{ "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 -16.64698875146 NaN 3.28e-01 0.80 5.0\n", " 2 -16.64775039656 -7.62e-04 7.79e-02 0.80 1.0\n", " 3 -16.64782699450 -7.66e-05 3.16e-03 0.80 2.0\n", " 4 -16.64783323405 -6.24e-06 1.65e-03 0.80 3.8\n", " 5 -16.64783428274 -1.05e-06 2.35e-04 0.80 2.0\n", " 6 -16.64783431086 -2.81e-08 2.51e-05 0.80 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, 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 (in Ha):\n Kinetic 15.9224517\n AtomicLocal -5.0701486\n AtomicNonlocal -5.2211695\n Ewald -21.4723040\n PspCorrection 1.8758831 \n Hartree 0.7795800 \n Xc -3.4438386\n Entropy -0.0182884\n\n total -16.647834310864" }, "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 -16.66002354020 NaN 3.11e-01 2.620 0.80 4.4\n", " 2 -16.66626260925 -6.24e-03 6.97e-02 2.428 0.80 1.1\n", " 3 -16.66694739914 -6.85e-04 9.43e-03 2.349 0.80 2.8\n", " 4 -16.66698682803 -3.94e-05 4.36e-03 2.320 0.80 2.8\n", " 5 -16.66699447606 -7.65e-06 1.78e-03 2.309 0.80 2.1\n", " 6 -16.66699629573 -1.82e-06 5.71e-04 2.301 0.80 1.5\n", " 7 -16.66699651884 -2.23e-07 4.38e-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 (in Ha):\n Kinetic 16.3014771\n AtomicLocal -5.2260081\n AtomicNonlocal -5.4135551\n Ewald -21.4723040\n PspCorrection 1.8758831 \n Hartree 0.8201255 \n Xc -3.5395372\n Entropy -0.0130778\n\n total -16.666996518842" }, "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: -16.647834310863878\n", "Magnetic case: -16.666996518842257\n", "Difference: -0.019162207978379087\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, 0.9999988143057735, 0.9999988143018431, 0.9999988142942627, 0.9585780645615695, 0.9585778366013946, 1.1544054740377303e-29]\n", "(scfres.occupation[idown])[1:7] = [1.0, 0.8324433989842459, 0.8324431820121171, 0.8324427804424609, 7.828265804669985e-6, 7.82816171915527e-6, 1.5495577917524727e-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] = [-0.06926895082988915, 0.35687938555066295, 0.3568794186985873, 0.35687948263060476, 0.4619147905754212, 0.4619148479870626, 1.1596450170566839]\n", "(scfres.eigenvalues[idown])[1:7] = [-0.030403127715698048, 0.47730075459558313, 0.4773007701512083, 0.47730079894134775, 0.6109088120427796, 0.6109089450058446, 1.225778728604237]\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: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks: 20%|███▎ | ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks: 24%|███▉ | ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks: 30%|████▊ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 34%|█████▌ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 40%|██████▍ | ETA: 0:00:03\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: 54%|████████▋ | 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: 69%|███████████ | 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: 86%|█████████████▊ | 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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