S4_EnergiaCelda2D_ElectronLibre.ipynb

{"cells":[{"cell_type":"markdown","metadata":{"colab_type":"text","id":"SLnBn3R0O8_M"},"source":["<h1>Estructura de bandas electrónicas para una red 2D cuadrada en la aproximación de electrón libre</h1>\n","<img src=\"https://docs.google.com/drawings/d/e/2PACX-1vTxVRoEM8tLAiyslhA1dPrxsBwLx_aHQiNcgz_D33FHRPI7TWyx1qtqPZOIBnBUtmgX87_TDm8USbpL/pub?w=916&amp;h=298\">"]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"DXE6fi8ysXma"},"source":["<h2>Definición de los puntos estrella</h2>"]},{"cell_type":"code","execution_count":11,"metadata":{},"outputs":[],"source":["import numpy as np\n","import matplotlib.pyplot as plt\n","\n","a = 1\n","\n","pi = np.pi\n","b  = 2*pi/a\n","\n","b1 = np.r_[b, 0]\n","b2 = np.r_[0, b]\n","\n","k_Gamma = np.r_[0  , 0  ]\n","k_Delta = np.r_[b/4, 0  ]\n","k_X     = np.r_[b/2, 0  ] \n","k_Z     = np.r_[b/2, b/4]\n","k_M     = np.r_[b/2, b/2]\n","k_Sigma = np.r_[b/4, b/4]"]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"W6WoIMnIoO1G"},"source":["<h2>Valores de $\\vec{k}$ y cálculo de la energía</h2>\n","<img src=\"https://docs.google.com/drawings/d/e/2PACX-1vRe7-PmBsPN4YbDxXhnIgKqEHna5_V_d8I4iDnZ384D9UC1cKUOIHvgkKcRW-nuv3SNaGFyJHP-aJ9V/pub?w=920&amp;h=347\">\n","<br><br>\n","Se define la red recíproca $\\vec{G}$, para todos los enteros $m_1$ y $m_2$, tales que dados los vectores primitivos de la red recíproca $\\vec{b}_1$ y $\\vec{b}_2$, $$\\vec{G} = m_1 \\vec{b}_1 + m_2 \\vec{b}_2 $$\n","\n","Nótese que la energía $E_{\\vec{k}}$ es invariante ante cualquier transformación de traslación dada por $\\vec{G}$."]},{"cell_type":"code","execution_count":12,"metadata":{},"outputs":[],"source":["from scipy import constants as cte\n","\n","hbar = cte.hbar/cte.e # eV s\n","m_e  = cte.m_e\n","\n","def energy(k1, k2, m1 = 0, m2 = 0, number_of_k_points = 1000):\n","    k_12 = k2 - k1\n","    norm_k_12 = np.linalg.norm(k_12)\n","    uk_12 = k_12 / norm_k_12\n","    X = np.linspace(0, norm_k_12, number_of_k_points)\n","    K = [ k1 + x*uk_12 + m1*b1 + m2*b2  for x in X ]\n","    E = [ hbar**2 * np.dot(k,k) / (2*m_e) for k in K]\n","    return X, np.array(E)\n",""]},{"cell_type":"code","execution_count":20,"metadata":{},"outputs":[{"data":{"text/plain":"Text(0, 0.5, '$E_{\\\\vec{k}}$ [eV]')"},"execution_count":20,"metadata":{},"output_type":"execute_result"},{"data":{"image/png":"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energy(k_path[i], k_path[i+1], m1 = m1, m2 = m2)\n","        k += Dk\n","        plt.plot(k, E, 'b', lw = 1)\n","        Dk = k.max()\n","        if i < len(k_labels):\n","            locs.append(k.min())\n","            locs.append(k.max())\n","            xticks.append(k_labels[i])\n","            xticks.append(k_labels[i+1])\n","        zi = (np.round(k.mean()), np.round(E[np.int16(E.size/2)]))\n","        if not zi in z_index:\n","            z_index.append(zi)\n","            plt.text(zi[0], zi[1], zone)\n","    plt.xticks(ticks=locs, labels=xticks)\n","\n","plt.xlabel(r'$\\vec{k}$')\n","plt.ylabel(r'$E_{\\vec{k}}$ [eV]')"]},{"cell_type":"markdown","metadata":{"colab_type":"text","id":"pichbnCz8jCS"},"source":["End! By the moment."]}],"nbformat":4,"nbformat_minor":2,"metadata":{"language_info":{"name":"python","codemirror_mode":{"name":"ipython","version":3}},"orig_nbformat":2,"file_extension":".py","mimetype":"text/x-python","name":"python","npconvert_exporter":"python","pygments_lexer":"ipython3","version":3}}