{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# A first DMFT calculation\n", "\n", "The goal of this notebook is to make a first DMFT calculation using the iterated perturbation theory (IPT) to solve the impurity problem.\n", "You will proceed in two steps: first you will set up the IPT\n", "impurity solver and then you will set up the DMFT loop.\n", "\n", "## The iterated perturbation theory\n", "\n", "The IPT is a cheap way to solve the impurity problem at half-filling, but fails away from half-filling [(further information)](https://doi.org/10.1103/PhysRevB.86.085133). It **approximates** the self-energy by second-order\n", "perturbation theory, just like in the last exercise of the notebook\n", "on Green's functions:\n", "\n", "$$ \\Sigma(i\\omega_n) = \\frac{U}{2} + U^2 \\int_0^\\beta d\\tau e^{i \\omega_n \\tau} {\\cal G}_0(\\tau)^3 $$\n", "\n", "Note that the first term, $\\frac{U}{2}$, is the chemical potential $\\mu$ for half-filling.\n", "\n", "### Exercise 1\n", "\n", "An impurity solver takes a non-interacting Green's function $G_0$, an impurity interaction $U$ and an inverse temperature $\\beta$ as an input and returns the interacting Green's function $G$ as well as the\n", "self-energy $\\Sigma$.\n", "\n", "Write a function that takes $U$, $\\beta$ and ${\\cal G}_0(i\\omega)$ as an input and returns the second order perturbation theory result for $\\Sigma(i\\omega)$ as well as the corresponding $G(i\\omega)$. \n", "If you are more familiar with python, you can write a `Solver` class that is constructed with $\\beta$.\n", "The class should contain a class member `G0` that is to be initialized by the user.\n", "It should further contain a member function `solve` that, given the interaction $U$, sets the class members $G$ and $\\Sigma$ to the results. \n", "The advantage of using a class is that Green's functions will not have to be constructed at every call of the\n", "function `solve`.\n", "\n", "For half-filling $\\mu$ corresponds to $U/2$ for the one band model discussed here. It is however common practice to shift both the self-energy and $\\mu$ by $-U/2$ (keeping $G$ unchanged). This way $\\mu=0$ corresponds to the half-filled case, and the self-energy only consists of the second term in the IPT equation." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:34:38.517708Z", "iopub.status.busy": "2023-08-28T15:34:38.517420Z", "iopub.status.idle": "2023-08-28T15:34:38.626232Z", "shell.execute_reply": "2023-08-28T15:34:38.625997Z" } }, "outputs": [], "source": [ "from triqs.gf import *\n", "import numpy as np\n", "from math import pi\n", "class IPTSolver:\n", " def __init__(self, beta):\n", " self.beta = beta\n", "\n", " # Matsubara frequency Green's functions\n", " iw_mesh = MeshImFreq(beta=beta, S='Fermion', n_iw=1001)\n", " self.G_iw = Gf(mesh=iw_mesh, target_shape=[1,1])\n", " self.G0_iw = self.G_iw.copy() # self.G0 will be set by the user after initialization\n", " self.Sigma_iw = self.G_iw.copy()\n", " \n", " # Imaginary time\n", " tau_mesh = MeshImTime(beta=beta, S='Fermion', n_tau=10001)\n", " self.G0_tau = Gf(mesh=tau_mesh, target_shape=[1,1])\n", " self.Sigma_tau = self.G0_tau.copy()\n", " \n", " def solve(self, U):\n", " self.G0_tau << Fourier(self.G0_iw)\n", " self.Sigma_tau << (U**2) * self.G0_tau * self.G0_tau * self.G0_tau\n", " self.Sigma_iw << Fourier(self.Sigma_tau)\n", " \n", " # Dyson\n", " self.G_iw << inverse(inverse(self.G0_iw) - self.Sigma_iw)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Dynamical mean-field theory\n", "\n", "In DMFT, the lattice self-energy is approximated by that of an impurity\n", "model. One has to recursively solve a model in order to satisfy the\n", "self-consistency relation\n", "\n", "$$ G_\\mathrm{imp} = \\sum_k \\frac{1}{i \\omega_n + \\mu - \\epsilon_k - \\Sigma_\\mathrm{imp}} $$\n", "\n", "In practice one starts with a chosen ${\\cal G}_0$ and then solves the quantum\n", "impurity problem. This yields $\\Sigma_\\mathrm{imp}$. Using the self-consistency\n", "relation and Dyson's equation, we have a new proposal for ${\\cal G}_0$:\n", "\n", "$$ \\Big( {\\cal G}_0^\\mathrm{new} \\Big)^{-1} =\n", "\\Big( \\sum_k \\frac{1}{i \\omega_n + \\mu - \\epsilon_k - \\Sigma_\\mathrm{imp}} \\Big)^{-1}\n", "+ \\Sigma_\\mathrm{imp} $$\n", "\n", "We solve the quantum impurity for this new $G_0$ and loop until\n", "convergence\n", "\n", "\n", "\n", "\n", "## Bethe lattice DMFT\n", "\n", "When the lattice is a Bethe lattice with infinite coordination, the self-consistency relation\n", "discussed above takes a particularly simple form\n", "\n", "$$ {\\cal G}_0^{-1} = i\\omega_n + \\mu - t^2 G_\\mathrm{imp} $$\n", "\n", "Hence, we do not need to perform a $k$-sum over the Brillouin zone to extract the new Weiss field ${\\cal G}_0$ for the Bethe lattice. Note that this is a specific attribute of the Bethe lattice, and for other lattice types one has to use the Dyson equation.\n", "\n", "### Exercise 2\n", "\n", "You will now implement the DMFT loop for the Bethe lattice using the IPT solver that you have\n", "defined above. We give you the beginning of the script so that you have the parameters.\n", "In order to see how the DMFT loops converge, plot the spectral function of the Green's function\n", "at every loop. Use the Pade approximation to obtain the real-frequency Green's function.\n", "\n", "Note that, as we chose the convention $\\mu=0$ for the IPT solver, the chemical potential also drops out of the self-consistency relation of the Bethe lattice.\n", "\n", "Remember that the non-interacting Green's function ${\\cal G}_0(i\\omega)$ for the Bethe lattice can be obtained using `SemiCircular`." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:34:38.627795Z", "iopub.status.busy": "2023-08-28T15:34:38.627699Z", "iopub.status.idle": "2023-08-28T15:34:39.362884Z", "shell.execute_reply": "2023-08-28T15:34:39.362626Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from triqs.plot.mpl_interface import *\n", "%matplotlib inline\n", "# change scale of all figures to make them bigger\n", "import matplotlib as mpl\n", "mpl.rcParams['figure.dpi']=100\n", "\n", "t = 1.0\n", "U = 5.0\n", "beta = 20\n", "n_loops = 25\n", "\n", "S = IPTSolver(beta = beta)\n", "S.G_iw << SemiCircular(2*t)\n", "\n", "fig = plt.figure(figsize=(12,8))\n", "\n", "for i in range(n_loops):\n", " S.G0_iw << inverse( iOmega_n - t**2 * S.G_iw )\n", " S.solve(U = U)\n", " \n", " # Get real axis function with Pade approximation\n", " G_w = Gf(mesh=MeshReFreq(window = (-5.0,5.0), n_w=1000), target_shape=[1,1])\n", " G_w.set_from_pade(S.G_iw, 100, 0.01)\n", " \n", " if i % 8 == 0:\n", " oplot(-G_w.imag/pi, figure = fig, label = \"Iteration = %i\" % (i+1), name=r\"$\\rho$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing the Mott transition\n", "\n", "You now have all the material to do a scan for different values of $U$ and see how a Mott transition appears.\n", "\n", "### Exercise 3\n", "\n", "Write a script which scans values of $U$ between 2.0 and 8.0 and plot the spectral function.\n", "Where does the Mott transition appear?" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:34:39.379640Z", "iopub.status.busy": "2023-08-28T15:34:39.379505Z", "iopub.status.idle": "2023-08-28T15:34:40.518644Z", "shell.execute_reply": "2023-08-28T15:34:40.518395Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "\n", "# Parameters of the model\n", "t = 1.0\n", "beta = 20\n", "n_loops = 25\n", "\n", "fig = plt.figure(figsize=(6,6))\n", "pn = 0 # iteration counter for plotting\n", "\n", "for U in np.arange(2.0, 7.5, 1.0):\n", " \n", " S = IPTSolver(beta = beta)\n", " S.G_iw << SemiCircular(2*t)\n", "\n", " # DMFT\n", " for i in range(n_loops):\n", " S.G0_iw << inverse( iOmega_n - t**2 * S.G_iw )\n", " S.solve(U)\n", "\n", " # Get the real-axis with Pade approximation\n", " G_w = Gf(mesh=MeshReFreq(window=(-8.0,8.0), n_w=1000), target_shape=[1,1])\n", " G_w.set_from_pade(S.G_iw, 100, 0.01)\n", " \n", " # plotting\n", " ax = fig.add_axes([0,1.-(pn+1)/6.,1,1./6.]) # subplot\n", " ax.set_xticklabels([])\n", " ax.set_yticklabels([])\n", " oplot(-G_w.imag/pi, linewidth=3, label = \"U = %.2f\" % U)\n", " plt.xlim(-8,8)\n", " plt.ylim(0,0.35)\n", " plt.ylabel(\"\")\n", " pn = pn + 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparison with the literature\n", "\n", "You can compare the result above with what can be found in the literature\n", "(review of Antoine Georges et al.)\n", "\n", "" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.11.5" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "widgets": { "state": {}, "version": "1.1.1" } }, "nbformat": 4, "nbformat_minor": 4 }