |  ETA: 0:00:16\u001b[K\rDiagonalising Hamiltonian kblocks:  12%|█▉              |  ETA: 0:00:15\u001b[K\rDiagonalising Hamiltonian kblocks:  14%|██▎             |  ETA: 0:00:14\u001b[K\rDiagonalising Hamiltonian kblocks:  16%|██▌             |  ETA: 0:00:14\u001b[K\rDiagonalising Hamiltonian kblocks:  20%|███▎            |  ETA: 0:00:12\u001b[K\rDiagonalising Hamiltonian kblocks:  22%|███▌            |  ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks:  24%|███▉            |  ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks:  26%|████▏           |  ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks:  30%|████▊           |  ETA: 0:00:10\u001b[K\rDiagonalising Hamiltonian kblocks:  32%|█████▏          |  ETA: 0:00:09\u001b[K\rDiagonalising Hamiltonian kblocks:  34%|█████▌          |  ETA: 0:00:09\u001b[K\rDiagonalising Hamiltonian kblocks:  36%|█████▊          |  ETA: 0:00:09\u001b[K\rDiagonalising Hamiltonian kblocks:  38%|██████▏         |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  40%|██████▍         |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  42%|██████▊         |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  44%|███████         |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  48%|███████▋        |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  52%|████████▍       |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  54%|████████▋       |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  56%|█████████       |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  58%|█████████▎      |  ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks:  60%|█████████▋      |  ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks:  62%|█████████▉      |  ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks:  64%|██████████▎     |  ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks:  68%|██████████▉     |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  70%|███████████▎    |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  72%|███████████▌    |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  74%|███████████▉    |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  78%|████████████▌   |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  80%|████████████▊   |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  82%|█████████████▏  |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  84%|█████████████▌  |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  86%|█████████████▊  |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  88%|██████████████▏ |  ETA: 0:00:02\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: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  98%|███████████████▋|  ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 100%|████████████████| Time: 0:00:13\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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