{ "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 -11.14941566916 -0.67 8.2\n", " 2 -11.15007173609 -3.18 -1.40 1.0\n", " 3 -11.15010793918 -4.44 -2.75 4.6\n", " 4 -11.15010941591 -5.83 -3.35 5.8\n", " 5 -11.15010943301 -7.77 -4.18 3.2\n", " 6 -11.15010943375 -9.13 -5.21 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-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: 5%|▊ | ETA: 0:00:21\u001b[K\rDiagonalising Hamiltonian kblocks: 7%|█▏ | ETA: 0:00:18\u001b[K\rDiagonalising Hamiltonian kblocks: 9%|█▌ | ETA: 0:00:15\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: 0:00:09\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: 0:00:07\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: 0:00:03\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: 0:00:12\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": "1.8.3" }, "kernelspec": { "name": "julia-1.8", "display_name": "Julia 1.8.3", "language": "julia" } }, "nbformat": 4 }