{
 "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            log10(ΔE)   log10(Δρ)   Diag\n",
      "---   ---------------   ---------   ---------   ----\n",
      "  1   -11.14939304218                   -0.67    8.2\n",
      "  2   -11.15006961306       -3.17       -1.40    1.2\n",
      "  3   -11.15010796691       -4.42       -2.75    4.8\n",
      "  4   -11.15010941732       -5.84       -3.35    6.2\n",
      "  5   -11.15010943309       -7.80       -4.19    3.4\n",
      "  6   -11.15010943375       -9.18       -5.19    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, C]\n",
    "positions = [[0.0, 0.0, 0.0], [1//3, 2//3, 0.0]]\n",
    "model  = model_PBE(lattice, atoms, positions)\n",
    "basis  = PlaneWaveBasis(model; Ecut=15, kgrid=[5, 5, 1])\n",
    "nbandsalg = AdaptiveBands(basis; n_bands_converge=15)\n",
    "scfres = self_consistent_field(basis; nbandsalg, 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: 0:00:32\u001b[K\rDiagonalising Hamiltonian kblocks:   6%|█               |  ETA: 0:00:27\u001b[K\rDiagonalising Hamiltonian kblocks:   8%|█▎              |  ETA: 0:00:24\u001b[K\rDiagonalising Hamiltonian kblocks:  10%|█▋              |  ETA: 0:00:22\u001b[K\rDiagonalising Hamiltonian kblocks:  12%|█▉              |  ETA: 0:00:20\u001b[K\rDiagonalising Hamiltonian kblocks:  14%|██▎             |  ETA: 0:00:19\u001b[K\rDiagonalising Hamiltonian kblocks:  16%|██▌             |  ETA: 0:00:18\u001b[K\rDiagonalising Hamiltonian kblocks:  18%|██▉             |  ETA: 0:00:16\u001b[K\rDiagonalising Hamiltonian kblocks:  20%|███▎            |  ETA: 0:00:16\u001b[K\rDiagonalising Hamiltonian kblocks:  22%|███▌            |  ETA: 0:00:15\u001b[K\rDiagonalising Hamiltonian kblocks:  24%|███▉            |  ETA: 0:00:15\u001b[K\rDiagonalising Hamiltonian kblocks:  26%|████▏           |  ETA: 0:00:14\u001b[K\rDiagonalising Hamiltonian kblocks:  28%|████▌           |  ETA: 0:00:13\u001b[K\rDiagonalising Hamiltonian kblocks:  30%|████▊           |  ETA: 0:00:13\u001b[K\rDiagonalising Hamiltonian kblocks:  32%|█████▏          |  ETA: 0:00:12\u001b[K\rDiagonalising Hamiltonian kblocks:  34%|█████▌          |  ETA: 0:00:12\u001b[K\rDiagonalising Hamiltonian kblocks:  36%|█████▊          |  ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks:  38%|██████▏         |  ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks:  40%|██████▍         |  ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks:  42%|██████▊         |  ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks:  44%|███████         |  ETA: 0:00:10\u001b[K\rDiagonalising Hamiltonian kblocks:  46%|███████▍        |  ETA: 0:00:10\u001b[K\rDiagonalising Hamiltonian kblocks:  48%|███████▋        |  ETA: 0:00:09\u001b[K\rDiagonalising Hamiltonian kblocks:  50%|████████        |  ETA: 0:00:09\u001b[K\rDiagonalising Hamiltonian kblocks:  52%|████████▍       |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  54%|████████▋       |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  56%|█████████       |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  58%|█████████▎      |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  60%|█████████▋      |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  62%|█████████▉      |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  64%|██████████▎     |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  66%|██████████▌     |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  68%|██████████▉     |  ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks:  70%|███████████▎    |  ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks:  72%|███████████▌    |  ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks:  74%|███████████▉    |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  76%|████████████▏   |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  78%|████████████▌   |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  80%|████████████▊   |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  82%|█████████████▏  |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  84%|█████████████▌  |  ETA: 0:00:03\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: 0:00:02\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: 0:00:17\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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