{ "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 -16.64718386569 NaN 3.28e-01 5.5 \n", " 2 -16.64777185917 -5.88e-04 7.76e-02 1.0 \n", " 3 -16.64782672792 -5.49e-05 3.24e-03 1.5 \n", " 4 -16.64783298654 -6.26e-06 1.70e-03 3.3 \n", " 5 -16.64783419266 -1.21e-06 3.66e-04 1.5 \n", " 6 -16.64783430497 -1.12e-07 1.00e-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 15.9217455\n AtomicLocal -5.0697457\n AtomicNonlocal -5.2207863\n Ewald -21.4723040\n PspCorrection 1.8758831 \n Hartree 0.7794624 \n Xc -3.4438013\n Entropy -0.0182880\n\n total -16.647834304973\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 -16.65997238031 NaN 3.41e-01 2.620 4.4 \n", " 2 -16.66626150560 -6.29e-03 6.92e-02 2.428 1.1 \n", " 3 -16.66694039608 -6.79e-04 8.42e-03 2.349 2.3 \n", " 4 -16.66698658309 -4.62e-05 3.59e-03 2.320 2.1 \n", " 5 -16.66699462781 -8.04e-06 6.63e-04 2.309 2.0 \n", " 6 -16.66699628802 -1.66e-06 3.69e-04 2.301 1.9 \n", " 7 -16.66699652133 -2.33e-07 2.45e-05 2.297 1.9 \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 16.3014856\n AtomicLocal -5.2260185\n AtomicNonlocal -5.4135682\n Ewald -21.4723040\n PspCorrection 1.8758831 \n Hartree 0.8201285 \n Xc -3.5395239\n Entropy -0.0130790\n\n total -16.666996521325\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: -16.64783430497318\n", "Magnetic case: -16.66699652132517\n", "Difference: -0.019162216351990224\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, 0.9999988139728273, 0.9999988139576086, 0.9999988139356492, 0.9585673360244382, 0.9585670865718325, 1.1540171996362044e-29]\n", "(scfres.occupation[idown])[1:7] = [1.0, 0.832682941215283, 0.8326789997931825, 0.8326770328912905, 7.840156089952576e-6, 7.840097059359418e-6, 1.5498225203845587e-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] = [-0.06926615834167493, 0.35688295216534294, 0.356883080481475, 0.3568832656290597, 0.46191825120159813, 0.46191831401051586, 1.1596491400146314]\n", "(scfres.eigenvalues[idown])[1:7] = [-0.030407428040055792, 0.47728432998089027, 0.47728461287829993, 0.477284754051609, 0.6108943935115538, 0.6108944688050525, 1.2257777793138676]\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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", 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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: 1%|▎ | ETA: 0:00:13\u001b[K\rDiagonalising Hamiltonian kblocks: 8%|█▎ | ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks: 12%|█▉ | ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks: 14%|██▎ | ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks: 17%|██▋ | ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks: 21%|███▎ | ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks: 23%|███▊ | ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks: 26%|████▏ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 29%|████▊ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 32%|█████▏ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 36%|█████▊ | 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: 46%|███████▍ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 50%|████████ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 53%|████████▍ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 56%|█████████ | 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: 72%|███████████▌ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 74%|███████████▉ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 78%|████████████▌ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 81%|████████████▉ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 83%|█████████████▍ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 87%|██████████████ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 90%|██████████████▍ | ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 91%|██████████████▋ | ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 95%|███████████████▏| ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 99%|███████████████▊| ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 100%|████████████████| Time: 0:00:04\u001b[K\n" ] }, { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=420}", "image/png": 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