{
 "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   -11.14939919001                   -0.67    8.8\n",
      "  2   -11.15007081381       -3.17       -1.40    1.0\n",
      "  3   -11.15010711573       -4.44       -2.77    3.0\n",
      "  4   -11.15010941085       -5.64       -3.29    5.2\n",
      "  5   -11.15010943274       -7.66       -4.11    2.2\n",
      "  6   -11.15010943369       -9.02       -5.05    4.6\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-5);"
   ],
   "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:   5%|▊               |  ETA: 0:00:21\u001b[K\rDiagonalising Hamiltonian kblocks:   7%|█▏              |  ETA: 0:00:18\u001b[K\rDiagonalising Hamiltonian kblocks:   9%|█▌              |  ETA: 0:00:16\u001b[K\rDiagonalising Hamiltonian kblocks:  11%|█▉              |  ETA: 0:00:14\u001b[K\rDiagonalising Hamiltonian kblocks:  14%|██▏             |  ETA: 0:00:13\u001b[K\rDiagonalising Hamiltonian kblocks:  16%|██▌             |  ETA: 0:00:12\u001b[K\rDiagonalising Hamiltonian kblocks:  18%|██▉             |  ETA: 0:00:12\u001b[K\rDiagonalising Hamiltonian kblocks:  20%|███▎            |  ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks:  23%|███▋            |  ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks:  25%|████            |  ETA: 0:00:10\u001b[K\rDiagonalising Hamiltonian kblocks:  27%|████▍           |  ETA: 0:00:10\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: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  39%|██████▏         |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  41%|██████▌         |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  43%|██████▉         |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  45%|███████▎        |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  48%|███████▋        |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  50%|████████        |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  52%|████████▍       |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  55%|████████▊       |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  57%|█████████▏      |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  59%|█████████▌      |  ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks:  61%|█████████▉      |  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:  73%|███████████▋    |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  75%|████████████    |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  77%|████████████▍   |  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:  89%|██████████████▏ |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  91%|██████████████▌ |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  93%|██████████████▉ |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  95%|███████████████▎|  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=123}",
      "image/png": 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       "  1754.09,789.864 1803.29,730.452 1852.48,806.072 1901.68,888.678 1950.87,969.544 2000.07,1039.94 2049.26,1053.79 2098.46,992.4 2147.65,950.964 2196.85,936.45 \n",
       "  \n",
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       "  \"/>\n",
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       "<polyline clip-path=\"url(#clip662)\" style=\"stroke:#0000ff; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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       "  \"/>\n",
       "<circle clip-path=\"url(#clip662)\" cx=\"2274.8\" cy=\"730.452\" r=\"7.2\" fill=\"#0000ff\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"/>\n",
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       "  256.556,494.352 305.246,484.585 353.936,455.14 402.627,406.166 451.317,361.814 500.007,476.639 548.697,576.01 597.387,625.64 646.582,627.631 695.777,641.027 \n",
       "  744.972,672.898 794.167,730.491 843.361,653.296 892.556,563.295 941.751,463.024 990.946,355.574 1040.14,404.262 1089.34,454.31 1138.53,484.363 1187.72,494.352 \n",
       "  1265.68,467.744 1314.37,458.024 1363.06,428.926 1411.75,380.505 1460.44,362.821 1509.13,474.865 1557.82,575.577 1606.51,622.226 1655.71,626.195 1704.9,639.939 \n",
       "  1754.09,673.143 1803.29,730.452 1852.48,654.459 1901.68,564.275 1950.87,463.375 2000.07,356.319 2049.26,378.623 2098.46,428.124 2147.65,457.855 2196.85,467.744 \n",
       "  \n",
       "  \"/>\n",
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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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