{ "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": [], "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", "Fe = ElementPsp(:Fe, psp=load_psp(\"hgh/lda/Fe-q8.hgh\"))\n", "atoms = [Fe => [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 Free energy Eₙ-Eₙ₋₁ ρout-ρin Diag\n", "--- --------------- --------- -------- ----\n", " 1 -16.64710644496 NaN 3.28e-01 5.3 \n", " 2 -16.64775344171 -6.47e-04 7.80e-02 1.0 \n", " 3 -16.64782372959 -7.03e-05 3.31e-03 1.5 \n", " 4 -16.64783263309 -8.90e-06 1.97e-03 3.0 \n", " 5 -16.64783417094 -1.54e-06 3.83e-04 1.3 \n", " 6 -16.64783430269 -1.32e-07 1.15e-04 2.0 \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, temperature=0.01)\n", "basis_nospin = PlaneWaveBasis(model_nospin, Ecut; kgrid=kgrid)\n", "\n", "scfres_nospin = self_consistent_field(basis_nospin, tol=1e-6, mixing=KerkerMixing());" ], "metadata": {}, "execution_count": 2 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Energy breakdown:\n Kinetic 15.9216550\n AtomicLocal -5.0696949\n AtomicNonlocal -5.2207365\n Ewald -21.4723040\n PspCorrection 1.8758831 \n Hartree 0.7794475 \n Xc -3.4437966\n Entropy -0.0182879\n\n total -16.647834302685\n" }, "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 = [Fe => [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 Free energy Eₙ-Eₙ₋₁ ρout-ρin Magnet Diag\n", "--- --------------- --------- -------- ------ ----\n", " 1 -16.65997557952 NaN 3.41e-01 2.620 4.4 \n", " 2 -16.66626132854 -6.29e-03 6.92e-02 2.428 1.0 \n", " 3 -16.66694042931 -6.79e-04 8.39e-03 2.349 2.3 \n", " 4 -16.66698659535 -4.62e-05 3.58e-03 2.320 2.1 \n", " 5 -16.66699463355 -8.04e-06 6.51e-04 2.309 1.8 \n", " 6 -16.66699628692 -1.65e-06 3.69e-04 2.301 2.0 \n", " 7 -16.66699652148 -2.35e-07 2.38e-05 2.297 1.8 \n" ] } ], "cell_type": "code", "source": [ "model = model_LDA(lattice, atoms, magnetic_moments=magnetic_moments, temperature=0.01)\n", "basis = PlaneWaveBasis(model, Ecut; kgrid=kgrid)\n", "ρspin = guess_spin_density(basis, magnetic_moments)\n", "scfres = self_consistent_field(basis, tol=1e-6, ρspin=ρspin, mixing=KerkerMixing());" ], "metadata": {}, "execution_count": 5 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Energy breakdown:\n Kinetic 16.3014893\n AtomicLocal -5.2260240\n AtomicNonlocal -5.4135711\n Ewald -21.4723040\n PspCorrection 1.8758831 \n Hartree 0.8201303 \n Xc -3.5395207\n Entropy -0.0130794\n\n total -16.666996521484\n" }, "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: -16.647834302685162\n", "Magnetic case: -16.666996521484243\n", "Difference: -0.019162218799081643\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, 0.9999988138523369, 0.999998813833786, 0.9999988137956008, 0.9585658340804556, 0.9585646006518466, 1.1539060153601298e-29]\n", "(scfres.occupation[idown])[1:7] = [1.0, 0.8327480730213861, 0.8327475115516983, 0.8327458272749292, 7.843852039537733e-6, 7.84349347070197e-6, 1.549880621683895e-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] = [-0.06926528960632101, 0.35688395016765984, 0.35688410656272357, 0.3568844284798376, 0.4619186115028311, 0.46191892204979423, 1.159650085652049]\n", "(scfres.eigenvalues[idown])[1:7] = [-0.030408449041567524, 0.47727963648062566, 0.4772796767932402, 0.4772797977209364, 0.6108896625946061, 0.6108901197422454, 1.2257773865676413]\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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"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: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks: 10%|█▋ | ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks: 15%|██▌ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 21%|███▎ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 26%|████▏ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 31%|████▉ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 35%|█████▌ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 40%|██████▍ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 44%|███████ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 47%|███████▋ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 51%|████████▎ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 55%|████████▉ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 60%|█████████▋ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 65%|██████████▌ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 71%|███████████▎ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 74%|███████████▉ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 79%|████████████▊ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 85%|█████████████▌ | ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 90%|██████████████▍ | ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 95%|███████████████▏| 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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