figure-02-stability.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Figure 02: Stability\n",
    "\n",
    "In this notebook, one data point from Figure 2 in [Beg *et al.* Stable and manipulable Bloch point. *Scientific Reports*, **9**, 7959 (2019)](https://doi.org/10.1038/s41598-019-44462-2) is simulated:\n",
    "\n",
    "<img src=\"stability.png\" width=800>\n",
    "\n",
    "This provides all the information necessary to fully create Figure 2.\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",
    "n = (31, 31, 5)\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, n=n, regions=regions)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The mesh domain and the discretisation cells are:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e4d61c988e194c288d88bdec642e43f5",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mesh.k3d()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "or using `matplotlib`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "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": "markdown",
   "metadata": {},
   "source": [
    "and the two regions we defined are:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6bac9e0f55f548e9a08c8798b8c264a4",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "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": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "677f547aee234147b6efd0ccab31917d",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "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": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "14e41715891a48baa0f6e064628b233f",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system.m.plane('z').k3d_vectors(head_size=30)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "or using `matplotlib`:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "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": "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": [
      "2019/11/28 16:15: Running OOMMF (bloch-point.mif) ... (1.2 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": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c019ee1ba63f4cbd8b1a7dcaff9e64bf",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "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": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d19adff37eb6418f971c820c9f45062a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "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": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5d1909ec62ed4cec823e7294bafb0863",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system.m.plane('y').k3d_vectors(color_field=system.m.z, head_size=30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7215490fa89a4f088144eb6e72c55334",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system.m.z.plane('y').k3d_voxels(color_field=system.m.z)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "We looked at the magnetisation configuration in the system with $h_\\text{top} = 15\\,\\text{nm}$. The chiralities of vortex-like states in both layers are the same, but their polarisations are opposite and a Bloch point emerges between them. The energy contribution of the top layer to the total energy of the system becomes significant. Therefore, the top layer now does not follow the polarisation of the bottom layer, but reverses its polarisation to follow the left hand rule. It is now energetically cheaper for the system to host a Bloch point than to tolerate the top layer following the polarisation of the bottom layer and having high energy density."
   ]
  }
 ],
 "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"
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    "state": {
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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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