{ "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 α Diag\n", "--- --------------- --------- -------- ---- ----\n", " 1 -16.64707741529 NaN 3.28e-01 0.80 5.0\n", " 2 -16.64775238495 -6.75e-04 7.78e-02 0.80 1.0\n", " 3 -16.64782698467 -7.46e-05 3.19e-03 0.80 2.2\n", " 4 -16.64783335296 -6.37e-06 1.54e-03 0.80 3.5\n", " 5 -16.64783428973 -9.37e-07 1.97e-04 0.80 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; kgrid, Ecut)\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 15.9236257\n AtomicLocal -5.0708217\n AtomicNonlocal -5.2218032\n Ewald -21.4723040\n PspCorrection 1.8758831 \n Hartree 0.7797752 \n Xc -3.4439002\n Entropy -0.0182891\n\n total -16.647834289730\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 α Diag\n", "--- --------------- --------- -------- ------ ---- ----\n", " 1 -16.65996073325 NaN 3.11e-01 2.620 0.80 4.5\n", " 2 -16.66626109538 -6.30e-03 6.98e-02 2.428 0.80 1.0\n", " 3 -16.66694859769 -6.88e-04 9.42e-03 2.349 0.80 2.9\n", " 4 -16.66698687690 -3.83e-05 4.34e-03 2.320 0.80 2.9\n", " 5 -16.66699445541 -7.58e-06 1.78e-03 2.309 0.80 2.2\n", " 6 -16.66699630871 -1.85e-06 5.55e-04 2.301 0.80 1.5\n", " 7 -16.66699651926 -2.11e-07 4.49e-05 2.297 0.80 1.5\n" ] } ], "cell_type": "code", "source": [ "model = model_LDA(lattice, atoms, magnetic_moments=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=KerkerMixing());" ], "metadata": {}, "execution_count": 5 }, { "outputs": [ { "output_type": "execute_result", "data": { "text/plain": "Energy breakdown:\n Kinetic 16.3014764\n AtomicLocal -5.2260055\n AtomicNonlocal -5.4135560\n Ewald -21.4723040\n PspCorrection 1.8758831 \n Hartree 0.8201244 \n Xc -3.5395371\n Entropy -0.0130777\n\n total -16.666996519264\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: -16.647834289729897\n", "Magnetic case: -16.66699651926364\n", "Difference: -0.01916222953374458\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, 0.9999988143551615, 0.9999988143482963, 0.9999988143374605, 0.9585779981428485, 0.9585773615127637, 1.154481319657189e-29]\n", "(scfres.occupation[idown])[1:7] = [1.0, 0.832435779622907, 0.8324334455743521, 0.8324328972842255, 7.827965479462486e-6, 7.827897928579632e-6, 1.5495781414400108e-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] = [-0.06926943519825754, 0.3568794267731245, 0.35687948467422975, 0.3568795760651128, 0.4619152650653395, 0.46191542539926445, 1.1596448178304155]\n", "(scfres.eigenvalues[idown])[1:7] = [-0.030402637282866296, 0.477301758611698, 0.47730192594232623, 0.47730196524960666, 0.6109096534575789, 0.6109097397529302, 1.2257790550416954]\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: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks: 18%|██▉ | ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks: 26%|████▏ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 31%|████▉ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 35%|█████▌ | ETA: 0:00:03\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: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 51%|████████▎ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 55%|████████▉ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 59%|█████████▍ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 64%|██████████▎ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 68%|██████████▉ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 73%|███████████▊ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 77%|████████████▎ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 81%|████████████▉ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 85%|█████████████▌ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 90%|██████████████▍ | ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 94%|███████████████ | ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 97%|███████████████▋| ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 100%|████████████████| Time: 0:00:03\u001b[K\n" ] }, { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=420}", "image/png": 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