S4_G4_EstructuraBandasFCC/S4_G4_EstructuraBandasFCC.ipynb

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    "<CENTER><h1>Estructura de bandas electrónicas para una red 3D para la estructura cristalina FCC</h1></CENTER>\n",
    "<div align=\"right\">Por:<br>Angie M. Sanchez<br>Jorge A. Quintero<br>Kevin A. González<br>2019</div>"
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   "cell_type": "markdown",
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    "<br style=\"clear:both;\" />\n",
    "<div id=\"imagenes\" align=\"center\">\n",
    "<img src=\"https://raw.githubusercontent.com/davidalejandromiranda/estadoSolido/master/S4_G4_EstructuraBandasFCC/Assets/3DFCC.png\" style=\"width:35%\" />\n",
    "<h3>Primera zona de Brillouin de una red FCC</h3>\n",
    "<a href=\"https://youtu.be/4O8R89EQ-Sw\" target=\"_blank\"><b>Video explicativo</b></a>\n",
    "</div>"
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    "#Importar librerías y definir algunas variables, vectores primitivos y puntos\n",
    "#estrella (de alta simetría)\n",
    "\n",
    "import numpy as np               \n",
    "import matplotlib.pyplot as plt\n",
    "from scipy import constants as cte\n",
    "a = 1\n",
    "pi = np.pi\n",
    "b  = 2*pi/a\n",
    "\n",
    "\n",
    "\n",
    "#escribimos los vectores en el espacio recìproco\n",
    "b1 = np.r_[-b, b, b]\n",
    "b2 = np.r_[b, -b, b]\n",
    "b3 = np.r_[b, b, -b]\n",
    "#Escribimos los puntos estrella correspondientes\n",
    "k_Gamma = np.r_[0  , 0  ,0]\n",
    "k_K     = np.r_[3*b/4, 3*b/4, 0]\n",
    "k_W     = np.r_[b, b/2, 0]       \n",
    "k_X     = np.r_[b, 0  ,0] \n",
    "k_U     = np.r_[b, b/4, b/4]\n",
    "k_L     = np.r_[b/2, b/2  ,b/2]"
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    "Se define la red recíproca $\\vec{G}$, para todos los enteros $m_1$ y $m_2$,$m_3$ tales que dados los vectores primitivos de la red recíproca $\\vec{b}_1$ y $\\vec{b}_2$,$\\vec{b}_3$, $$\\vec{G} = m_1 \\vec{b}_1 + m_2 \\vec{b}_2 + m_3 \\vec{b}_3 $$\n",
    "\n",
    "Nótese que la energía $E_{\\vec{k}}$ es invariante ante cualquier transformación de traslación dada por $\\vec{G}$."
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   "execution_count": 2,
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    "#Definios la constante de planck y la masa del electròn\n",
    "hbar = cte.hbar/cte.e # eV s\n",
    "m_e  = cte.m_e\n",
    "\n",
    "\n",
    "#Energy:\n",
    "#funciòn que recibe dos vectores k1 y k2, los coeficientes m1 y m2.\n",
    "#La salida son dos arreglos: el primero con los nùmeros entre 0 y la norma del vector unitario.\n",
    "#El segundo con los valores de la energìa para los valores de k(entre k1 y k2).\n",
    "\n",
    "def energy(k1, k2, m1 = 0, m2 = 0, m3 = 0, number_of_k_points = 1000): \n",
    "    k_12 = k2 - k1 #restamos los vectores\n",
    "    norm_k_12 = np.linalg.norm(k_12) # calcular la norma de la resta anterior\n",
    "    uk_12 = k_12 / norm_k_12 #calcular el vector normal\n",
    "    X = np.linspace(0, norm_k_12, number_of_k_points) #lista de nùmeros entre 0 y la norma de k1 y k2\n",
    "    K = [ k1 + x*uk_12 + m1*b1 + m2*b2 + m3*b3 for x in X ] # calcula los k en el camino entre k1 y k2\n",
    "    E = [ hbar**2 * np.dot(k,k) / (2*m_e) for k in K] #carlcula las energìas correspondientes\n",
    "    return X, np.array(E)\n",
    "\n",
    "# càlculo de la energìa de fermi\n",
    "efermi = 8*(hbar**2)*b**2/(2*m_e*2*np.pi)\n"
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    "k_labels = ['$L$',r'$K$',r'$U$',r'$W$', r'$\\Gamma$', r'$X$',r'$W$', r'$L$', r'$\\Gamma$',r'$K$',r'$U$',r'$X$']"
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# Se definen las zonas de Brillouin, y los caminos que tomarán los \n",
    "#vectores al lo largo de los puntos estrellas.\n",
    "k_path = [k_L, k_K, k_U, k_W, k_Gamma, k_X, k_W, k_L, k_Gamma, k_K, k_U ,k_X]\n",
    "\n",
    "\n",
    "plt.figure(dpi = 200)\n",
    "BZ = { # valores de m1 y m2 para la BZ -> (m1, m2)\n",
    "    1: ( 0,  0, 0),\n",
    "    2: (-1,  0, 0),\n",
    "    3: ( 0, -1, 0),\n",
    "    4: (-1, -1, -1),\n",
    "    5: ( 0,  0, -1),\n",
    "    6: ( 1,  0, 0),\n",
    "    7: ( 0,  1, 0),\n",
    "    8: ( 0,  0, 1),\n",
    "    9: ( 1,  1, 1),\n",
    "    10:(-1,  1, 0),\n",
    "    11:( 1, -1, 0),\n",
    "    12:( 0, -1, 1),\n",
    "    13:( 0,  1, -1),\n",
    "    14:(-1,  0,  1),\n",
    "    15:( 1,  0, -1),\n",
    "    16:( 1,   1, 0),\n",
    "    17:( 0,   1, 1),\n",
    "    18:( 1,  0, 1),\n",
    "    19:( -1,  0, -1),\n",
    "    20:( -1,  -1, 0),\n",
    "    21:(0,  -1, -1),\n",
    "    22:( 1, -1, -1),\n",
    "    23:(-1, -1, 1),\n",
    "    24:( -1,  1, -1),\n",
    "    25:( -1,  1, 1),\n",
    "    26:( 1,  1, -1),\n",
    "    27:( 1, -1, 1)}\n",
    "\n",
    "#Calculo de las energìas de las bandas para cada camino de las zonas de Brillouin\n",
    "for zone in range(1, 28):\n",
    "    #recibimos cada coeficientes\n",
    "    m1 = BZ[zone][0]\n",
    "    m2 = BZ[zone][1]\n",
    "    m3 = BZ[zone][2]\n",
    "    Dk = 0\n",
    "    #Calculamos la energìa teniendo en cuenta el cambio del vector k dependiendo de cada zona\n",
    "    for i in range(len(k_path)-1):\n",
    "        k, E = energy(k_path[i], k_path[i+1], m1 = m1, m2 = m2, m3 = m3)\n",
    "        k += Dk\n",
    "        plt.plot(k, E, 'k', lw = 1)#graficamos la energìa\n",
    "        Dk = k.max()\n",
    "        if i < len(k_labels):\n",
    "            plt.text(k.min(), 1, k_labels[i],fontsize=5) #graficamos los nombres de los puntos estrella\n",
    "            plt.text(k.max(), 1, k_labels[i+1],fontsize=5)        \n",
    "            \n",
    "#arregamos los nombres a los ejes y la barra para indicar la energìa de fermi\n",
    "plt.axhline(efermi, color='g',ls=\"dotted\")\n",
    "texto1 = plt.text(1, efermi+0.5, r'$\\epsilon_f$', fontsize=8)\n",
    "plt.ylim(0, 30)\n",
    "plt.xlim(0, 50)\n",
    "plt.xlabel(r'$\\vec{k}$')\n",
    "plt.ylabel(r'$E_{\\vec{k}}$ [eV]')\n",
    "plt.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "End!"
   ]
  }
 ],
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