{
 "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   Δtime\n",
      "---   ---------------   ---------   ---------   ----   ------\n",
      "  1   -11.14941361083                   -0.67    8.2         \n",
      "  2   -11.15007195902       -3.18       -1.40    1.2    386ms\n",
      "  3   -11.15010724177       -4.45       -2.77    3.4    506ms\n",
      "  4   -11.15010941029       -5.66       -3.30    4.6    748ms\n",
      "  5   -11.15010943263       -7.65       -4.15    2.8    493ms\n",
      "  6   -11.15010943369       -8.98       -5.04    3.6    608ms\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.model; 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: 0:00:29\u001b[K\rDiagonalising Hamiltonian kblocks:   7%|█▏              |  ETA: 0:00:24\u001b[K\rDiagonalising Hamiltonian kblocks:   9%|█▌              |  ETA: 0:00:21\u001b[K\rDiagonalising Hamiltonian kblocks:  11%|█▉              |  ETA: 0:00:19\u001b[K\rDiagonalising Hamiltonian kblocks:  14%|██▏             |  ETA: 0:00:18\u001b[K\rDiagonalising Hamiltonian kblocks:  16%|██▌             |  ETA: 0:00:16\u001b[K\rDiagonalising Hamiltonian kblocks:  18%|██▉             |  ETA: 0:00:16\u001b[K\rDiagonalising Hamiltonian kblocks:  20%|███▎            |  ETA: 0:00:15\u001b[K\rDiagonalising Hamiltonian kblocks:  23%|███▋            |  ETA: 0:00:15\u001b[K\rDiagonalising Hamiltonian kblocks:  25%|████            |  ETA: 0:00:14\u001b[K\rDiagonalising Hamiltonian kblocks:  27%|████▍           |  ETA: 0:00:14\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:  39%|██████▏         |  ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks:  41%|██████▌         |  ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks:  43%|██████▉         |  ETA: 0:00:10\u001b[K\rDiagonalising Hamiltonian kblocks:  45%|███████▎        |  ETA: 0:00:10\u001b[K\rDiagonalising Hamiltonian kblocks:  48%|███████▋        |  ETA: 0:00:10\u001b[K\rDiagonalising Hamiltonian kblocks:  50%|████████        |  ETA: 0:00:09\u001b[K\rDiagonalising Hamiltonian kblocks:  52%|████████▍       |  ETA: 0:00:09\u001b[K\rDiagonalising Hamiltonian kblocks:  55%|████████▊       |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  57%|█████████▏      |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  59%|█████████▌      |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  61%|█████████▉      |  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: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  70%|███████████▎    |  ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks:  73%|███████████▋    |  ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks:  75%|████████████    |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  77%|████████████▍   |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  80%|████████████▊   |  ETA: 0:00:04\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:  89%|██████████████▏ |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  91%|██████████████▌ |  ETA: 0:00:02\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: 0:00:18\u001b[K\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=123}",
      "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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