{ "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 -11.14941143026 -0.67 8.0 \n", " 2 -11.15007196247 -3.18 -1.40 1.0 279ms\n", " 3 -11.15010729174 -4.45 -2.77 3.6 364ms\n", " 4 -11.15010941136 -5.67 -3.30 4.8 538ms\n", " 5 -11.15010943276 -7.67 -4.17 3.2 382ms\n", " 6 -11.15010943371 -9.02 -5.05 4.0 431ms\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: 0:00:21\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: 0:00:12\u001b[K\rDiagonalising Hamiltonian kblocks: 23%|███▋ | ETA: 0:00:11\u001b[K\rDiagonalising Hamiltonian kblocks: 25%|████ | ETA: 0:00:11\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: 0:00:09\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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"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 } ], "nbformat_minor": 3, "metadata": { "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.9.0" }, "kernelspec": { "name": "julia-1.9", "display_name": "Julia 1.9.0", "language": "julia" } }, "nbformat": 4 }