{ "cells": [ { "cell_type": "markdown", "source": [ "# Collinear spin and magnetic systems\n", "\n", "In this example we consider iron in the BCC phase.\n", "To show that this material is ferromagnetic we will model it once\n", "allowing collinear spin polarization and once without\n", "and compare the resulting SCF energies. In particular\n", "the ground state can only be found if collinear spins are allowed.\n", "\n", "First we setup BCC iron without spin polarization\n", "using a single iron atom inside the unit cell." ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "1-element Vector{Vector{Float64}}:\n [0.0, 0.0, 0.0]" }, "metadata": {}, "execution_count": 1 } ], "cell_type": "code", "source": [ "using DFTK\n", "\n", "a = 5.42352 # Bohr\n", "lattice = a / 2 * [[-1 1 1];\n", " [ 1 -1 1];\n", " [ 1 1 -1]]\n", "atoms = [ElementPsp(:Fe, psp=load_psp(\"hgh/lda/Fe-q8.hgh\"))]\n", "positions = [zeros(3)]" ], "metadata": {}, "execution_count": 1 }, { "cell_type": "markdown", "source": [ "To get the ground-state energy we use an LDA model and rather moderate\n", "discretisation parameters." ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n Energy log10(ΔE) log10(Δρ) Diag\n", "--- --------------- --------- --------- ----\n", " 1 -16.65012258459 -0.48 5.2\n", " 2 -16.65073338854 -3.21 -1.01 1.0\n", " 3 -16.65081793023 -4.07 -2.31 1.5\n", " 4 -16.65082463711 -5.17 -2.85 3.8\n", " 5 -16.65082470126 -7.19 -3.44 2.2\n" ] } ], "cell_type": "code", "source": [ "kgrid = [3, 3, 3] # k-point grid (Regular Monkhorst-Pack grid)\n", "Ecut = 15 # kinetic energy cutoff in Hartree\n", "model_nospin = model_LDA(lattice, atoms, positions, temperature=0.01)\n", "basis_nospin = PlaneWaveBasis(model_nospin; kgrid, Ecut)\n", "\n", "scfres_nospin = self_consistent_field(basis_nospin; tol=1e-6, mixing=KerkerDosMixing());" ], "metadata": {}, "execution_count": 2 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Energy breakdown (in Ha):\n Kinetic 15.9211401\n AtomicLocal -5.0695086\n AtomicNonlocal -5.2203783\n Ewald -21.4723040\n PspCorrection 1.8758831 \n Hartree 0.7793961 \n Xc -3.4467650\n Entropy -0.0182881\n\n total -16.650824701255" }, "metadata": {}, "execution_count": 3 } ], "cell_type": "code", "source": [ "scfres_nospin.energies" ], "metadata": {}, "execution_count": 3 }, { "cell_type": "markdown", "source": [ "Since we did not specify any initial magnetic moment on the iron atom,\n", "DFTK will automatically assume that a calculation with only spin-paired\n", "electrons should be performed. As a result the obtained ground state\n", "features no spin-polarization." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "Now we repeat the calculation, but give the iron atom an initial magnetic moment.\n", "For specifying the magnetic moment pass the desired excess of spin-up over spin-down\n", "electrons at each centre to the `Model` and the guess density functions.\n", "In this case we seek the state with as many spin-parallel\n", "``d``-electrons as possible. In our pseudopotential model the 8 valence\n", "electrons are 2 pair of ``s``-electrons, 1 pair of ``d``-electrons\n", "and 4 unpaired ``d``-electrons giving a desired magnetic moment of `4` at the iron centre.\n", "The structure (i.e. pair mapping and order) of the `magnetic_moments` array needs to agree\n", "with the `atoms` array and `0` magnetic moments need to be specified as well." ], "metadata": {} }, { "outputs": [], "cell_type": "code", "source": [ "magnetic_moments = [4];" ], "metadata": {}, "execution_count": 4 }, { "cell_type": "markdown", "source": [ "!!! tip \"Units of the magnetisation and magnetic moments in DFTK\"\n", " Unlike all other quantities magnetisation and magnetic moments in DFTK\n", " are given in units of the Bohr magneton ``μ_B``, which in atomic units has the\n", " value ``\\frac{1}{2}``. Since ``μ_B`` is (roughly) the magnetic moment of\n", " a single electron the advantage is that one can directly think of these\n", " quantities as the excess of spin-up electrons or spin-up electron density.\n", "\n", "We repeat the calculation using the same model as before. DFTK now detects\n", "the non-zero moment and switches to a collinear calculation." ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n Energy log10(ΔE) log10(Δρ) Magnet Diag\n", "--- --------------- --------- --------- ------ ----\n", " 1 -16.66198003403 -0.51 2.617 4.4\n", " 2 -16.66832467229 -2.20 -1.08 2.449 1.1\n", " 3 -16.66905448052 -3.14 -2.05 2.345 2.2\n", " 4 -16.66909659324 -4.38 -2.54 2.312 2.2\n", " 5 -16.66910301303 -5.19 -2.86 2.297 1.6\n", " 6 -16.66910443269 -5.85 -3.60 2.286 1.4\n", " 7 -16.66910446109 -7.55 -3.91 2.286 3.8\n" ] } ], "cell_type": "code", "source": [ "model = model_LDA(lattice, atoms, positions; magnetic_moments, temperature=0.01)\n", "basis = PlaneWaveBasis(model; Ecut, kgrid)\n", "ρ0 = guess_density(basis, magnetic_moments)\n", "scfres = self_consistent_field(basis, tol=1e-6; ρ=ρ0, mixing=KerkerDosMixing());" ], "metadata": {}, "execution_count": 5 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Energy breakdown (in Ha):\n Kinetic 16.2944738\n AtomicLocal -5.2225710\n AtomicNonlocal -5.4098891\n Ewald -21.4723040\n PspCorrection 1.8758831 \n Hartree 0.8191494 \n Xc -3.5406864\n Entropy -0.0131601\n\n total -16.669104461094" }, "metadata": {}, "execution_count": 6 } ], "cell_type": "code", "source": [ "scfres.energies" ], "metadata": {}, "execution_count": 6 }, { "cell_type": "markdown", "source": [ "!!! note \"Model and magnetic moments\"\n", " DFTK does not store the `magnetic_moments` inside the `Model`, but only uses them\n", " to determine the lattice symmetries. This step was taken to keep `Model`\n", " (which contains the physical model) independent of the details of the numerical details\n", " such as the initial guess for the spin density.\n", "\n", "In direct comparison we notice the first, spin-paired calculation to be\n", "a little higher in energy" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "No magnetization: -16.650824701255225\n", "Magnetic case: -16.66910446109382\n", "Difference: -0.01827975983859531\n" ] } ], "cell_type": "code", "source": [ "println(\"No magnetization: \", scfres_nospin.energies.total)\n", "println(\"Magnetic case: \", scfres.energies.total)\n", "println(\"Difference: \", scfres.energies.total - scfres_nospin.energies.total);" ], "metadata": {}, "execution_count": 7 }, { "cell_type": "markdown", "source": [ "Notice that with the small cutoffs we use to generate the online\n", "documentation the calculation is far from converged.\n", "With more realistic parameters a larger energy difference of about\n", "0.1 Hartree is obtained." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "The spin polarization in the magnetic case is visible if we\n", "consider the occupation of the spin-up and spin-down Kohn-Sham orbitals.\n", "Especially for the ``d``-orbitals these differ rather drastically.\n", "For example for the first ``k``-point:" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(scfres.occupation[iup])[1:7] = [1.0, 0.9999987822057741, 0.9999987822057737, 0.999998782205773, 0.9582276496819255, 0.9582276496815275, 1.1272536696453396e-29]\n", "(scfres.occupation[idown])[1:7] = [1.0, 0.843573447769771, 0.843573447985772, 0.8435734478493384, 8.117455089582969e-6, 8.11745508958216e-6, 1.625155209185423e-32]\n" ] } ], "cell_type": "code", "source": [ "iup = 1\n", "idown = iup + length(scfres.basis.kpoints) ÷ 2\n", "@show scfres.occupation[iup][1:7]\n", "@show scfres.occupation[idown][1:7];" ], "metadata": {}, "execution_count": 8 }, { "cell_type": "markdown", "source": [ "Similarly the eigenvalues differ" ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(scfres.eigenvalues[iup])[1:7] = [-0.0693618539150093, 0.3568856332874789, 0.35688563329182155, 0.35688563329728995, 0.46174180723354075, 0.46174180723364017, 1.1596221486134588]\n", "(scfres.eigenvalues[idown])[1:7] = [-0.03125943440218139, 0.47621971070019375, 0.47621971068382474, 0.47621971069416397, 0.6102851720626807, 0.6102851720626817, 1.2250415110947248]\n" ] } ], "cell_type": "code", "source": [ "@show scfres.eigenvalues[iup][1:7]\n", "@show scfres.eigenvalues[idown][1:7];" ], "metadata": {}, "execution_count": 9 }, { "cell_type": "markdown", "source": [ "!!! note \"k-points in collinear calculations\"\n", " For collinear calculations the `kpoints` field of the `PlaneWaveBasis` object contains\n", " each ``k``-point coordinate twice, once associated with spin-up and once with down-down.\n", " The list first contains all spin-up ``k``-points and then all spin-down ``k``-points,\n", " such that `iup` and `idown` index the same ``k``-point, but differing spins." ], "metadata": {} }, { "cell_type": "markdown", "source": [ "We can observe the spin-polarization by looking at the density of states (DOS)\n", "around the Fermi level, where the spin-up and spin-down DOS differ." ], "metadata": {} }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=3}", "image/png": "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", "text/html": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, "metadata": {}, "execution_count": 10 } ], "cell_type": "code", "source": [ "using Plots\n", "plot_dos(scfres)" ], "metadata": {}, "execution_count": 10 }, { "cell_type": "markdown", "source": [ "Similarly the band structure shows clear differences between both spin components." ], "metadata": {} }, { "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computing bands along kpath:\n", " Γ -> H -> N -> Γ -> P -> H and P -> N\n", "\rDiagonalising Hamiltonian kblocks: 3%|▌ | ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks: 43%|██████▉ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 50%|████████ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 54%|████████▋ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 59%|█████████▍ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 64%|██████████▎ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 70%|███████████▎ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 76%|████████████▏ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 80%|████████████▊ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 86%|█████████████▊ | ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 91%|██████████████▋ | ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 96%|███████████████▍| ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 100%|████████████████| Time: 0:00:02\u001b[K\n" ] }, { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=420}", "image/png": "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", "text/html": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "image/svg+xml": [ "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, "metadata": {}, "execution_count": 11 } ], "cell_type": "code", "source": [ "using Unitful\n", "using UnitfulAtomic\n", "plot_bandstructure(scfres; kline_density=6)" ], "metadata": {}, "execution_count": 11 } ], "nbformat_minor": 3, "metadata": { "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.7.3" }, "kernelspec": { "name": "julia-1.7", "display_name": "Julia 1.7.3", "language": "julia" } }, "nbformat": 4 }