stable-and-manipulable-bloch-point.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Example: Stable and manipulable Bloch point\n",
    "\n",
    "This notebook serves as an example of using Ubermag (with OOMMF as a computational backend) for reproducing a figure in a publication. More precisely, in this notebook, we are going to reproduce Figure 3 published in\n",
    "\n",
    "[Beg *et al.* Stable and manipulable Bloch point. *Scientific Reports*, **9**, 7959 (2019)](https://doi.org/10.1038/s41598-019-44462-2).\n",
    "\n",
    "## One point in Figure 2: Stability\n",
    "\n",
    "We need to simulate hysteretic behaviour of a $150 \\,\\text{nm}$ disk, which consists of two layers with different sign of Dzyaloshinskii-Moriya constant $D$. The bottom layer with $D<0$ has $20 \\,\\text{nm}$ thickness, whereas the top layer with $D>0$ has $10 \\,\\text{nm}$ thickness. We start by importing the necessary modules and creating the mesh with two regions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import oommfc as oc\n",
    "import discretisedfield as df\n",
    "%matplotlib inline\n",
    "\n",
    "d = 150e-9\n",
    "hb = 20e-9\n",
    "ht = 10e-9\n",
    "cell = (5e-9, 5e-9, 2.5e-9)\n",
    "regions = {'r1': df.Region(p1=(-d/2, -d/2, -hb), p2=(d/2, d/2, 0)),\n",
    "           'r2': df.Region(p1=(-d/2, -d/2, 0), p2=(d/2, d/2, ht))}\n",
    "p1 = (-d/2, -d/2, -hb)\n",
    "p2 = (d/2, d/2, ht)\n",
    "mesh = oc.Mesh(p1=p1, p2=p2, cell=cell, regions=regions)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The mesh domain and the discretisation cells are:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mesh.mpl()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#mesh.k3d()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and the two regions we defined are:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "#mesh.k3d_regions()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we need to define the system object, and by setting magnetisation saturation, set the geometry to be a disk."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "D = {'r1': 1.58e-3, 'r2': -1.58e-3, 'r1:r2': 1.58e-9}\n",
    "Ms = 3.84e5\n",
    "A = 8.78e-12\n",
    "\n",
    "def Ms_fun(pos):\n",
    "    x, y, z = pos\n",
    "    if x**2 + y**2 <= (d/2)**2:\n",
    "        return Ms\n",
    "    else:\n",
    "        return 0\n",
    "\n",
    "system = oc.System(name='bloch-point')\n",
    "system.hamiltonian = oc.Exchange(A=A) + oc.DMI(D=D, crystalclass='T') + oc.Demag()\n",
    "system.m = df.Field(mesh, dim=3, value=(0, 0, 1), norm=Ms_fun)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our sample is now:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "#system.m.norm.k3d_nonzero()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The magnetisation in the horizontal cross-section is:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "system.m.plane('z').mpl(figsize=(8, 8))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "#system.m.plane('z').k3d_vectors(head_size=30)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we can minimise the system's energy by using `MinDriver`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2019/11/26 13:55: Running OOMMF (bloch-point.mif) ... (1.6 s)\n"
     ]
    }
   ],
   "source": [
    "md = oc.MinDriver()\n",
    "md.drive(system, overwrite=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The out-of-plane magnetisation component ($m_{z}$) is now:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "#system.m.z.k3d_voxels(norm_field=system.m.norm)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that two vortices with different orientation emerged. We can inspect this closer by plotting two layers of magnetisation in two different layers:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "#import k3d\n",
    "#plot = k3d.plot()\n",
    "#system.m.plane(z=-10e-9, n=(20, 20)).k3d_vectors(plot=plot, color_field=system.m.z, head_size=30)\n",
    "#system.m.plane(z=5e-9, n=(20, 20)).k3d_vectors(plot=plot,color_field=system.m.z, head_size=30)\n",
    "#plot.display()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now plot another cross section and see that the Bloch point emerged."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "system.m.plane('y').mpl(figsize=(10, 5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "#system.m.plane('y').k3d_vectors(color_field=system.m.z, head_size=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "#system.m.z.plane('y').k3d_voxels(color_field=system.m.z)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Figure 3: Hysteretic behaviour\n",
    "\n",
    "Finally, we can simulate the hysteresis loop."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.1 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.2 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.2 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.3 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.3 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.5 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.3 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.3 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.3 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.3 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.3 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.3 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.2 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.3 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.7 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.7 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.5 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.2 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.2 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.2 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.1 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.2 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.1 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.2 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.3 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.3 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.3 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.3 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.3 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.3 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.4 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.2 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.3 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.4 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.5 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.8 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.6 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.2 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.2 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.1 s)\n",
      "2019/11/26 13:56: Running OOMMF (bloch-point.mif) ... (1.2 s)\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "# Create an array of external fields for which the system is relaxed.\n",
    "Bmax = 1  # maximum field in hysteresis (T)\n",
    "dB = 0.1  # field step (T)\n",
    "B_array = np.concatenate([np.arange(Bmax, -Bmax, -dB),\n",
    "                          np.arange(-Bmax, Bmax+1e-12, dB)])\n",
    "\n",
    "system.hamiltonian += oc.Zeeman(H=(0, 0, 0))\n",
    "system.m = df.Field(mesh, dim=3, value=(0, 0, 1), norm=Ms_fun)\n",
    "mz = []\n",
    "for B in B_array:\n",
    "    system.hamiltonian.zeeman.H = (0, 0, B/oc.consts.mu0)\n",
    "    md.drive(system, overwrite=True)\n",
    "    mz.append(system.m.average[2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.axes_grid1.inset_locator import zoomed_inset_axes\n",
    "from mpl_toolkits.axes_grid1.inset_locator import mark_inset\n",
    "\n",
    "mz = np.array(mz)/Ms\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(8, 4))\n",
    "ax.plot(B_array, mz, 'o-', label=r\"$\\langle m_{z} \\rangle$\")\n",
    "ax.plot(0, mz[10], 'o', label='head-to-head BP')\n",
    "ax.plot(0, mz[30], 'o', label='tail-to-tail BP')\n",
    "plt.xlabel(r\"$\\mu_{0}H$ (T)\")\n",
    "plt.ylabel(r\"$\\langle m_{z} \\rangle$\")\n",
    "plt.legend(loc=4)\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "system.delete()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.7.5"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {
     "0001275c15424f5c8b982a81bdfea271": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "00aa324241b5402f815228b717ea82e6": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "013d6584c71145f4b9ff3633025aad3a": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_855b44b232cb4007a021450f0bcf0202",
       "outputs": [
        {
         "data": {
          "application/vnd.jupyter.widget-view+json": {
           "model_id": "3a6d7d82defc48f9ba6e2ae319f851d8",
           "version_major": 2,
           "version_minor": 0
          },
          "text/plain": "Plot(antialias=3, axes=['x', 'y', 'z'], axes_helper=1.0, background_color=16777215, camera=[4.5, 4.5, 4.5, 0.0…"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "020174d629bf4f2aae954dd21d898489": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_0834a3433d4f464a8a855a5fef919a7e",
       "outputs": [
        {
         "data": {
          "application/vnd.jupyter.widget-view+json": {
           "model_id": "194cab85b49e43f6b53d7f0d6b876db0",
           "version_major": 2,
           "version_minor": 0
          },
          "text/plain": "Plot(antialias=3, axes=['x', 'y', 'z'], axes_helper=1.0, background_color=16777215, camera=[4.5, 4.5, 4.5, 0.0…"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "02997ade33814bb6b76184160a66cbcf": {
      "buffers": [
       {
        "data": "eNoDAAAAAAE=",
        "encoding": "base64",
        "path": [
         "colors",
         "compressed_buffer"
        ]
       },
       {
        "data": "eNpjYGiwZ8AAxIsBAF7EAv0=",
        "encoding": "base64",
        "path": [
         "model_matrix",
         "compressed_buffer"
        ]
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",
        "encoding": "base64",
        "path": [
         "origins",
         "compressed_buffer"
        ]
       },
       {
        "data": 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",
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        ]
       }
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       "color_map": {
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       },
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       },
       "name": null,
       "opacity": 1,
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       "outlines_color": 0,
       "type": "Voxels",
       "visible": true,
       "voxels": {
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        "dtype": "uint8",
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       },
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     },
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      "state": {
       "layout": "IPY_MODEL_de4ddafad4144880bf2c703fb9b79bb6",
       "outputs": [
        {
         "data": {
          "application/vnd.jupyter.widget-view+json": {
           "model_id": "1a144fd8c2d345fd90f9e4eb7fdb39b6",
           "version_major": 2,
           "version_minor": 0
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          "text/plain": "Plot(antialias=3, axes=['x', 'y', 'z'], axes_helper=1.0, background_color=16777215, camera=[4.5, 4.5, 4.5, 0.0…"
         },
         "metadata": {},
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        }
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      }
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       "grid_auto_fit": true,
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       "rendering_steps": 1,
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       "screenshot_scale": 2,
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       "lighting": 1.5,
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       "name": null,
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       "rendering_steps": 1,
       "screenshot": "",
       "screenshot_scale": 2,
       "time": 0,
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GF8nykflWrNVkAD23ifhN0RvY4W/9WOgs4jd66rMT9/px6BURn2g/nzkd6MfmEBEvd2gCi1Tqx4FkEb973xAWfLsP/f8T8TNel9Olz3qxfacc3yVOoPFh3ag5RZ7Pi7pMO9e3YcWxsby5/0q6oPArpooVeTWjL0LtdTHqW0zkB751opbhP+i3Rpk3LTDhhiyUgz/8bJM0P1PhKUzZNZHnp67nO9ZUgU6aIv9ppC9vfqEFvh8ZyxtpJ/GksRN2TpbnV96p5NfN74XV/8rxtSHS5EBsH3Q0ifg4h4nEbn8/WD4X8QmWf5OilH7QDBbxZdsNiHR5P0z1EvG2ezaStOp+eHhWxFf87wC5/bsfRm8W8QdvOhEZrQEIyJfl2yw8SHZPP5RajuFDrfyJ7K928B82iv8/rIzaJA==",
        "encoding": "base64",
        "path": [
         "origins",
         "compressed_buffer"
        ]
       },
       {
        "data": 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