{
"cells": [
{
"cell_type": "markdown",
"source": [
"# Performing a convergence study\n",
"\n",
"This example shows how to perform a convergence study to find an appropriate\n",
"discretisation parameters for the Brillouin zone (`kgrid`) and kinetic energy\n",
"cutoff (`Ecut`), such that the simulation results are converged to a desired\n",
"accuracy tolerance.\n",
"\n",
"Such a convergence study is generally performed by starting with a\n",
"reasonable base line value for `kgrid` and `Ecut` and then increasing these\n",
"parameters (i.e. using finer discretisations) until a desired property (such\n",
"as the energy) changes less than the tolerance.\n",
"\n",
"This procedure must be performed for each discretisation parameter. Beyond\n",
"the `Ecut` and the `kgrid` also convergence in the smearing temperature or\n",
"other numerical parameters should be checked. For simplicity we will neglect\n",
"this aspect in this example and concentrate on `Ecut` and `kgrid`. Moreover\n",
"we will restrict ourselves to using the same number of $k$-points in each\n",
"dimension of the Brillouin zone.\n",
"\n",
"As the objective of this study we consider bulk platinum. For running the SCF\n",
"conveniently we define a function:"
],
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": [
"using DFTK\n",
"using LinearAlgebra\n",
"using Statistics\n",
"\n",
"function run_scf(; a=5.0, Ecut, nkpt, tol)\n",
" atoms = [ElementPsp(:Pt, psp = load_psp(\"hgh/lda/Pt-q10\"))]\n",
" position = [zeros(3)]\n",
" lattice = a * Matrix(I, 3, 3)\n",
"\n",
" model = model_LDA(lattice, atoms, position; temperature=1e-2)\n",
" basis = PlaneWaveBasis(model; Ecut, kgrid=(nkpt, nkpt, nkpt))\n",
" println(\"nkpt = $nkpt Ecut = $Ecut\")\n",
" self_consistent_field(basis; tol)\n",
"end;"
],
"metadata": {},
"execution_count": 1
},
{
"cell_type": "markdown",
"source": [
"Moreover we define some parameters. To make the calculations run fast for the\n",
"automatic generation of this documentation we target only a convergence to\n",
"1e-2. In practice smaller tolerances (and thus larger upper bounds for\n",
"`nkpts` and `Ecuts` are likely needed."
],
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": [
"tol = 1e-2 # Tolerance to which we target to converge\n",
"nkpts = 1:7 # K-point range checked for convergence\n",
"Ecuts = 10:2:24; # Energy cutoff range checked for convergence"
],
"metadata": {},
"execution_count": 2
},
{
"cell_type": "markdown",
"source": [
"As the first step we converge in the number of $k$-points employed in each\n",
"dimension of the Brillouin zone …"
],
"metadata": {}
},
{
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"nkpt = 1 Ecut = 17.0\n",
"n Energy log10(ΔE) log10(Δρ) Diag\n",
"--- --------------- --------- --------- ----\n",
" 1 -26.49699691345 -0.22 8.0\n",
" 2 -26.58927020694 -1.03 -0.62 1.0\n",
" 3 -26.61291359605 -1.63 -1.40 2.0\n",
" 4 -26.61327206654 -3.45 -2.08 2.0\n",
"nkpt = 2 Ecut = 17.0\n",
"n Energy log10(ΔE) log10(Δρ) Diag\n",
"--- --------------- --------- --------- ----\n",
" 1 -25.79195223332 -0.09 7.2\n",
" 2 -26.23208859177 -0.36 -0.70 2.0\n",
" 3 -26.23818314877 -2.22 -1.31 2.0\n",
" 4 -26.23848567322 -3.52 -2.33 1.8\n",
"nkpt = 3 Ecut = 17.0\n",
"n Energy log10(ΔE) log10(Δρ) Diag\n",
"--- --------------- --------- --------- ----\n",
" 1 -25.78519039449 -0.09 5.0\n",
" 2 -26.23820833496 -0.34 -0.78 2.0\n",
" 3 -26.25073160605 -1.90 -1.63 2.0\n",
" 4 -26.25102893102 -3.53 -2.12 2.0\n",
"nkpt = 4 Ecut = 17.0\n",
"n Energy log10(ΔE) log10(Δρ) Diag\n",
"--- --------------- --------- --------- ----\n",
" 1 -25.91094595173 -0.11 5.9\n",
" 2 -26.29256240069 -0.42 -0.76 1.9\n",
" 3 -26.30833807262 -1.80 -1.74 2.3\n",
" 4 -26.30842479563 -4.06 -2.60 2.0\n",
"nkpt = 5 Ecut = 17.0\n",
"n Energy log10(ΔE) log10(Δρ) Diag\n",
"--- --------------- --------- --------- ----\n",
" 1 -25.90243620858 -0.11 3.8\n",
" 2 -26.26442861695 -0.44 -0.71 1.8\n",
" 3 -26.28540602544 -1.68 -1.61 2.1\n",
" 4 -26.28569784930 -3.53 -2.19 2.0\n",
"nkpt = 6 Ecut = 17.0\n",
"n Energy log10(ΔE) log10(Δρ) Diag\n",
"--- --------------- --------- --------- ----\n",
" 1 -25.87463564009 -0.10 5.2\n",
" 2 -26.27220829318 -0.40 -0.76 1.9\n",
" 3 -26.28808699561 -1.80 -1.71 2.1\n",
" 4 -26.28818751646 -4.00 -2.55 2.0\n",
"nkpt = 7 Ecut = 17.0\n",
"n Energy log10(ΔE) log10(Δρ) Diag\n",
"--- --------------- --------- --------- ----\n",
" 1 -25.89686364608 -0.11 3.4\n",
" 2 -26.27691539497 -0.42 -0.74 1.9\n",
" 3 -26.29414061455 -1.76 -1.73 2.0\n",
" 4 -26.29420740722 -4.18 -2.63 2.0\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": "5"
},
"metadata": {},
"execution_count": 3
}
],
"cell_type": "code",
"source": [
"function converge_kgrid(nkpts; Ecut, tol)\n",
" energies = [run_scf(; nkpt, tol=tol/10, Ecut).energies.total for nkpt in nkpts]\n",
" errors = abs.(energies[1:end-1] .- energies[end])\n",
" iconv = findfirst(errors .< tol)\n",
" (; nkpts=nkpts[1:end-1], errors, nkpt_conv=nkpts[iconv])\n",
"end\n",
"result = converge_kgrid(nkpts; Ecut=mean(Ecuts), tol)\n",
"nkpt_conv = result.nkpt_conv"
],
"metadata": {},
"execution_count": 3
},
{
"cell_type": "markdown",
"source": [
"… and plot the obtained convergence:"
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Plot{Plots.GRBackend() n=1}",
"image/png": "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",
"text/html": [
"\n",
"\n"
],
"image/svg+xml": [
"\n",
"\n"
]
},
"metadata": {},
"execution_count": 4
}
],
"cell_type": "code",
"source": [
"using Plots\n",
"plot(result.nkpts, result.errors, dpi=300, lw=3, m=:o, yaxis=:log,\n",
" xlabel=\"k-grid\", ylabel=\"energy absolute error\")"
],
"metadata": {},
"execution_count": 4
},
{
"cell_type": "markdown",
"source": [
"We continue to do the convergence in Ecut using the suggested $k$-point grid."
],
"metadata": {}
},
{
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"nkpt = 5 Ecut = 10\n",
"n Energy log10(ΔE) log10(Δρ) Diag\n",
"--- --------------- --------- --------- ----\n",
" 1 -25.57912007143 -0.16 3.5\n",
" 2 -25.77623591727 -0.71 -0.76 1.3\n",
" 3 -25.78624757951 -2.00 -1.85 2.0\n",
" 4 -25.78631890494 -4.15 -2.84 2.0\n",
"nkpt = 5 Ecut = 12\n",
"n Energy log10(ΔE) log10(Δρ) Diag\n",
"--- --------------- --------- --------- ----\n",
" 1 -25.78667304704 -0.12 3.5\n",
" 2 -26.07626199874 -0.54 -0.71 1.8\n",
" 3 -26.09344812617 -1.76 -1.69 2.0\n",
" 4 -26.09373926991 -3.54 -2.30 2.0\n",
" 5 -26.09375506571 -4.80 -2.80 2.3\n",
"nkpt = 5 Ecut = 14\n",
"n Energy log10(ΔE) log10(Δρ) Diag\n",
"--- --------------- --------- --------- ----\n",
" 1 -25.86778197874 -0.11 3.6\n",
" 2 -26.20693278077 -0.47 -0.71 1.9\n",
" 3 -26.22668930185 -1.70 -1.64 2.0\n",
" 4 -26.22699746656 -3.51 -2.21 2.0\n",
" 5 -26.22702765960 -4.52 -2.82 2.7\n",
"nkpt = 5 Ecut = 16\n",
"n Energy log10(ΔE) log10(Δρ) Diag\n",
"--- --------------- --------- --------- ----\n",
" 1 -25.89707782798 -0.11 3.7\n",
" 2 -26.25511281684 -0.45 -0.71 2.0\n",
" 3 -26.27558907677 -1.69 -1.63 2.1\n",
" 4 -26.27586679139 -3.56 -2.22 2.0\n",
" 5 -26.27589477086 -4.55 -2.88 2.6\n",
"nkpt = 5 Ecut = 18\n",
"n Energy log10(ΔE) log10(Δρ) Diag\n",
"--- --------------- --------- --------- ----\n",
" 1 -25.90548163317 -0.11 3.8\n",
" 2 -26.27007393988 -0.44 -0.71 1.9\n",
" 3 -26.29098824598 -1.68 -1.61 2.2\n",
" 4 -26.29127135911 -3.55 -2.19 2.0\n",
" 5 -26.29130576937 -4.46 -2.90 2.4\n",
"nkpt = 5 Ecut = 20\n",
"n Energy log10(ΔE) log10(Δρ) Diag\n",
"--- --------------- --------- --------- ----\n",
" 1 -25.90783883983 -0.11 3.8\n",
" 2 -26.27446835310 -0.44 -0.71 2.0\n",
" 3 -26.29530312375 -1.68 -1.61 2.3\n",
" 4 -26.29557399410 -3.57 -2.19 2.0\n",
" 5 -26.29560744040 -4.48 -2.90 2.7\n",
"nkpt = 5 Ecut = 22\n",
"n Energy log10(ΔE) log10(Δρ) Diag\n",
"--- --------------- --------- --------- ----\n",
" 1 -25.90847328129 -0.11 4.0\n",
" 2 -26.27549465886 -0.44 -0.71 2.0\n",
" 3 -26.29614569084 -1.69 -1.62 2.1\n",
" 4 -26.29640740644 -3.58 -2.20 2.1\n",
" 5 -26.29643698197 -4.53 -2.88 2.5\n",
"nkpt = 5 Ecut = 24\n",
"n Energy log10(ΔE) log10(Δρ) Diag\n",
"--- --------------- --------- --------- ----\n",
" 1 -25.90855345840 -0.11 3.9\n",
" 2 -26.27557874380 -0.44 -0.71 2.0\n",
" 3 -26.29621793777 -1.69 -1.62 2.3\n",
" 4 -26.29648283920 -3.58 -2.20 2.3\n",
" 5 -26.29651292862 -4.52 -2.88 2.6\n"
]
},
{
"output_type": "execute_result",
"data": {
"text/plain": "18"
},
"metadata": {},
"execution_count": 5
}
],
"cell_type": "code",
"source": [
"function converge_Ecut(Ecuts; nkpt, tol)\n",
" energies = [run_scf(; nkpt, tol=tol/100, Ecut).energies.total for Ecut in Ecuts]\n",
" errors = abs.(energies[1:end-1] .- energies[end])\n",
" iconv = findfirst(errors .< tol)\n",
" (; Ecuts=Ecuts[1:end-1], errors, Ecut_conv=Ecuts[iconv])\n",
"end\n",
"result = converge_Ecut(Ecuts; nkpt=nkpt_conv, tol)\n",
"Ecut_conv = result.Ecut_conv"
],
"metadata": {},
"execution_count": 5
},
{
"cell_type": "markdown",
"source": [
"… and plot it:"
],
"metadata": {}
},
{
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": "Plot{Plots.GRBackend() n=1}",
"image/png": "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",
"text/html": [
"\n",
"\n"
],
"image/svg+xml": [
"\n",
"\n"
]
},
"metadata": {},
"execution_count": 6
}
],
"cell_type": "code",
"source": [
"plot(result.Ecuts, result.errors, dpi=300, lw=3, m=:o, yaxis=:log,\n",
" xlabel=\"Ecut\", ylabel=\"energy absolute error\")"
],
"metadata": {},
"execution_count": 6
},
{
"cell_type": "markdown",
"source": [
"## A more realistic example.\n",
"Repeating the above exercise for more realistic settings, namely …"
],
"metadata": {}
},
{
"outputs": [],
"cell_type": "code",
"source": [
"tol = 1e-4 # Tolerance to which we target to converge\n",
"nkpts = 1:20 # K-point range checked for convergence\n",
"Ecuts = 20:1:50;"
],
"metadata": {},
"execution_count": 7
},
{
"cell_type": "markdown",
"source": [
"…one obtains the following two plots for the convergence in `kpoints` and `Ecut`."
],
"metadata": {}
},
{
"cell_type": "markdown",
"source": [
"\n",
""
],
"metadata": {}
}
],
"nbformat_minor": 3,
"metadata": {
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.8.3"
},
"kernelspec": {
"name": "julia-1.8",
"display_name": "Julia 1.8.3",
"language": "julia"
}
},
"nbformat": 4
}