From 2863ce42048b72c89d1d86ad619b98605b8a8750 Mon Sep 17 00:00:00 2001 From: "[Harry Lane]" <[hlane34@gatech.edu]> Date: Thu, 13 Jul 2023 12:55:21 -0400 Subject: [PATCH] Add linewidth test jupyter notebook. --- .gitignore | 1 - .../Linewidth tests KPM vs LSWT.ipynb | 45238 ++++++++++++++++ 2 files changed, 45238 insertions(+), 1 deletion(-) create mode 100644 src/SpinWaveTheory/Test_scripts/Linewidth tests KPM vs LSWT.ipynb diff --git a/.gitignore b/.gitignore index 890425d26..7e68542a1 100644 --- a/.gitignore +++ b/.gitignore @@ -5,6 +5,5 @@ docs/src/examples/ Manifest.toml profile.pb.gz .DS_Store -*.ipynb *.lyx~ *.lyx# diff --git a/src/SpinWaveTheory/Test_scripts/Linewidth tests KPM vs LSWT.ipynb b/src/SpinWaveTheory/Test_scripts/Linewidth tests KPM vs LSWT.ipynb new file mode 100644 index 000000000..1ac6adccd --- /dev/null +++ b/src/SpinWaveTheory/Test_scripts/Linewidth tests KPM vs LSWT.ipynb @@ -0,0 +1,45238 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "700242b7", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\u001b[32m\u001b[1m Activating\u001b[22m\u001b[39m project at `C:\\Users\\hlane34\\.julia\\dev\\Sunny`\n" + ] + } + ], + "source": [ + "# Test KPM vs LSWT Linewidths\n", + "import Pkg\n", + "Pkg.activate(\"C:\\\\Users\\\\hlane34\\\\.julia\\\\dev\\\\Sunny\\\\\") #step needed until we add to dependences properly\n", + "using Plots\n", + "using GLMakie" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "649f0440", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + " 3D graphics package for Jupyter notebooks has been installed.\n", + " \n" + ], + "text/plain": [ + "SunnyViewer(...)" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "using Sunny\n", + "using SparseArrays\n", + "using LinearAlgebra\n", + "Sunny.offline_viewers() " + ] + }, + { + "cell_type": "markdown", + "id": "aaf54631", + "metadata": {}, + "source": [ + "We need to build some spin system to test. Let's try a simple antiferromagnetic chain with single-ion anisotropy. We will make the unit cell artificilly large. The primative magnetic cell has dimensions (2,1), however we will choose (6,4,1). " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "c184d195", + "metadata": {}, + "outputs": [], + "source": [ + "a, b, c = 1.0, 2.0, 3.0\n", + "latvecs = lattice_vectors(a, b, c, 90, 90, 90)\n", + "positions = [[0,0,0]]\n", + "cryst = Crystal(latvecs, positions)\n", + "\n", + "dims = (6,4,1)\n", + "S = 1\n", + "sys = System(cryst, dims, [SpinInfo(1; S, g=1)], :SUN)\n", + "\n", + "J = 1.0\n", + "D = -0.2\n", + "h = 0\n", + "\n", + "set_exchange!(sys, J, Bond(1, 1, [1,0,0]))\n", + "set_anisotropy!(sys, D*𝒮[3]^2, 1)\n", + "set_external_field!(sys, [0.0, 0.0, h])" + ] + }, + { + "cell_type": "markdown", + "id": "b0e5add9", + "metadata": {}, + "source": [ + "Find a ground state at T=0." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "b7584c77", + "metadata": {}, + "outputs": [], + "source": [ + "Δt = 0.02\n", + "λ = 0.1\n", + "langevin = Langevin(Δt; kT=0, λ)\n", + "\n", + "randomize_spins!(sys)\n", + "for kT in range(5, 0, 30_000)\n", + " langevin.kT = kT\n", + " step!(sys, langevin)\n", + "end\n", + "langevin.kT = 0.0\n", + "for _ ∈ 1:20_000\n", + " step!(sys, langevin)\n", + "end" + ] + }, + { + "cell_type": "markdown", + "id": "850905e3", + "metadata": {}, + "source": [ + "Check we have found the correct ground state." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "a3f6bc5b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "plot_spins(sys)" + ] + }, + { + "cell_type": "markdown", + "id": "2010eaef", + "metadata": {}, + "source": [ + "Check the wavevectors..." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "d62a49ec", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Dominant wavevectors for spin sublattices:\n", + "\n", + " [1/2, 0, 0] 100.00% weight\n" + ] + } + ], + "source": [ + "print_wrapped_intensities(sys)" + ] + }, + { + "cell_type": "markdown", + "id": "66bc5a27", + "metadata": {}, + "source": [ + "We find $\\mathbf{Q}=[1/2,0,0]$ or $\\mathbf{Q}=[1/2,1/2,0]$ as expected. Build a spin wave theory object." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "fcfa2d0b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "\u001b[4m\u001b[1mSpinWaveTheory [Dipole correlations]\u001b[22m\u001b[24m\n", + "Atoms in magnetic supercell 24\n" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "swt_SUN = SpinWaveTheory(sys)" + ] + }, + { + "cell_type": "markdown", + "id": "9f2b6d77", + "metadata": {}, + "source": [ + "Now let's calculate the spectrum using LSWT." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "0a7c74cc", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 10.339544 seconds (9.22 M allocations: 1.650 GiB, 5.51% gc time, 45.20% compilation time: 31% of which was recompilation)\n" + ] + }, + { + "data": { + "image/png": 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"execute_result" + } + ], + "source": [ + "@time begin\n", + " qvals = 0.0:0.005:1.0\n", + " qs = [(q, 0, 0) for q in qvals]\n", + " energies = 0.0:0.01:4.25\n", + " isLSWT = intensities(swt_SUN, qs, energies, 0.1)\n", + " Plots.heatmap(qvals, energies, isLSWT'; clims=(0.0, 10), xlabel=\"[H,0,0]\",ylabel=\"E (mev)\")\n", + " title!(\"LSWT\")\n", + "end\n" + ] + }, + { + "cell_type": "markdown", + "id": "1b3da7f0", + "metadata": {}, + "source": [ + "Now we try with KPM. Note that we have to specify a number of coefficients in the Chebyshev expansion, a temperature, and a kernel with which to convolve. Here we choose $200$ terms, a temperature of $0.5 K$ and a Lorentzian of width $\\sigma=0.1$. " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "267e280c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "f (generic function with 1 method)" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "M = 200\n", + "kT = 0.5 * Sunny.meV_per_K\n", + "σ=0.1\n", + "function f(ω, x, σ)\n", + " return (1/π) * (σ / ((x - ω)^2 + σ^2))\n", + "end" + ] + }, + { + "cell_type": "markdown", + "id": "34473906", + "metadata": {}, + "source": [ + "The calculation is set up in the same way as standard LSWT, but we call KPMIntensities instead with a few extra arguments. " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "c435bce8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 8.032807 seconds (8.82 M allocations: 8.013 GiB, 11.89% gc time, 32.98% compilation time)\n" + ] + }, + { + "data": { + "image/png": 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"execute_result" + } + ], + "source": [ + "@time begin\n", + " qvals = 0.:0.005:1.0\n", + " qs = [(q, 0, 0) for q in qvals]\n", + " energies = 0.0:0.01:4.25\n", + " isKPM = Sunny.KPMintensities(swt_SUN, qs, energies, M,kT,σ,f)\n", + " p=Plots.heatmap(qvals, energies, isKPM'; clims=(0.0, 10), xlabel=\"[H,0,0]\",ylabel=\"E (mev)\")\n", + " title!(\"KPM\")\n", + "end" + ] + }, + { + "cell_type": "markdown", + "id": "b7f5c073", + "metadata": {}, + "source": [ + "The calculation looks almost identical. KPM took slightly longer due to the small matrix dimension. We will see later how the power of KPM increases remarkably as we move to large matrices. Let us now compare the differences. First we take cuts through $\\mathbf{q}=(0.5,0,0)$, $\\mathbf{q}=(0.625,0,0)$ and $\\mathbf{q}=(0.75,0,0)$ to compare the lineshape." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "e6fa321a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(0.5, 0, 0)(0.625, 0, 0)(0.75, 0, 0)" + ] + }, + { + "data": { + "image/png": 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line=:solid, marker=:xcross, label=\"KPM: \\$\\\\mathbf{q} =(0.625,0,0)\\$\",color=:cyan)\n", + "Plots.plot!(energies, isLSWT[151, :], line=:dash, marker=:circ, label=\"LSWT: \\$\\\\mathbf{q} =(0.75,0,0)\\$\",color=:black)\n", + "Plots.plot!(energies, isKPM[151, :], line=:solid, marker=:xcross, label=\"KPM: \\$\\\\mathbf{q} =(0.75,0,0)\\$\",color=:gray)\n", + "Plots.xlims!(0, 3)\n", + "Plots.xlabel!(\"E (meV)\")\n", + "Plots.title!(\"Comparison between KPM and LSWT\")\n", + "Plots.ylabel!(\"\\$f(|\\\\mathbf{q}|)^{2}S(\\\\mathbf{q},E)\\$\")" + ] + }, + { + "cell_type": "markdown", + "id": "7de63bd2", + "metadata": {}, + "source": [ + "We find excellent agreement between KPM and LSWT. A slight oscillation is seen in the tails of the peaks." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "808d762f", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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label=\"LSWT: \\$\\\\mathbf{q} =(0.625,0,0)\\$\",color=:blue)\n", + "Plots.plot!(energies, isKPM[126, :], line=:solid, marker=:xcross, label=\"KPM: \\$\\\\mathbf{q} =(0.625,0,0)\\$\",color=:cyan)\n", + "Plots.plot!(energies, isLSWT[151, :], line=:dash, marker=:circ, label=\"LSWT: \\$\\\\mathbf{q} =(0.75,0,0)\\$\",color=:black)\n", + "Plots.plot!(energies, isKPM[151, :], line=:solid, marker=:xcross, label=\"KPM: \\$\\\\mathbf{q} =(0.75,0,0)\\$\",color=:gray)\n", + "Plots.xlims!(1.15, 1.5)\n", + "Plots.ylims!(0, 1)\n", + "Plots.title!(\"Small oscillations seen in KPM\")\n", + "Plots.xlabel!(\"E (meV)\")\n", + "Plots.ylabel!(\"\\$f(|\\\\mathbf{q}|)^{2}S(\\\\mathbf{q},E)\\$\")" + ] + }, + { + "cell_type": "markdown", + "id": "3813119d", + "metadata": {}, + "source": [ + "These oscillations are almost inperceptible in the 2d slice, let's take the difference between the two images and decrease the bounds on the colorscale to see them more clearly." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "498c5021", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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"execute_result" + } + ], + "source": [ + "p=Plots.heatmap(qvals, energies, (isKPM-isLSWT)'; clims=(0.0, 0.1), xlabel=\"[H,0,0]\",ylabel=\"E (mev)\")\n", + "Plots.title!(\"KPM - LSWT calculation\")" + ] + }, + { + "cell_type": "markdown", + "id": "f92d66a6", + "metadata": {}, + "source": [ + "This is an example of \"ringing\" or Gibbs oscillations. These artifacts can be controlled by the appropriate damping factors applied to the terms of the Chebyshev expansion. A common choice is those of the Jackson kernel. By setting the optional kwarg: kernel=\"jackson\" in the KPMintensities function, we can apply this damping. " + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "91c81518", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 5.526578 seconds (4.76 M allocations: 7.743 GiB, 12.62% gc time, 11.38% compilation time)\n" + ] + }, + { + "data": { + "image/png": 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"execute_result" + } + ], + "source": [ + "@time begin\n", + " qvals = 0.:0.005:1.0\n", + " qs = [(q, 0, 0) for q in qvals]\n", + " energies = 0.0:0.01:4.25\n", + " isKPMJackson = Sunny.KPMintensities(swt_SUN, qs, energies, M,kT,σ,f;kernel=\"jackson\")\n", + " p=Plots.heatmap(qvals, energies, isKPMJackson'; clims=(0.0, 10), xlabel=\"[H,0,0]\",ylabel=\"E (mev)\")\n", + " title!(\"KPM (Jackson kernel)\")\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "971902f9", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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=(0.625,0,0)\\$\",color=:cyan)\n", + "Plots.plot!(energies, isLSWT[151, :], line=:dash, marker=:circ, label=\"LSWT: \\$\\\\mathbf{q} =(0.75,0,0)\\$\",color=:black)\n", + "Plots.plot!(energies, isKPMJackson[151, :], line=:solid, marker=:xcross, label=\"KPM: \\$\\\\mathbf{q} =(0.75,0,0)\\$\",color=:gray)\n", + "Plots.xlims!(1.15, 1.5)\n", + "Plots.ylims!(0, 1)\n", + "Plots.title!(\"Oscillations eliminated with Jackson kernel\")\n", + "Plots.xlabel!(\"E (meV)\")\n", + "Plots.ylabel!(\"\\$f(|\\\\mathbf{q}|)^{2}S(\\\\mathbf{q},E)\\$\")" + ] + }, + { + "cell_type": "markdown", + "id": "2d5219d1", + "metadata": {}, + "source": [ + "Using the Jackson kernel we have eliminated the ringing at the cost of resolution. Let's look at the lineshape. " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "cb586744", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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label=\"KPM: \\$\\\\mathbf{q} =(0.625,0,0)\\$\",color=:cyan)\n", + "Plots.plot!(energies, isLSWT[151, :], line=:dash, marker=:circ, label=\"LSWT: \\$\\\\mathbf{q} =(0.75,0,0)\\$\",color=:black)\n", + "Plots.plot!(energies, isKPMJackson[151, :], line=:solid, marker=:xcross, label=\"KPM: \\$\\\\mathbf{q} =(0.75,0,0)\\$\",color=:gray)\n", + "Plots.xlims!(0, 3)\n", + "Plots.xlabel!(\"E (meV)\")\n", + "Plots.title!(\"Comparison between KPM (Jackson kernel) and LSWT\")\n", + "Plots.ylabel!(\"\\$f(|\\\\mathbf{q}|)^{2}S(\\\\mathbf{q},E)\\$\")" + ] + }, + { + "cell_type": "markdown", + "id": "c2d4a90e", + "metadata": {}, + "source": [ + "By increasing the number of terms in the Chebyshev expansion, we can restore the resolution at some extra computational cost." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "0c871a20", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 15.188555 seconds (4.98 M allocations: 26.896 GiB, 9.65% gc time, 0.18% compilation time)\n" + ] + }, + { + "data": { + "image/png": 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"execute_result" + } + ], + "source": [ + "M=750\n", + "@time begin\n", + " qvals = 0.:0.005:1.0\n", + " qs = [(q, 0, 0) for q in qvals]\n", + " energies = 0.0:0.01:4.25\n", + " isKPMJackson = Sunny.KPMintensities(swt_SUN, qs, energies, M,kT,σ,f;kernel=\"jackson\")\n", + " p=Plots.heatmap(qvals, energies, isKPMJackson'; clims=(0.0, 10), xlabel=\"[H,0,0]\",ylabel=\"E (mev)\")\n", + " Plots.title!(\"KPM, M=750\")\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "fb8b335a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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=(0.625,0,0)\\$\",color=:cyan)\n", + "Plots.plot!(energies, isLSWT[151, :], line=:dash, marker=:circ, label=\"LSWT: \\$\\\\mathbf{q} =(0.75,0,0)\\$\",color=:black)\n", + "Plots.plot!(energies, isKPMJackson[151, :], line=:solid, marker=:xcross, label=\"KPM: \\$\\\\mathbf{q} =(0.75,0,0)\\$\",color=:gray)\n", + "Plots.xlims!(0, 3)\n", + "Plots.xlabel!(\"E (meV)\")\n", + "Plots.title!(\"KPM, M=750 (Jackson kernel) and LSWT\")\n", + "Plots.ylabel!(\"\\$f(|\\\\mathbf{q}|)^{2}S(\\\\mathbf{q},E)\\$\")" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Julia 1.9.1", + "language": "julia", + "name": "julia-1.9" + }, + "language_info": { + "file_extension": ".jl", + "mimetype": "application/julia", + "name": "julia", + "version": "1.9.1" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}