{
 "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   -11.14941988466                   -0.67    7.4\n",
      "  2   -11.15007241793       -3.19       -1.40    1.0\n",
      "  3   -11.15010792751       -4.45       -2.76    4.4\n",
      "  4   -11.15010941912       -5.83       -3.34    5.8\n",
      "  5   -11.15010943314       -7.85       -4.16    3.2\n",
      "  6   -11.15010943375       -9.21       -5.10    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: 0:00:29\u001b[K\rDiagonalising Hamiltonian kblocks:   6%|█               |  ETA: 0:00:24\u001b[K\rDiagonalising Hamiltonian kblocks:   8%|█▎              |  ETA: 0:00:22\u001b[K\rDiagonalising Hamiltonian kblocks:  10%|█▋              |  ETA: 0:00:20\u001b[K\rDiagonalising Hamiltonian kblocks:  12%|█▉              |  ETA: 0:00:18\u001b[K\rDiagonalising Hamiltonian kblocks:  14%|██▎             |  ETA: 0:00:17\u001b[K\rDiagonalising Hamiltonian kblocks:  16%|██▌             |  ETA: 0:00:17\u001b[K\rDiagonalising Hamiltonian kblocks:  18%|██▉             |  ETA: 0:00:15\u001b[K\rDiagonalising Hamiltonian kblocks:  20%|███▎            |  ETA: 0:00:14\u001b[K\rDiagonalising Hamiltonian kblocks:  22%|███▌            |  ETA: 0:00:14\u001b[K\rDiagonalising Hamiltonian kblocks:  24%|███▉            |  ETA: 0:00:13\u001b[K\rDiagonalising Hamiltonian kblocks:  26%|████▏           |  ETA: 0:00:13\u001b[K\rDiagonalising Hamiltonian kblocks:  28%|████▌           |  ETA: 0:00:12\u001b[K\rDiagonalising Hamiltonian kblocks:  30%|████▊           |  ETA: 0:00:12\u001b[K\rDiagonalising Hamiltonian kblocks:  32%|█████▏          |  ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks:  34%|█████▌          |  ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks:  36%|█████▊          |  ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks:  38%|██████▏         |  ETA: 0:00:10\u001b[K\rDiagonalising Hamiltonian kblocks:  40%|██████▍         |  ETA: 0:00:10\u001b[K\rDiagonalising Hamiltonian kblocks:  42%|██████▊         |  ETA: 0:00:10\u001b[K\rDiagonalising Hamiltonian kblocks:  44%|███████         |  ETA: 0:00:09\u001b[K\rDiagonalising Hamiltonian kblocks:  46%|███████▍        |  ETA: 0:00:09\u001b[K\rDiagonalising Hamiltonian kblocks:  48%|███████▋        |  ETA: 0:00:09\u001b[K\rDiagonalising Hamiltonian kblocks:  50%|████████        |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  52%|████████▍       |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  54%|████████▋       |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  56%|█████████       |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  58%|█████████▎      |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  60%|█████████▋      |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  62%|█████████▉      |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  64%|██████████▎     |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  66%|██████████▌     |  ETA: 0:00:05\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: 0:00:04\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: 0:00:03\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: 0:00:02\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: 0:00:02\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: 0:00:16\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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