{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Torque magnetometry "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In this tutorial, the Ubermag micromagnetic simulation software is used to create 3-dimensional magnetic structure, on which torque magnetometry can be performed. Torque magnetometry is a technique where an external magnetic field is applied in a direction relative to a magnetic sample, an the torque produced measured. This technique can be used to obtain information on the characteristics of the magnetism in the sample like anisotropy.\n",
"\n",
"Torque arises from the cross product of the magnetic moment ${\\bf m}$, and the magnetic flux density ${\\bf B}$ \\[1-3\\],\n",
"\\begin{equation}\n",
"{\\bf \\tau} = {\\bf m} \\times {\\bf B}.\n",
"\\end{equation}\n",
"This equation can be rewritten to account for the torque due to an applied magnetic field\n",
"\\begin{equation}\n",
"{\\bf \\tau} = \\mu_0 {\\bf m} \\times {\\bf H}_{\\rm app},\n",
"\\end{equation}\n",
"where ${\\bf H}_{app}$ is the applied magnetic field.\n",
"\n",
"\n",
"The magnetic moment can be obtain from the magnetisation using\n",
"\\begin{align}\n",
"{\\bf m} &= \\int {\\bf M} dV,\\\\\n",
"{\\bf m} &= {\\bf M} V,\n",
"\\end{align}\n",
"where ${\\bf M}$ is magnetisation, ${\\bf m}$ is the magnetic moment, and $V$ is the volume."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Magnetometry Reference frame\n",
"In `mag2exp` the experimental reference for magnetometry is defined to be congruent as the sample reference frame."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The micromagnetic simulation\n",
"A micromagnetic simulation can be set up using Ubermag to obtain a 3-dimensional magnetic structure."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# NBVAL_IGNORE_OUTPUT\n",
"import discretisedfield as df\n",
"import matplotlib.pyplot as plt\n",
"import micromagneticmodel as mm\n",
"import numpy as np\n",
"import oommfc as oc\n",
"import ubermagutil.units as uu\n",
"\n",
"np.random.seed(1)\n",
"\n",
"region = df.Region(p1=(-150e-9, -150e-9, 0), p2=(150e-9, 150e-9, 100e-9))\n",
"mesh = df.Mesh(region=region, cell=(5e-9, 5e-9, 5e-9))\n",
"\n",
"Ms = 9.65e5\n",
"H_mag = 2.38e6\n",
"\n",
"system = mm.System(name=\"Box2\")\n",
"\n",
"system.energy = (\n",
" mm.Exchange(A=8.78e-13)\n",
" + mm.UniaxialAnisotropy(K=1.18e6, u=(0, 0, 1))\n",
" + mm.Demag()\n",
" + mm.Zeeman(H=(0, 0, 0))\n",
")\n",
"\n",
"# create system with above geometry and initial magnetisation\n",
"system.m = df.Field(mesh, nvdim=3, value=(0, 0, 1), norm=Ms)\n",
"system.m.z.sel(\"z\").mpl.scalar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Relax the system and plot its magnetisation."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Running OOMMF (ExeOOMMFRunner)[2022/11/04 14:36]... (0.8 s)\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# NBVAL_IGNORE_OUTPUT\n",
"# minimize the energy\n",
"md = oc.MinDriver()\n",
"md.drive(system)\n",
"\n",
"# Plot relaxed configuration: vectors in z-plane\n",
"system.m.sel(\"z\").mpl()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Computing Torque Magnetometry\n",
"The torque can be calculated using using the `mag2exp.magnetometry` module."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0, 0.0, 0.0)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# NBVAL_IGNORE_OUTPUT\n",
"import mag2exp\n",
"\n",
"mag2exp.magnetometry.torque(system.m, system.energy.zeeman.H)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Recreating experiments\n",
"A common experiment with torque magnetometry is to rotate the magnetic field relative to the sample and measure the torque. Doing this at high applied magnetic fields can reveal the magnetic anisotropy of the sample.\n",
"\n",
"Here we rotate the applied magnetic field a full $2\\pi$ perpendicular to the $x$ axis, with our initial field in the $z$ direction. The sample has uniaxial anisotropy in the $z$ direction, hence the torque forms a periodic pattern."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"angles = np.linspace(0, 2 * np.pi, 71)\n",
"\n",
"torque_val_x = np.full_like(angles, np.nan)\n",
"torque_val_y = np.full_like(angles, np.nan)\n",
"torque_val_z = np.full_like(angles, np.nan)\n",
"for i, angle in enumerate(angles):\n",
" system.energy.zeeman.H = (0, H_mag * np.sin(angle), H_mag * np.cos(angle))\n",
" md.drive(system, verbose=0)\n",
" torque_val_x[i], torque_val_y[i], torque_val_z[i] = mag2exp.magnetometry.torque(\n",
" system.m, system.energy.zeeman.H\n",
" )"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# NBVAL_IGNORE_OUTPUT\n",
"fig, ax = plt.subplots(dpi=100)\n",
"ax.hlines(\n",
" system.energy.uniaxialanisotropy.K,\n",
" xmin=np.min(angles),\n",
" xmax=np.max(angles),\n",
" color=\"r\",\n",
")\n",
"ax.hlines(\n",
" -system.energy.uniaxialanisotropy.K,\n",
" xmin=np.min(angles),\n",
" xmax=np.max(angles),\n",
" color=\"r\",\n",
")\n",
"ax.scatter(angles, torque_val_x)\n",
"ax.set_xlabel(\"Angle (rad.)\")\n",
"ax.set_ylabel(r\"Torque (Nm$^{-2}$)\")\n",
"ax.set_xlim([0, 2 * np.pi])\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## References\n",
"\\[1\\] Jackson, J. D. Classical electrodynamics. (1999).\n",
"\n",
"\\[2\\] Dunsmore, M. G., et al. Three-axis torque investigation of interfacial exchange coupling in a NiFe/CoO bilayer micromagnetic disk. AIP Advances 12.3 (2022)."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3.8.13 ('ubermagdev')",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.13"
},
"vscode": {
"interpreter": {
"hash": "3ca9094a041cc4b421461943860d4006a32a83ae6de9d82790d0cc597a0ee9b5"
}
}
},
"nbformat": 4,
"nbformat_minor": 4
}