{
 "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   -11.14942222604                   -0.67    7.2\n",
      "  2   -11.15007201805       -3.19       -1.40    1.0\n",
      "  3   -11.15010792698       -4.44       -2.76    4.2\n",
      "  4   -11.15010941910       -5.83       -3.34    6.0\n",
      "  5   -11.15010943314       -7.85       -4.18    3.6\n",
      "  6   -11.15010943375       -9.21       -5.11    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",
    "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: 0:00:09\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: 0:00:06\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:  66%|██████████▌     |  ETA: 0:00:04\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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       "</svg>\n"
      ]
     },
     "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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