MTJ Thermal Stability vs. Junction Diameter.ipynb

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  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyOQeZq1KvfboXyK1FsftxhX",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    },
    "accelerator": "TPU"
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/OJB-Quantum/Notebooks/blob/main/MTJ%20Thermal%20Stability%20vs.%20Junction%20Diameter.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "#  In a FePd perpendicular magnetic tunnel junction with a diameter of 10 nm, junction thickness of 60 nm, and 1 nm tunnel barrier...\n",
        "\n",
        "# Constants\n",
        "Ku = 1e6  # uniaxial anisotropy constant (J/m^3)\n",
        "t = 60e-9  # thickness of the junction (m)\n",
        "k_B = 1.380649e-23  # Boltzmann constant (J/K)\n",
        "T = 300  # room temperature (K)\n",
        "\n",
        "# Junction diameter range from 0 nm to 100 nm\n",
        "diameters = np.linspace(0, 100e-9, 100)  # in meters\n",
        "\n",
        "# Calculate the thermal stability factor for each diameter\n",
        "thermal_stability = Ku * np.pi * (diameters/2)**2 * t / (k_B * T)\n",
        "\n",
        "# Plotting\n",
        "plt.figure(figsize=(10, 6), dpi=300)\n",
        "plt.plot(diameters * 1e9, thermal_stability, color='blue')  # Convert diameters back to nm for plotting, make color changes\n",
        "plt.xlabel('Junction Diameter (nm)', fontsize = 18)\n",
        "plt.ylabel('Thermal Stability Factor (Δ)', fontsize = 18)\n",
        "plt.title('Thermal Stability vs. Junction Diameter', fontsize = 20)\n",
        "plt.grid(True)\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 809
        },
        "id": "UAbzWdJhELFz",
        "outputId": "8f6cd2c1-92e4-4025-ef75-520197bdc790"
      },
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 3000x1800 with 1 Axes>"
            ],
            "image/png": 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          },
          "metadata": {}
        }
      ]
    }
  ]
}