{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Standard problem 5\n", "\n", "## Problem specification\n", "\n", "The sample is a thin film cuboid with dimensions:\n", "\n", "- length $l_{x} = 100 \\,\\text{nm}$,\n", "- width $l_{y} = 100 \\,\\text{nm}$, and\n", "- thickness $l_{z} = 10 \\,\\text{nm}$.\n", "\n", "The material parameters (similar to permalloy) are:\n", "\n", "- exchange energy constant $A = 1.3 \\times 10^{-11} \\,\\text{J/m}$,\n", "- magnetisation saturation $M_\\text{s} = 8 \\times 10^{5} \\,\\text{A/m}$.\n", "\n", "Dynamics parameters are: $\\gamma_{0} = 2.211 \\times 10^{5} \\,\\text{m}\\,\\text{A}^{-1}\\,\\text{s}^{-1}$ and Gilbert damping $\\alpha=0.02$.\n", "\n", "In the standard problem 5, the system is firstly relaxed at zero external magnetic field, starting from the vortex state. Secondly spin-polarised current is applied in the $x$ direction with $u_{x} = -72.35$ and $\\beta=0.05$.\n", "\n", "More detailed specification of Standard problem 5 can be found in Ref. 1.\n", "\n", "## Simulation\n", "\n", "In the first step, we import the required `discretisedfield` and `mumax3c` modules." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import discretisedfield as df\n", "import micromagneticmodel as mm\n", "\n", "import mumax3c as mc" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can set all required geometry and material parameters." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Geometry\n", "lx = 100e-9 # x dimension of the sample(m)\n", "ly = 100e-9 # y dimension of the sample (m)\n", "lz = 10e-9 # sample thickness (m)\n", "dx = dy = dz = 5e-9 # discretisation cell (nm)\n", "\n", "# Material (permalloy) parameters\n", "Ms = 8e5 # saturation magnetisation (A/m)\n", "A = 1.3e-11 # exchange energy constant (J/m)\n", "\n", "# Dynamics (LLG equation) parameters\n", "gamma0 = 2.211e5 # gyromagnetic ratio (m/As)\n", "alpha = 0.1 # Gilbert damping\n", "ux = -72.35 # velocity in x direction\n", "beta = 0.05 # non-adiabatic STT parameter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As usual, we create the system object with `stdprob5` name." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "system = mm.System(name=\"stdprob5\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The mesh is created by providing two points `p1` and `p2` between which the mesh domain spans and the size of a discretisation cell. We choose the discretisation to be $(5, 5, 5) \\,\\text{nm}$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "77d446654c4940b399cfcff8ec9891af", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "\n", "region = df.Region(p1=(0, 0, 0), p2=(lx, ly, lz))\n", "mesh = df.Mesh(region=region, cell=(dx, dy, dz))\n", "mesh.k3d()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Hamiltonian:** In the second step, we define the system's Hamiltonian. In this standard problem, the Hamiltonian contains only exchange and demagnetisation energy terms. Please note that in the first simulation stage, there is no applied external magnetic field. Therefore, we do not add Zeeman energy term to the Hamiltonian." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$- A \\mathbf{m} \\cdot \\nabla^{2} \\mathbf{m}-\\frac{1}{2}\\mu_{0}M_\\text{s}\\mathbf{m} \\cdot \\mathbf{H}_\\text{d}$" ], "text/plain": [ "Exchange(A=1.3e-11) + Demag()" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "system.energy = mm.Exchange(A=A) + mm.Demag()\n", "system.energy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Magnetisation:** We initialise the system using the initial magnetisation function." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "def m_vortex(pos):\n", " x, y, z = pos[0] / 1e-9 - 50, pos[1] / 1e-9 - 50, pos[2] / 1e-9\n", "\n", " return (-y, x, 10)\n", "\n", "\n", "system.m = df.Field(mesh, dim=3, value=m_vortex, norm=Ms)\n", "system.m.plane(z=0).mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Dynamics:** In the first (relaxation) stage, we minimise the system's energy and therefore we do not need to specify the dynamics equation.\n", "\n", "**Minimisation:** Now, we minimise the system's energy using `MinDriver`." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running mumax3 (ExeMumax3Runner)[2022/06/22 11:32]... (0.3 s)\n" ] } ], "source": [ "md = mc.MinDriver()\n", "md.drive(system)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "system.m.plane(z=0).mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spin-polarised current" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the second part of simulation, we need to specify the dynamics equation for the system." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$-\\frac{\\gamma_{0}}{1 + \\alpha^{2}} \\mathbf{m} \\times \\mathbf{H}_\\text{eff}-\\frac{\\gamma_{0} \\alpha}{1 + \\alpha^{2}} \\mathbf{m} \\times (\\mathbf{m} \\times \\mathbf{H}_\\text{eff})-(\\mathbf{u} \\cdot \\boldsymbol\\nabla)\\mathbf{m} + \\beta\\mathbf{m} \\times \\big[(\\mathbf{u} \\cdot \\boldsymbol\\nabla)\\mathbf{m}\\big]$" ], "text/plain": [ "Precession(gamma0=221100.0) + Damping(alpha=0.1) + ZhangLi(u=-72.35, beta=0.05)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "system.dynamics += (\n", " mm.Precession(gamma0=gamma0) + mm.Damping(alpha=alpha) + mm.ZhangLi(u=ux, beta=beta)\n", ")\n", "system.dynamics" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can drive the system for $8 \\,\\text{ns}$ and save the magnetisation in $n=100$ steps." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running mumax3 (ExeMumax3Runner)[2022/06/22 11:32]... (4.5 s)\n" ] } ], "source": [ "td = mc.TimeDriver()\n", "td.drive(system, t=8e-9, n=100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The vortex after $8 \\,\\text{ns}$ is now displaced from the centre." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "system.m.plane(z=0).mpl()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "system.table.mpl(y=[\"mx\", \"my\"])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## References\n", "\n", "[1] µMAG Site Directory: http://www.ctcms.nist.gov/~rdm/mumag.org.html" ] } ], "metadata": { "anaconda-cloud": {}, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "01ccec2a498a4c758a54df66be633112": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "1dea7cd6228d498e85abc9aa6b2142bf": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "b53ab639ab02476686c40c0c8eb6b573": { "buffers": [ { "data": "eNrbUOTDENRylwEADvwDIg==", "encoding": "base64", "path": [ "color_map", "compressed_buffer" ] }, { "data": "eNpjYDjhxAAHHlA2TMwDSU7BkYFhgQMDCmiwBwCxZAUp", "encoding": "base64", "path": [ "model_matrix", "compressed_buffer" ] }, { "data": "eNpjZMQATIyjYBSMAjAAAOn5AyI=", "encoding": "base64", "path": [ "voxels", "compressed_buffer" ] } ], "model_module": "k3d", "model_module_version": "2.7.4", "model_name": "ObjectModel", "state": { "_view_count": null, "_view_module": null, "_view_module_version": "", "_view_name": null, "colorLegend": false, "color_map": { "compressed_buffer": {}, "dtype": "uint32", "shape": [ 2 ] }, "compression_level": 0, "id": 140273951864848, "model_matrix": { "compressed_buffer": {}, "dtype": "float32", "shape": [ 4, 4 ] }, "name": "Voxels #1", "opacity": 1, "outlines": false, "outlines_color": 0, "type": "Voxels", "visible": true, "voxels": { "compressed_buffer": {}, "dtype": "uint8", "shape": [ 2, 20, 20 ] }, "wireframe": false } }, "cf3d7b11a88148e98efd679ecca79408": { "model_module": "k3d", "model_module_version": "2.7.4", "model_name": "PlotModel", "state": { "_backend_version": "2.7.4", "_dom_classes": [], "_view_count": null, "antialias": 3, "auto_rendering": true, "axes": [ "x (nm)", "y (nm)", "z (nm)" ], "axes_helper": 1, "background_color": 16777215, "camera": [ 168.14829249574893, -127.84743865980434, 16.589829186617465, 49.75000003352761, 49.75000003352761, 4.749999940395355, 0, 0, 1 ], "camera_animation": [], "camera_auto_fit": true, "camera_fov": 60, "camera_no_pan": false, "camera_no_rotate": false, "camera_no_zoom": false, "clipping_planes": [], "colorbar_object_id": -1, "fps": 25, "fps_meter": false, "grid": [ -1, -1, -1, 1, 1, 1 ], "grid_auto_fit": true, "grid_visible": true, "height": 512, "layout": "IPY_MODEL_1dea7cd6228d498e85abc9aa6b2142bf", "lighting": 1.5, "menu_visibility": true, "mode": "view", "name": null, "object_ids": [ 140273951864848 ], "rendering_steps": 1, "screenshot": "", "screenshot_scale": 2, "snapshot": "", "time": 0, "voxel_paint_color": 0 } }, "fa0e65b762594f73b755cd5777ed844d": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "layout": "IPY_MODEL_01ccec2a498a4c758a54df66be633112", "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "cf3d7b11a88148e98efd679ecca79408", "version_major": 2, "version_minor": 0 }, "text/plain": "Plot(antialias=3, axes=['x', 'y', 'z'], axes_helper=1.0, background_color=16777215, camera=[2, -3, 0.2, 0.0, 0…" }, "metadata": {}, "output_type": "display_data" } ] } } }, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }