{ "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 -16.65005848230 -0.48 5.0\n", " 2 -16.65071198389 -3.18 -1.01 1.0\n", " 3 -16.65081399270 -3.99 -2.31 1.5\n", " 4 -16.65082462459 -4.97 -2.81 3.8\n", " 5 -16.65082469811 -7.13 -3.42 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, 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 15.9214260\n AtomicLocal -5.0696704\n AtomicNonlocal -5.2205337\n Ewald -21.4723040\n PspCorrection 1.8758831 \n Hartree 0.7794428 \n Xc -3.4467803\n Entropy -0.0182881\n\n total -16.650824698110" }, "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 -16.66203919587 -0.51 2.617 4.6\n", " 2 -16.66823842439 -2.21 -1.08 2.449 1.1\n", " 3 -16.66905405155 -3.09 -2.05 2.342 2.4\n", " 4 -16.66909826597 -4.35 -2.62 2.309 2.0\n", " 5 -16.66910287369 -5.34 -2.87 2.297 1.8\n", " 6 -16.66910443063 -5.81 -3.52 2.286 1.8\n", " 7 -16.66910445900 -7.55 -3.85 2.286 2.5\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 16.2943611\n AtomicLocal -5.2224996\n AtomicNonlocal -5.4098302\n Ewald -21.4723040\n PspCorrection 1.8758831 \n Hartree 0.8191279 \n Xc -3.5406827\n Entropy -0.0131600\n\n total -16.669104459004" }, "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: -16.650824698110057\n", "Magnetic case: -16.669104459003933\n", "Difference: -0.01827976089387562\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, 0.9999987823834875, 0.9999987823834866, 0.9999987823834904, 0.9582267417802997, 0.9582267417725026, 1.1275142893465847e-29]\n", "(scfres.occupation[idown])[1:7] = [1.0, 0.8435131991984083, 0.8435131991921185, 0.8435131991889266, 8.113542433915668e-6, 8.113542431581042e-6, 1.6262819898008966e-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] = [-0.06936125735266437, 0.35688792379070056, 0.3568879237986212, 0.35688792376719247, 0.46174578396796384, 0.4617457839699117, 1.1596235868094982]\n", "(scfres.eigenvalues[idown])[1:7] = [-0.031260785043203745, 0.4762280256641798, 0.47622802566465633, 0.47622802566489814, 0.6102937432328186, 0.6102937432356961, 1.225038330041735]\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: 4%|▋ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 10%|█▋ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 16%|██▌ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 23%|███▋ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 30%|████▊ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 36%|█████▊ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 41%|██████▋ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 47%|███████▌ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 53%|████████▌ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 59%|█████████▍ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 66%|██████████▌ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 73%|███████████▋ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 80%|████████████▊ | ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 86%|█████████████▊ | ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 93%|██████████████▉ | ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 99%|███████████████▊| ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 100%|████████████████| Time: 0:00:01\u001b[K\n" ] }, { "output_type": "execute_result", "data": { "text/plain": "Plot{Plots.GRBackend() n=336}", "image/png": 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