{ "cells": [ { "cell_type": "markdown", "source": [ "# Cohen-Bergstresser model\n", "\n", "This example considers the Cohen-Bergstresser model[^CB1966],\n", "reproducing the results of the original paper. This model is particularly\n", "simple since its linear nature allows one to get away without any\n", "self-consistent field calculation.\n", "\n", "[^CB1966]: M. L. Cohen and T. K. Bergstresser Phys. Rev. **141**, 789 (1966) DOI [10.1103/PhysRev.141.789](https://doi.org/10.1103/PhysRev.141.789)" ], "metadata": {} }, { "cell_type": "markdown", "source": [ "We build the lattice using the tabulated lattice constant from the original paper,\n", "stored in DFTK:" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "using DFTK\n", "\n", "Si = ElementCohenBergstresser(:Si)\n", "lattice = Si.lattice_constant / 2 .* [[0 1 1.]; [1 0 1.]; [1 1 0.]]\n", "atoms = [Si => [ones(3)/8, -ones(3)/8]];" ], "metadata": {}, "execution_count": 1 }, { "cell_type": "markdown", "source": [ "Next we build the rather simple model and discretise it with moderate `Ecut`:" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "Ecut = 10.0\n", "model = Model(lattice; atoms=atoms, terms=[Kinetic(), AtomicLocal()])\n", "basis = PlaneWaveBasis(model, Ecut, kgrid=(1, 1, 1));" ], "metadata": {}, "execution_count": 2 }, { "cell_type": "markdown", "source": [ "We diagonalise at the Gamma point to find a Fermi level ..." ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "0.38429997671392707" }, "metadata": {}, "execution_count": 3 } ], "cell_type": "code", "source": [ "ham = Hamiltonian(basis)\n", "eigres = diagonalize_all_kblocks(DFTK.lobpcg_hyper, ham, 6)\n", "εF = DFTK.fermi_level(basis, eigres.λ)" ], "metadata": {}, "execution_count": 3 }, { "cell_type": "markdown", "source": [ "... and compute and plot 8 bands:" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing bands along kpath:\n", " Γ -> X -> W -> K -> Γ -> L -> U -> W -> L -> K and U -> X\n", "\rDiagonalising Hamiltonian kblocks: 2%|▍ | ETA: 0:00:15\u001b[K\rDiagonalising Hamiltonian kblocks: 9%|█▍ | ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks: 14%|██▎ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 20%|███▏ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 26%|████▏ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 33%|█████▎ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 39%|██████▎ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 46%|███████▎ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 52%|████████▍ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 60%|█████████▋ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 66%|██████████▋ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 73%|███████████▋ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 80%|████████████▉ | ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 87%|█████████████▉ | ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 93%|███████████████ | ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 100%|████████████████| Time: 0:00:01\u001b[K\n" ] }, { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=80}", "image/png": 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"\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, "metadata": {}, "execution_count": 4 } ], "cell_type": "code", "source": [ "using Plots\n", "\n", "n_bands = 8\n", "ρ0 = guess_density(basis) # Just dummy, has no meaning in this model\n", "p = plot_bandstructure(basis, ρ0, n_bands, εF=εF, kline_density=10)\n", "ylims!(p, (-5, 6))" ], "metadata": {}, "execution_count": 4 } ], "nbformat_minor": 3, "metadata": { "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.6.2" }, "kernelspec": { "name": "julia-1.6", "display_name": "Julia 1.6.2", "language": "julia" } }, "nbformat": 4 }