{
 "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   -11.14941332251                   -0.67    8.2         \n",
      "  2   -11.15007169006       -3.18       -1.40    1.0    331ms\n",
      "  3   -11.15010721283       -4.45       -2.77    3.6    440ms\n",
      "  4   -11.15010941095       -5.66       -3.31    4.8    661ms\n",
      "  5   -11.15010943269       -7.66       -4.17    2.4    433ms\n",
      "  6   -11.15010943370       -9.00       -5.05    4.0    589ms\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: 0:00:24\u001b[K\rDiagonalising Hamiltonian kblocks:   7%|█▏              |  ETA: 0:00:20\u001b[K\rDiagonalising Hamiltonian kblocks:   9%|█▌              |  ETA: 0:00:18\u001b[K\rDiagonalising Hamiltonian kblocks:  11%|█▉              |  ETA: 0:00:17\u001b[K\rDiagonalising Hamiltonian kblocks:  14%|██▏             |  ETA: 0:00:15\u001b[K\rDiagonalising Hamiltonian kblocks:  16%|██▌             |  ETA: 0:00:14\u001b[K\rDiagonalising Hamiltonian kblocks:  18%|██▉             |  ETA: 0:00:14\u001b[K\rDiagonalising Hamiltonian kblocks:  20%|███▎            |  ETA: 0:00:13\u001b[K\rDiagonalising Hamiltonian kblocks:  23%|███▋            |  ETA: 0:00:13\u001b[K\rDiagonalising Hamiltonian kblocks:  25%|████            |  ETA: 0:00:12\u001b[K\rDiagonalising Hamiltonian kblocks:  27%|████▍           |  ETA: 0:00:12\u001b[K\rDiagonalising Hamiltonian kblocks:  30%|████▊           |  ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks:  32%|█████▏          |  ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks:  34%|█████▌          |  ETA: 0:00:10\u001b[K\rDiagonalising Hamiltonian kblocks:  36%|█████▉          |  ETA: 0:00:10\u001b[K\rDiagonalising Hamiltonian kblocks:  39%|██████▏         |  ETA: 0:00:10\u001b[K\rDiagonalising Hamiltonian kblocks:  41%|██████▌         |  ETA: 0:00:09\u001b[K\rDiagonalising Hamiltonian kblocks:  43%|██████▉         |  ETA: 0:00:09\u001b[K\rDiagonalising Hamiltonian kblocks:  45%|███████▎        |  ETA: 0:00:09\u001b[K\rDiagonalising Hamiltonian kblocks:  48%|███████▋        |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  50%|████████        |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  52%|████████▍       |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  55%|████████▊       |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  57%|█████████▏      |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  59%|█████████▌      |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  61%|█████████▉      |  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: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  73%|███████████▋    |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  75%|████████████    |  ETA: 0:00:04\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: 0:00:03\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:  89%|██████████████▏ |  ETA: 0:00:02\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: 0:00:15\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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