{ "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 -16.64704833940 NaN 3.28e-01 0.80 5.0\n", " 2 -16.64774964462 -7.01e-04 7.77e-02 0.80 1.0\n", " 3 -16.64782603712 -7.64e-05 3.22e-03 0.80 2.5\n", " 4 -16.64783330046 -7.26e-06 1.57e-03 0.80 3.8\n", " 5 -16.64783428358 -9.83e-07 2.20e-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 (in Ha):\n Kinetic 15.9238077\n AtomicLocal -5.0709239\n AtomicNonlocal -5.2219027\n Ewald -21.4723040\n PspCorrection 1.8758831 \n Hartree 0.7798050 \n Xc -3.4439099\n Entropy -0.0182895\n\n total -16.647834283580" }, "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 -16.66002126790 NaN 3.11e-01 2.620 0.80 4.5\n", " 2 -16.66626576343 -6.24e-03 6.97e-02 2.428 0.80 1.0\n", " 3 -16.66694803627 -6.82e-04 9.43e-03 2.349 0.80 2.9\n", " 4 -16.66698682581 -3.88e-05 4.34e-03 2.320 0.80 2.9\n", " 5 -16.66699446504 -7.64e-06 1.77e-03 2.309 0.80 2.1\n", " 6 -16.66699630188 -1.84e-06 5.69e-04 2.301 0.80 1.5\n", " 7 -16.66699651950 -2.18e-07 3.94e-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 16.3014639\n AtomicLocal -5.2260036\n AtomicNonlocal -5.4135486\n Ewald -21.4723040\n PspCorrection 1.8758831 \n Hartree 0.8201243 \n Xc -3.5395336\n Entropy -0.0130780\n\n total -16.666996519496" }, "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: -16.647834283579737\n", "Magnetic case: -16.666996519496003\n", "Difference: -0.019162235916265757\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, 0.9999988142436027, 0.9999988142361731, 0.9999988142228146, 0.9585761361300301, 0.9585755324396648, 1.1543720182770733e-29]\n", "(scfres.occupation[idown])[1:7] = [1.0, 0.8324949507140664, 0.8324919072376152, 0.8324913083286201, 7.830697502095554e-6, 7.830641633725448e-6, 1.5495610886092724e-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] = [-0.0692689149167761, 0.35688015533034784, 0.35688021798708225, 0.35688033064475577, 0.4619155216916709, 0.4619156737233171, 1.159645552321718]\n", "(scfres.eigenvalues[idown])[1:7] = [-0.030403522927384363, 0.47729730363510037, 0.47729752188662344, 0.47729756483476754, 0.6109059516480995, 0.6109060229942431, 1.225778952779538]\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: 16%|██▌ | ETA: 0:00:09\u001b[K\rDiagonalising Hamiltonian kblocks: 20%|███▎ | ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks: 24%|███▉ | ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks: 29%|████▋ | ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks: 33%|█████▎ | ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks: 36%|█████▊ | ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks: 40%|██████▍ | ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks: 44%|███████▏ | ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks: 47%|███████▌ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 51%|████████▎ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 56%|████████▉ | ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks: 60%|█████████▋ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 66%|██████████▌ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 70%|███████████▎ | ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks: 74%|███████████▉ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 80%|████████████▊ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 84%|█████████████▌ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 89%|██████████████▏ | ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks: 93%|██████████████▉ | ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 96%|███████████████▍| 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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