{
 "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   -11.14940978348                   -0.67    7.4\n",
      "  2   -11.15007136244       -3.18       -1.40    1.0\n",
      "  3   -11.15010799190       -4.44       -2.76    4.6\n",
      "  4   -11.15010941859       -5.85       -3.35    5.6\n",
      "  5   -11.15010943308       -7.84       -4.17    3.2\n",
      "  6   -11.15010943375       -9.17       -5.12    4.4\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",
    "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: 0:00:12\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: 0:00:10\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: 0:00:09\u001b[K\rDiagonalising Hamiltonian kblocks:  40%|██████▍         |  ETA: 0:00:09\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: 0:00:07\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: 0:00:06\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:  76%|████████████▏   |  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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