{ "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 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 constant part $\\frac{U}{2}$ is often referred to as the Hartree term or $\\Sigma_\\infty$. At half filling the chemical potential is chosen to cancel it exactly.\n", "\n", "### Exercise 1\n", "\n", "An impurity solver takes a non-interacting Green's function $G_0$ and an impurity interaction $U$ as an input and returns the interacting Green's function $G$ as well as the self-energy $\\Sigma$.\n", "\n", "Write a function that takes $U$ 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": {}, "outputs": [], "source": [ "from triqs.gfs 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, statistic='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, statistic='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 model. One has to recursively solve a model in order to satisfy the self-consistency relation\n", "\n", "$$ G_\\mathrm{imp} = G_\\mathrm{loc} $$ \n", "\n", "$G_\\mathrm{loc}$ is defined as the k-summed lattice Green's function with the non-interacting dispersion $\\epsilon_k$:\n", "\n", "$$ G_\\mathrm{loc} = \\sum_k \\frac{1}{i \\omega_n + \\mu - \\epsilon_k - \\Sigma_\\mathrm{imp}} $$\n", "\n", "In practice one starts with a chosen $\\Sigma_\\mathrm{imp}$ (can be zero), extracts the Weiss-field:\n", "\n", "$$ {\\cal G}_0^{-1} =\n", "\\Big( \\sum_k \\frac{1}{i \\omega_n + \\mu - \\epsilon_k - \\Sigma_\\mathrm{imp}} \\Big)^{-1}\n", "+ \\Sigma_\\mathrm{imp} $$\n", "\n", "and then solves the quantum impurity problem. This yields and new $\\Sigma_\\mathrm{imp}$. Using the self-consistency relation and Dyson's equation, we have a new proposal for ${\\cal G}_0$. This scheme is iterated until the self-consistency condition is fulfilled.\n", "\n", "This graphs summarizes the DMFT loop:\n", "\n", "
\n", "\n", "Note that some impurity solvers, such as IPT, calculate the self-energy directly, while others calculate the impurity Green's function, and the self-energy is obtained via Dyson's equation.\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`.\n", "\n", "**Note: Running more loops than suggested below can make the convergence unstable.**" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "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": {}, "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 (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" }, "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 }