{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Valence-Bond DMFT solution of the Hubbard model\n", "============================\n", "\n", "In this notebook you will reproduce results for the 2D square lattice $t-t'$ Hubbard model using a minimal cluster extension (2-Patch DCA) of DMFT as published in Ref. [Phys. Rev. B **80**, 064501 (2009)](https://arxiv.org/abs/0903.2480)\n", "\n", "For further reference see also:\n", "\n", "[Europhys. Lett. **85**, 57009 (2009)](https://arxiv.org/abs/0806.4383)\n", "\n", "[Phys. Rev. B **82**, 054502 (2010)](https://arxiv.org/abs/1001.5051)\n", "\n", "[Phys. Rev. B **82**, 155101 (2010)](https://arxiv.org/abs/1007.2592)\n", "\n", "This calculation represents an approach to the normal state of cuprate superconductors. It is based on an effective two-impurity model embedded in a self-consistent bath. The two degrees of freedom of this effective model can be associated to the nodal and antinodal regions of momentum space. It allows to find a metal-insulator transition which is selective in momentum space: At low doping quasiparticles are destroyed in the antinodal region, while they remain protected in the nodal region, leading to the formation of apparent Fermi arcs. \n", "\n", "We are considering the Hubbard Hamiltonian \n", "\n", "$$H = \\sum_{{\\mathbf k}, \\sigma = \\uparrow,\\downarrow}\n", "{\\varepsilon_{\\mathbf k}} c^{\\dagger}_{\\sigma {\\mathbf k}} c_{\\sigma {\\mathbf k}} + U \\sum_{i} n_{i\\downarrow} n_{i\\uparrow}$$\n", "\n", "with\n", "\n", "$${\\varepsilon_{\\mathbf k}} = -2t \\bigl [\\cos(k_{x}) + \\cos (k_{y}) \\bigr] -4t' \\cos(k_{x}) \\cos(k_{y})$$.\n", "\n", "In the following, we use $U/t=10$ and $t'/t=-0.3$, which are values commonly used for modeling\n", "hole-doped cuprates in a single-band framework. \n", "All energies (and temperatures) are expressed in units of $D=4t=1$, and\n", "the doping is denoted by $\\delta$.\n", "\n", "We subdivide the Brillouin Zone into a minimal set of two patches of **equal** area\n", "$P_+$ (even) and $P_-$ (odd).\n", "\n", "\n", "\n", "$P_+$ is a central square centered at momentum $(0,0)$ and containing the nodal region;\n", "the complementary region $P_{-}$ extends to the edge of the BZ and contains in particular\n", "the antinodal region and the $(\\pi,\\pi)$ momentum.\n", "\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:37:07.195084Z", "iopub.status.busy": "2023-08-28T15:37:07.194662Z", "iopub.status.idle": "2023-08-28T15:37:07.521934Z", "shell.execute_reply": "2023-08-28T15:37:07.521683Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning: could not identify MPI environment!\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Starting serial run at: 2023-08-28 17:37:07.323600\n" ] } ], "source": [ "from triqs.gf import *\n", "from triqs.operators import *\n", "from triqs_cthyb import Solver\n", "from h5 import HDFArchive\n", "import triqs.utility.mpi as mpi\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "# Redirect the output of the C++ solver to the notebook\n", "from triqs.utility.redirect import *\n", "start_redirect()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Exercise 1\n", "----------\n", "\n", "Create a 2-dimensional grid of k-points ($1000 \\times 1000$) covering the Brillouin zone,\n", "\n", "and build the corresponding grid of kinetic energies (*Hint*: Have a look at numpy's linspace and meshgrid)\n", "\n", "Finally, make a contourplot of the dispersion relation. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:37:07.538439Z", "iopub.status.busy": "2023-08-28T15:37:07.538317Z", "iopub.status.idle": "2023-08-28T15:37:07.902420Z", "shell.execute_reply": "2023-08-28T15:37:07.902122Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Parameters\n", "t = 0.25\n", "tp = -0.3*t\n", "U = 10.*t\n", "beta = 200./(4*t)\n", "mu = 0.6155 # Corresponds to a doping of 0.04\n", "\n", "# Get the dispersion over the BZ\n", "k_linear = np.linspace(-np.pi, np.pi, 1000, endpoint=False)\n", "kx, ky = np.meshgrid(k_linear, k_linear)\n", "epsk = -2 * t * (np.cos(kx) + np.cos(ky)) - 4 * tp * np.cos(kx) * np.cos(ky)\n", "\n", "plt.pcolormesh( k_linear, k_linear, epsk, cmap='RdBu_r', shading='auto', vmin=-1.3, vmax=1.3)\n", "plt.colorbar().set_label(r'$\\epsilon_\\mathbf{k}$', fontsize=16)\n", "plt.xlabel('$k_x$', fontsize=14)\n", "plt.ylabel('$k_y$', fontsize=14)\n", "plt.axis('scaled')\n", "plt.title(\"Contourplot of the dispersion relation\", fontsize = 14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Exercise 2\n", "----------\n", "\n", "You will now calculate the partial density of states for both the even and odd patch.\n", "For this it is useful to create a normalized histogram for each patch and bin the kinetic energies you\n", "calculated into the corresponding histogram.\n", "\n", "Plot the partial density of states for both patches and compare with Fig. 2 of [Phys. Rev. B **80**, 064501 (2009)](https://arxiv.org/abs/0903.2480)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:37:07.903876Z", "iopub.status.busy": "2023-08-28T15:37:07.903787Z", "iopub.status.idle": "2023-08-28T15:37:07.971297Z", "shell.execute_reply": "2023-08-28T15:37:07.971064Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# A mask giving the k points inside the central patch\n", "in_central_patch = (np.abs(kx) < np.pi/np.sqrt(2)) & (np.abs(ky) < np.pi/np.sqrt(2))\n", "\n", "# The number of bins for used in the Histogram\n", "n_bins = 50\n", "\n", "# Find the partial densities of states associated to the patches\n", "energies, epsilon, rho, delta = {},{}, {}, {}\n", "energies['even'] = np.extract(in_central_patch, epsk)\n", "energies['odd'] = np.extract(np.invert(in_central_patch), epsk)\n", "\n", "for patch in ['even','odd']:\n", " h = np.histogram(energies[patch], bins=n_bins, density=True)\n", " epsilon[patch] = 0.5 * (h[1][0:-1] + h[1][1:])\n", " rho[patch] = h[0]\n", " delta[patch] = h[1][1]-h[1][0]\n", " plt.fill_between(epsilon[patch], rho[patch], lw=3, label=patch, alpha=0.5)\n", " \n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Exercise 3\n", "----------\n", "\n", "Calculate the local Hamiltonian of the two-site impurity\n", "\n", "$H_\\mathrm{loc} = U ( n_{1,\\uparrow} n_{1,\\downarrow} + n_{2,\\uparrow} n_{2,\\downarrow} )$\n", "\n", "in the even-odd basis\n", "\n", "$c_{\\pm,\\sigma} = (c_{1,\\sigma} \\pm c_{2,\\sigma})/\\sqrt{2}$\n", "\n", "Recall that Hamiltonians can be easily build using the creation and annihilation operators `c` and `c_dag=dagger(c)`\n", "of the TRIQS library" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:37:07.972708Z", "iopub.status.busy": "2023-08-28T15:37:07.972641Z", "iopub.status.idle": "2023-08-28T15:37:07.975206Z", "shell.execute_reply": "2023-08-28T15:37:07.974965Z" } }, "outputs": [], "source": [ "# Calculate the creation/annihilation operators in the site basis by means of the even/odd basis\n", "cn, cn_dag, nn = {}, {}, {}\n", "for spin in ['up','down']:\n", " cn['1-%s'%spin] = (c('even-%s'%spin,0) + c('odd-%s'%spin,0)) / np.sqrt(2)\n", " cn['2-%s'%spin] = (c('even-%s'%spin,0) - c('odd-%s'%spin,0)) / np.sqrt(2)\n", " nn['1-%s'%spin] = dagger(cn['1-%s'%spin]) * cn['1-%s'%spin]\n", " nn['2-%s'%spin] = dagger(cn['2-%s'%spin]) * cn['2-%s'%spin]\n", "\n", "# Local Hamiltonian\n", "h_loc = U * (nn['1-up'] * nn['1-down'] + nn['2-up'] * nn['2-down'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Exercise 4\n", "----------\n", "\n", "We do now have all the ingredients to set up the DMFT loop.\n", "According to the DCA Equations we update the Weiss field as\n", "\n", "$${\\cal G}_0^{-1} = G^{-1} + \\Sigma$$\n", "\n", "with\n", "\n", "$$G_{\\pm,\\sigma} = \\int d\\epsilon \\, \\frac{\\rho_{\\pm,\\sigma}(\\epsilon)}{i\\omega + \\mu - \\epsilon - \\Sigma_{\\pm,\\sigma}}$$\n", "\n", "Fill the missing self-consistency condition into the empty DMFT Loop below." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:37:07.976486Z", "iopub.status.busy": "2023-08-28T15:37:07.976419Z", "iopub.status.idle": "2023-08-28T15:40:21.420045Z", "shell.execute_reply": "2023-08-28T15:40:21.419795Z" } }, "outputs": [], "source": [ "# Construct the impurity solver\n", "S = Solver(beta = beta,\n", " gf_struct = [('even-up',1), ('odd-up',1), ('even-down',1), ('odd-down',1)], n_l = 100)\n", "\n", "# The local lattice Green's function\n", "G = S.G0_iw.copy()\n", "\n", "# Initial guess\n", "S.Sigma_iw << mu\n", "\n", "# DMFT loop\n", "n_loops = 10\n", "for it in range(n_loops):\n", " \n", " # DCA self-consistency - get local lattice G\n", " G.zero()\n", " for spin in ['up', 'down']:\n", " for patch in ['even', 'odd']:\n", " # Hilbert transform\n", " for i in range(n_bins):\n", " G['%s-%s'%(patch,spin)] += rho[patch][i] * delta[patch] * \\\n", " inverse(iOmega_n + mu - epsilon[patch][i] - S.Sigma_iw['%s-%s'%(patch,spin)])\n", "\n", " # DCA self-consistency - find next impurity G0\n", " for block, g0 in S.G0_iw:\n", " g0 << inverse(inverse(G[block]) + S.Sigma_iw[block])\n", "\n", " # Run the solver. The results will be in S.G_tau, S.G_iw and S.G_l\n", " S.solve(h_int = h_loc, # Local Hamiltonian\n", " n_cycles = 10000, # Number of QMC cycles\n", " length_cycle = 10, # Length of one cycle\n", " n_warmup_cycles = 1000, # Warmup cycles\n", " measure_G_l = True) # Measure G_l\n", " \n", " if mpi.is_master_node():\n", " with HDFArchive(\"results.h5\") as A:\n", " A['G_iw-%i'%it] = S.G_iw\n", " A['Sigma_iw-%i'%it] = S.Sigma_iw\n", " A['G0_iw-%i'%it] = S.G0_iw" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Analyzing the precomputed results\n", "\n", "Converging the above DMFT for the given parameters is unfortunately a longer calculation on multiple cores.\n", "\n", "We have however provided precomputed results achieved with a version of this Notebook that are provided in the\n", "`data/vbdmft` subfolder.\n", "\n", "The following cell plots the real and imaginary part of both the odd and even Green's function.\n", "One can clearly observe how the odd Green's function becomes insulating as one approaches the half-filled case, while the even Green's function remains metallic. The pseudogap physics can thus be captured qualitatively already with this rather rough DCA patching scheme.\n", "\n", "This plots below can be directly compared with Fig. 25 of Phys. Rev. B **80**, 064501 (2009)." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:40:21.421589Z", "iopub.status.busy": "2023-08-28T15:40:21.421521Z", "iopub.status.idle": "2023-08-28T15:40:21.782766Z", "shell.execute_reply": "2023-08-28T15:40:21.782443Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from triqs.plot.mpl_interface import *\n", "\n", "plt.figure(figsize=(20,8))\n", "\n", "plt.subplot(2,2,1)\n", "for doping in [\"0.04\",\"0.08\",\"0.12\",\"0.16\",\"0.20\"]:\n", " with HDFArchive(\"data/vbdmft/doping_%s.h5\"%doping,'r') as A:\n", " i = 9\n", " oplot(A['G_iw-%i'%i]['even-up'].real, '-o', label=\"$\\delta = %s$\"%doping)\n", "plt.xlim(0,1.5)\n", "plt.ylim(0,2)\n", "\n", "plt.subplot(2,2,2)\n", "for doping in [\"0.04\",\"0.08\",\"0.12\",\"0.16\",\"0.20\"]:\n", " with HDFArchive(\"data/vbdmft/doping_%s.h5\"%doping,'r') as A:\n", " i = 9\n", " oplot(A['G_iw-%i'%i]['odd-up'].real, '-o', label=\"$\\delta = %s$\"%doping)\n", "plt.xlim(0,1.5)\n", "plt.ylim(-3,0)\n", "\n", "plt.subplot(2,2,3)\n", "for doping in [\"0.04\",\"0.08\",\"0.12\",\"0.16\",\"0.20\"]:\n", " with HDFArchive(\"data/vbdmft/doping_%s.h5\"%doping,'r') as A:\n", " i = 9\n", " oplot(A['G_iw-%i'%i]['even-up'].imag, '-o', label=\"$\\delta = %s$\"%doping)\n", "plt.xlim(0,1.5)\n", "plt.ylim(-3,0)\n", "\n", "plt.subplot(2,2,4)\n", "for doping in [\"0.04\",\"0.08\",\"0.12\",\"0.16\",\"0.20\"]:\n", " with HDFArchive(\"data/vbdmft/doping_%s.h5\"%doping,'r') as A:\n", " i = 9\n", " oplot(A['G_iw-%i'%i]['odd-up'].imag, '-o', label=\"$\\delta = %s$\"%doping)\n", "plt.xlim(0,1.5)\n", "plt.ylim(-3,0)\n", "\n", "plt.show()" ] } ], "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 } }, "nbformat": 4, "nbformat_minor": 4 }