{ "cells": [ { "cell_type": "markdown", "id": "365113a6", "metadata": {}, "source": [ "# Magnon laser introduction\n", "\n", "### © Branislav K. Nikolić and Jalil Varela-Manjarres, University of Delaware\n", "[PHYS660: Computational Methods of Physics](https://wiki.physics.udel.edu/phys660) " ] }, { "cell_type": "markdown", "id": "bb6088a2", "metadata": {}, "source": [ "## What is covered in this notebook\n", "\n", "* Introduction to black hole magnon production " ] }, { "cell_type": "code", "execution_count": 1, "id": "eed0be26", "metadata": {}, "outputs": [], "source": [ "### Libraries\n", "import micromagneticmodel as mm ### Main object- where the model and their properties are defined\n", "import discretisedfield as df ### For defining magnetic finite(discrete) configurations\n", "import oommfc as mc ### Calculator for the dynamics \n", "import mumax3c as muma\n", "import numpy as np" ] }, { "cell_type": "markdown", "id": "e7245fc1", "metadata": {}, "source": [ "Analitically, we can see that the low energy exictations has a very well defined relation dispersion. solving for the LLG equations we find \n", "$$\\omega(\\mathbf{k})$$\n", "\n", "Is important always have in mind that this relation dispersion defines an object with a very well defined relation between its momentum and its energy, the object that follows this relation usually is called a magnon. Also, the relation dispersion contains more information about the physical properties of the system. from the relation dispersion we can define the speed with which this object moves and carries information. This usually is called the phase and the group velocity \n", "\n", "$$v_{\\phi} = \\frac{\\omega}{k}$$\n", "$$v=\\frac{\\partial \\omega }{\\partial k }$$\n", "\n", "Where the phase velocity usually is not related with the transmision of information, and just is related with the carrier waves over which the information is transmited. Taking this into account from now on we talk about the velocity we refer then to the group velocity.\n", "\n", "Then, the material by itself must have a velocity defined by the properties of the material.\n", "\n", "\n", "\n" ] }, { "attachments": { "image-2.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "5f43bf56", "metadata": {}, "source": [ "![image-2.png](attachment:image-2.png)" ] }, { "cell_type": "markdown", "id": "e54e7315", "metadata": {}, "source": [ "The key behind the magnon production is in the convection terms in the LLG equations. Because it shift the relation disperion.\n", "\n", "$$\\frac{\\partial \\mathbf{m}}{\\partial t}+(\\mathbf{u} \\cdot \\nabla) \\mathbf{m}=\\gamma \\mathbf{B}_{\\mathrm{eff}} \\times \\mathbf{m}+\\alpha \\mathbf{m} \\times \\frac{\\partial \\mathbf{m}}{\\partial t}$$\n", "\n", "This convection terms are related with STT terms introduced by the interaction with the polarized spin currents comming from electron currents. \n", "\n", "\n", "$$\\rightarrow \\omega_u(\\mathbf{k}) = \\omega_0(\\mathbf{k}) + \\mathbf{u}\\cdot \\mathbf{k}$$" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "b681bcd2", "metadata": {}, "source": [ "![image.png](attachment:image.png)" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "b2fa154e", "metadata": {}, "source": [ "![image.png](attachment:image.png)" ] }, { "cell_type": "markdown", "id": "378c2eb3", "metadata": {}, "source": [ "Then, lets simulate the three regions that allow us to get" ] }, { "cell_type": "code", "execution_count": 2, "id": "eb31e701", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "9bfad33ba2414f7aa916f79ad91e7061", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Output()" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system = mm.System(name='MagLas') ### Define the system object\n", "L = 500e-9\n", "Lz=30e-9\n", "region = df.Region(p1=(-L, -L, 0), p2=(L, L, Lz))\n", "mesh = df.Mesh(region=region, cell=(5e-9, 5e-9, 5e-9) )#, bc='xy')\n", "mesh.k3d()#mpl()" ] }, { "cell_type": "code", "execution_count": null, "id": "0bf2326b", "metadata": {}, "outputs": [], "source": [ "A= 1.3e-11 ## J/m\n", "Ms = 7.96e5 ## A/m ### It must correspond to 1 T 1T == 7.957747 e5 A/m\n", "alpha = 0.007\n", "H = (7.96e3, 0., 0.) ## it must be 0.01 T \n", "system.energy = (mm.Exchange(A=A)\n", " + mm.Zeeman(H= H) \n", " + mm.Demag())\n", "#system.energy" ] }, { "cell_type": "code", "execution_count": null, "id": "e845af26", "metadata": {}, "outputs": [], "source": [ "gamma0 = 2.211e5 ### gyrotropic ratio parameter (m/As)\n", "alpha = 0.007#0.1 ### Gilbert damping\n", "system.dynamics = mm.Precession(gamma0=gamma0) + mm.Damping(alpha=alpha)\n", "#### In the dynamics surely we also have to add the Zhang-Li terms " ] }, { "cell_type": "code", "execution_count": null, "id": "745f85aa", "metadata": {}, "outputs": [], "source": [ "### Now we define the region in the middle\n", "a2 = 500e-8\n", "b2 = 30e-8\n", "m=np.sqrt(b2/a2)\n", "def m_init(pos):\n", " \"\"\"Function to set initial magnetisation direction:\n", " \"\"\"\n", " x, y, z = pos\n", " if y<0 and x>y*m and x 1e-9):\n", " return (0, 0, 0)\n", " elif y>0 and y>np.abs(x)/m and (np.abs((y**2/a2 - x**2/b2)) > 1e-9):\n", " return (0, 0, 0)\n", " else:\n", " return (1, 0, 0)\n", "m= df.Field(mesh, dim=3, value=m_init, norm=Ms)\n", "system.m = m" ] }, { "cell_type": "code", "execution_count": null, "id": "ce5acc42", "metadata": {}, "outputs": [], "source": [ "m.x.plane('z').mpl()" ] }, { "cell_type": "code", "execution_count": null, "id": "2bf11cbc", "metadata": {}, "outputs": [], "source": [ "md = mc.MinDriver()\n", "md.drive(system)" ] }, { "cell_type": "code", "execution_count": null, "id": "a9d61754", "metadata": { "scrolled": false }, "outputs": [], "source": [ "system.m.z.plane('z').mpl()#.scalar()" ] }, { "cell_type": "code", "execution_count": null, "id": "ae590d99", "metadata": {}, "outputs": [], "source": [ "ux = 3e7 # velocity in x-direction (m/s)\n", "beta = 0.5 # non-adiabatic STT parameter\n", "system.dynamics += mm.ZhangLi(u=ux, beta=beta) " ] }, { "cell_type": "code", "execution_count": null, "id": "9de57a3e", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "433c2ca4", "metadata": {}, "outputs": [], "source": [ "system.dynamics" ] }, { "cell_type": "code", "execution_count": null, "id": "a2c85f47", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running mumax3 (ExeMumax3Runner)[2023/09/08 11:48]... " ] } ], "source": [ "mu = muma.TimeDriver()\n", "td = mc.TimeDriver()\n", "mu.drive(system, t = 0.1e-9, n = 50)" ] }, { "cell_type": "code", "execution_count": null, "id": "212d0443", "metadata": {}, "outputs": [], "source": [ "system.m.z.plane('z').mpl()#.scalar()" ] }, { "cell_type": "code", "execution_count": null, "id": "92420199", "metadata": {}, "outputs": [], "source": [ "import micromagneticdata as md\n", "data = md.Data(system.name)\n", "@df.interact(n=data[-1].slider(continuous_update=True))\n", "def myplot(n):\n", " data[-1][n].y.plane('z').mpl.scalar(figsize=(15, 5) )#, filter_field=system.m.norm)\n", "#plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "fd856297", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "0dd8c546", "metadata": {}, "outputs": [], "source": [] } ], "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }