{ "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", "atoms = [Si, Si]\n", "positions = [ones(3)/8, -ones(3)/8]\n", "lattice = Si.lattice_constant / 2 .* [[0 1 1.]; [1 0 1.]; [1 1 0.]];" ], "metadata": {}, "execution_count": 1 }, { "cell_type": "markdown", "source": [ "Next we build the rather simple model and discretize it with moderate `Ecut`:" ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "model = Model(lattice, atoms, positions; terms=[Kinetic(), AtomicLocal()])\n", "basis = PlaneWaveBasis(model, Ecut=10.0, kgrid=(2, 2, 2));" ], "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": "0.4017310500217022" }, "metadata": {}, "execution_count": 3 } ], "cell_type": "code", "source": [ "ham = Hamiltonian(basis)\n", "eigres = diagonalize_all_kblocks(DFTK.lobpcg_hyper, ham, 6)\n", "εF = DFTK.compute_occupation(basis, eigres.λ).εF" ], "metadata": {}, "execution_count": 3 }, { "cell_type": "markdown", "source": [ "… and compute and plot 8 bands:" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "┌ Warning: Discarding DFTK-specific details for element type ElementCohenBergstresser (i.e. this element is treated as a ElementCoulomb).\n", "└ @ DFTK ~/work/DFTK.jl/DFTK.jl/src/external/atomsbase.jl:100\n", "┌ Warning: Discarding DFTK-specific details for element type ElementCohenBergstresser (i.e. this element is treated as a ElementCoulomb).\n", "└ @ DFTK ~/work/DFTK.jl/DFTK.jl/src/external/atomsbase.jl:100\n" ] }, { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=18}", "image/png": 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