diff --git a/Final/Final - Tight-binding propagation method.ipynb b/Final/Final - Tight-binding propagation method.ipynb index 915da01..236dec8 100644 --- a/Final/Final - Tight-binding propagation method.ipynb +++ b/Final/Final - Tight-binding propagation method.ipynb @@ -232,20 +232,26 @@ } ], "source": [ - "def atomic_basis(x, mu, sigma):\n", + "def atomic_basis(x, mu, sigma, outer=False):\n", " \"\"\"\n", " Calculates the atomic basis functions for the 1D chain of atoms.\n", " \n", " Args:\n", " x: array of positions to calculate the wavefunction at\n", - " mu: atomic position to center Gaussian wavefunction at\n", - " sigma: broadening constant for Gaussian function\n", + " mu: atomic position(s) to center Gaussian wavefunction at\n", + " sigma: broadening constant for Gaussian function(s)\n", + " outer: if mu is an array: whether to calculate the atomic basis\n", + " on a len(x) by len(mu) grid instead of the pairs x[i]\n", + " and mu[i]\n", "\n", " Returns:\n", - " A 1D array of values for the wavefunction over the positions\n", - " as given by x.\n", + " An array of values for the wavefunction over the positions\n", + " as given by x with shape len(x) by len(mu) if outer is False\n", " \"\"\"\n", " \n", + " if outer:\n", + " return np.pi**(-1/4)*sigma**(-1/2)*np.exp(-1/2*(np.subtract.outer(x, mu)/sigma)**2)\n", + " \n", " return np.pi**(-1/4)*sigma**(-1/2)*np.exp(-1/2*((x - mu)/sigma)**2)\n", "\n", "n = 10\n", @@ -264,6 +270,28 @@ "plt.show()" ] }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(10000, 2)" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "x = np.linspace(-1, 1, 10000)\n", + "mu = np.array([1,2])\n", + "atomic_basis(x, mu, .25, True).shape" + ] + }, { "cell_type": "markdown", "metadata": { @@ -1003,6 +1031,7 @@ "\n", "for n in [10, 20, 40, 80, 100]:\n", " H_tb = TBHamiltonian(n)\n", + " # TODO: Decide whether to implement this + 1 - 1 trick here or in QREig above.\n", " E_m = QREig(H_tb + np.eye(n)) - 1\n", " plt.plot(np.arange(len(E_m)) + 1, np.sort(E_m), label=\"n = {}\".format(n))\n", "\n", @@ -1044,7 +1073,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": { "deletable": false, "nbgrader": { @@ -1062,8 +1091,33 @@ "outputs": [], "source": [ "def getDOS_ED(w, Ei, sigma):\n", - " # YOUR CODE HERE\n", - " raise NotImplementedError()" + " \"\"\"\n", + " Calculates the density-of-states (DOS) for energy grid w by\n", + " counting the occupation using a Gaussian approximation to the\n", + " delta function.\n", + " \n", + " Args:\n", + " w: grid of energies to calculate the DOS over\n", + " Ei: array of n eigenenergies for the system\n", + " sigma: standard deviation to the Gaussian\n", + "\n", + " Returns:\n", + " Tight-binding hamiltonian H_tb.\n", + " \"\"\"\n", + " \n", + " # TODO: Kijk nog eens kritisch naar de omschrijving hierboven van de functie.\n", + " \n", + " # Luckily, the function is built in such a way it can also\n", + " # handle an array input as its first argument.\n", + " delta = atomic_basis(w, Ei, sigma, True)\n", + " \n", + " rho = np.sum(delta, axis=1)\n", + " \n", + " # Now normalize rho.\n", + " N = integrate(rho, w)\n", + " rho /= N\n", + " \n", + " return rho" ] }, { @@ -1103,7 +1157,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": { "deletable": false, "nbgrader": { @@ -1118,10 +1172,39 @@ "task": false } }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "# YOUR CODE HERE\n", - "raise NotImplementedError()" + "sigma = .005\n", + "w = np.linspace(-.5, .5, 1000)\n", + "\n", + "plt.figure(figsize=(10, 6))\n", + "\n", + "for n in [10, 20, 40, 80, 100]:\n", + " H_tb = TBHamiltonian(n)\n", + " # TODO: Decide whether to implement this + 1 - 1 trick here or in QREig above.\n", + " E_m = QREig(H_tb + np.eye(n)) - 1\n", + " DOS = getDOS_ED(w, E_m, sigma)\n", + " plt.plot(w, DOS, label=\"n = {}\".format(n))\n", + "\n", + "plt.legend()\n", + "plt.grid()\n", + "plt.title(\"Density of states $\\\\rho(\\\\omega)$ for different chain lengths $n$\")\n", + "plt.xlabel(\"$m$\")\n", + "plt.ylabel(\"$E_m$\")\n", + "plt.show()" ] }, {