{ "cells": [ { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Periodic boundary conditions\n", "\n", "In this tutorial, we compute and relax a skyrmion in an interfacial-DMI (Cnv) material in a part of an infinitely large thin film." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [] }, "outputs": [], "source": [ "import oommfc as mc\n", "import discretisedfield as df\n", "import micromagneticmodel as mm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define mesh in cuboid through corner points `p1` and `p2`, and discretisation cell size `cell`." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [] }, "outputs": [], "source": [ "region = df.Region(p1=(-50e-9, -50e-9, 0), p2=(50e-9, 50e-9, 10e-9))\n", "mesh = df.Mesh(region=region, cell=(5e-9, 5e-9, 5e-9), bc='xy')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here `bc=\"xy\"` means that we have periodic boundary conditions along the `x` and `y` directions. The mesh we defined is:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mesh.mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can define the system object by first setting up the Hamiltonian:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "tags": [] }, "outputs": [ { "data": { "text/latex": [ "$- A \\mathbf{m} \\cdot \\nabla^{2} \\mathbf{m}+ D ( \\mathbf{m} \\cdot \\nabla m_{z} - m_{z} \\nabla \\cdot \\mathbf{m} )-K (\\mathbf{m} \\cdot \\mathbf{u})^{2}-\\mu_{0}M_\\text{s} \\mathbf{m} \\cdot \\mathbf{H}$" ], "text/plain": [ "Exchange(A=1.6e-11) + DMI(D=0.004, crystalclass='Cnv_z') + UniaxialAnisotropy(K=200000.0, u=(0, 0, 1)) + Zeeman(H=(0, 0, 100000.0))" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "system = mm.System(name='skyrmion')\n", "\n", "system.energy = (mm.Exchange(A=1.6e-11)\n", " + mm.DMI(D=4e-3, crystalclass='Cnv_z') \n", " + mm.UniaxialAnisotropy(K=0.2e6, u=(0, 0, 1)) \n", " + mm.Zeeman(H=(0, 0, 1e5)))\n", "\n", "system.energy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we need to define a function to define the initial magnetisation which is going to relax to skyrmion." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "scrolled": true, "tags": [] }, "outputs": [], "source": [ "def m_init(pos):\n", " \"\"\"Function to set initial magnetisation direction: \n", " -z inside cylinder (r=10nm),\n", " +z outside cylinder.\n", " y-component to break symmetry.\n", " \n", " \"\"\"\n", " x, y, z = pos\n", " if (x**2 + y**2)**0.5 < 10e-9:\n", " return (0, 0, -1)\n", " else:\n", " return (0, 0, 1)\n", "\n", "system.m = df.Field(mesh, nvdim=3, value=m_init, norm=1.1e6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The initial magnetsation is:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/mlang/miniconda3/envs/ubermagdev310/lib/python3.10/site-packages/matplotlib/quiver.py:645: RuntimeWarning: divide by zero encountered in scalar divide\n", " length = a * (widthu_per_lenu / (self.scale * self.width))\n", "/home/mlang/miniconda3/envs/ubermagdev310/lib/python3.10/site-packages/matplotlib/quiver.py:645: RuntimeWarning: invalid value encountered in multiply\n", " length = a * (widthu_per_lenu / (self.scale * self.width))\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system.m.sel('z').mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally we can minimise the energy and plot the magnetisation." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2023/10/23 16:08]... (0.4 s)\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# minimize the energy\n", "md = mc.MinDriver()\n", "md.drive(system)\n", "\n", "# Plot relaxed configuration: vectors in z-plane\n", "system.m.sel('z').mpl()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot z-component only:\n", "system.m.z.sel('z').mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally we can sample and plot the magnetisation along the line:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "tags": [] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system.m.z.line(p1=(-49e-9, 0, 0), p2=(49e-9, 0, 0), n=20).mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally let us compute the skyrmion number\n", "\n", "$$S = \\frac{1}{4\\pi}\\int\\mathbf{m}\\cdot\\left(\\frac{\\partial \\mathbf{m}}{\\partial x} \\times \\frac{\\partial \\mathbf{m}}{\\partial y}\\right)dxdy$$" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "text/plain": [ "array([-0.92414447])" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import math\n", "m = system.m.orientation.sel('z')\n", "\n", "1/(4*math.pi) * (m.dot(m.diff('x').cross(m.diff('y')))).integrate()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "text/plain": [ "-0.9241444720743723" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import discretisedfield.tools as dft\n", "dft.topological_charge(system.m.sel('z'))" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "text/plain": [ "-1.0001397845194369" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dft.topological_charge(system.m.sel('z'), method='berg-luescher')" ] } ], "metadata": { "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": "3.10.12" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "2db872f906254c54af7e6e02481537ec": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "layout": "IPY_MODEL_882593ff9c8c43f782173409152827fe", "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "77171ab54880404b9d141dd194224906", "version_major": 2, "version_minor": 0 }, "text/plain": "Plot(antialias=3, axes=['x', 'y', 'z'], axes_helper=1.0, background_color=16777215, camera_animation=[], camer…" }, "metadata": {}, "output_type": "display_data" } ] } }, "56331198fad7456cb32149b52a0bb0a2": { "buffers": [ { "data": "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", "encoding": "base64", "path": [ "color_map", "data" ] }, { "data": "AADIQgAAAAAAAAAAAAAAAAAAAAAAAMhCAAAAAAAAAAAAAAAAAAAAAAAAIEEAAKBAAAAAAAAAAAAAAAAAAACAPw==", "encoding": "base64", "path": [ "model_matrix", "data" ] }, { "data": "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", "encoding": "base64", "path": [ "voxels", "data" ] } ], "model_module": "k3d", "model_module_version": "2.11.0", "model_name": "ObjectModel", "state": { "_view_count": null, "_view_module": null, "_view_module_version": "", "_view_name": null, "colorLegend": false, "color_map": { "dtype": "uint32", "shape": [ 256 ] }, "compression_level": 0, "id": 139985935862224, "model_matrix": { "dtype": "float32", "shape": [ 4, 4 ] }, "name": "Voxels #1", "opacity": 1, "outlines": false, "outlines_color": 0, "type": "Voxels", "visible": true, "voxels": { "dtype": "uint8", "shape": [ 2, 20, 20 ] }, "wireframe": false } }, "58e1683df71b48819dac312359f1d8da": { "model_module": "k3d", "model_module_version": "2.11.0", "model_name": "PlotModel", "state": { "_backend_version": "2.11.0", "_dom_classes": [], "_view_count": null, "antialias": 3, "auto_rendering": true, "axes": [ "x\\,\\text{ (nm)}", "y\\,\\text{ (nm)}", "z\\,\\text{ (nm)}" ], "axes_helper": 1, "background_color": 16777215, "camera": [ 118.1482925020046, -177.84743868082938, 16.589829187708908, -0.2499999711290002, -0.2499999711290002, 4.749999940395355, 0, 0, 1 ], "camera_animation": [], "camera_auto_fit": true, "camera_damping_factor": 0, "camera_fov": 60, "camera_mode": "trackball", "camera_no_pan": false, "camera_no_rotate": false, "camera_no_zoom": false, "camera_pan_speed": 0.3, "camera_rotate_speed": 1, "camera_zoom_speed": 1.2, "clipping_planes": [], "colorbar_object_id": -1, "colorbar_scientific": false, "fps": 25, "fps_meter": false, "grid": [ -1, -1, -1, 1, 1, 1 ], "grid_auto_fit": true, "grid_color": 15132390, "grid_visible": true, "height": 512, "label_color": 4473924, "layout": "IPY_MODEL_7979342a056b4080b3a052afdd3efe0c", "lighting": 1.5, "manipulate_mode": "translate", "menu_visibility": true, "mode": "view", "name": null, "object_ids": [ 139985935862224 ], "rendering_steps": 1, "screenshot": "", "screenshot_scale": 2, "snapshot": "", "snapshot_type": "full", "time": 0, "voxel_paint_color": 0 } }, "77171ab54880404b9d141dd194224906": { "model_module": "k3d", "model_module_version": "2.11.0", "model_name": "PlotModel", "state": { "_backend_version": "2.11.0", "_dom_classes": [], "_view_count": null, "antialias": 3, "auto_rendering": true, "axes": [ "x\\,\\text{(nm)}", "y\\,\\text{(nm)}", "z\\,\\text{(nm)}" ], "axes_helper": 1, "background_color": 16777215, "camera": [ 118.1482925020046, -177.84743868082938, 16.589829187708908, -0.2499999711290002, -0.2499999711290002, 4.749999940395355, 0, 0, 1 ], "camera_animation": [], "camera_auto_fit": true, "camera_damping_factor": 0, "camera_fov": 60, "camera_mode": "trackball", "camera_no_pan": false, "camera_no_rotate": false, "camera_no_zoom": false, "camera_pan_speed": 0.3, "camera_rotate_speed": 1, "camera_zoom_speed": 1.2, "clipping_planes": [], "colorbar_object_id": -1, "colorbar_scientific": false, "fps": 25, "fps_meter": false, "grid": [ -1, -1, -1, 1, 1, 1 ], "grid_auto_fit": true, "grid_color": 15132390, "grid_visible": true, "height": 512, "label_color": 4473924, "layout": "IPY_MODEL_e6d7de3a8f8d4c37b5172bd4a14aef88", "lighting": 1.5, "manipulate_mode": "translate", "menu_visibility": true, "mode": "view", "name": null, "object_ids": [ 139985971103056 ], "rendering_steps": 1, "screenshot": "", "screenshot_scale": 2, "snapshot": "", "snapshot_type": "full", "time": 0, "voxel_paint_color": 0 } }, "7979342a056b4080b3a052afdd3efe0c": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "882593ff9c8c43f782173409152827fe": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "9f513b71a172403fbdd31e84176b6e28": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "layout": "IPY_MODEL_a5ea7fee39504f50a2e44296753ccc04", "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "58e1683df71b48819dac312359f1d8da", "version_major": 2, "version_minor": 0 }, "text/plain": "Plot(antialias=3, axes=['x', 'y', 'z'], axes_helper=1.0, background_color=16777215, camera_animation=[], camer…" }, "metadata": {}, "output_type": "display_data" } ] } }, "a5ea7fee39504f50a2e44296753ccc04": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} }, "b94e723f39a14da4930efa5db4bc8532": { "buffers": [ { "data": "sHJMAFKE3QA=", "encoding": "base64", "path": [ "color_map", "data" ] }, { "data": "AADIQgAAAAAAAAAAAAAAAAAAAAAAAMhCAAAAAAAAAAAAAAAAAAAAAAAAIEEAAKBAAAAAAAAAAAAAAAAAAACAPw==", "encoding": "base64", "path": [ "model_matrix", "data" ] }, { "data": "AQEBAQEBAQEBAQEBAQEBAQEBAQIBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQEBAQE=", "encoding": "base64", "path": [ "voxels", "data" ] } ], "model_module": "k3d", "model_module_version": "2.11.0", "model_name": "ObjectModel", "state": { "_view_count": null, "_view_module": null, "_view_module_version": "", "_view_name": null, "colorLegend": false, "color_map": { "dtype": "uint32", "shape": [ 2 ] }, "compression_level": 0, "id": 139985971103056, "model_matrix": { "dtype": "float32", "shape": [ 4, 4 ] }, "name": "Voxels #1", "opacity": 1, "outlines": false, "outlines_color": 0, "type": "Voxels", "visible": true, "voxels": { "dtype": "uint8", "shape": [ 2, 20, 20 ] }, "wireframe": false } }, "e6d7de3a8f8d4c37b5172bd4a14aef88": { "model_module": "@jupyter-widgets/base", "model_module_version": "1.2.0", "model_name": "LayoutModel", "state": {} } }, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }