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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",
+ "image/svg+xml": [
+ "\n",
+ "\n"
+ ],
+ "text/html": [
+ "\n",
+ "\n"
+ ]
+ },
+ "execution_count": 8,
+ "metadata": {},
+ "output_type": "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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",
+ "image/svg+xml": [
+ "\n",
+ "\n"
+ ],
+ "text/html": [
+ "\n",
+ "\n"
+ ]
+ },
+ "execution_count": 10,
+ "metadata": {},
+ "output_type": "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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",
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