{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Back to the main [Index](../index.ipynb) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# $G_0W_0$ band structure with star-function interpolation\n", "[[back to top](#top)]\n", "\n", "Standard functionals (LDA and GGA), systematically underestimate band gaps, giving values\n", "that are about 30-40% smaller than experimental data.\n", "The inability of standard Kohn-Sham (KS) theory to give band gaps close to experiment is often referred to as the **band-gap problem**.\n", "\n", "From a theoretical point of view this is not surprising since KS eigenvalues are not supposed to give the correct band energies.\n", "The band structure of a crystal is rigorously defined as the energies needed to add or subtract electrons from the many-body system\n", "which, in turn, are related to the difference between total energies of **many-body states** differing by one electron.\n", "\n", "An alternative, more traditional, approach to the study of exchange-correlation effects in\n", "many-body systems is provided by Many-Body Perturbation Theory (MBPT) which defines a rigorous approach to the description of excited-state properties, based on the Green's function formalism.\n", "In this lesson, we discuss how to use the MBPT part of ABINIT to compute the band-structure of silicon\n", "within the so-called $G_0W_0$ approximation.\n", "For a very brief introduction to the many-body formalism, please consult the \n", "[MBPT_notes](https://docs.abinit.org/theory/mbt/)\n", "\n", "### Related ABINIT variables\n", "\n", " * optdriver\n", " * ecuteps\n", " * ecutsigx\n", " * nband\n", " * gwcalctyp\n", " * gw_qprange\n", " * all gw** variables\n", " \n", "## Table of Contents\n", "[[back to top](#top)]\n", "\n", "- [Description of the lesson](#Description-of-the-lesson)\n", "- [Analysis of the results](#Analysis-of-the-results)\n", "- [Interpolating the QP corrections](#Interpolating-the-QP-corrections)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Description of the lesson\n", "[[back to top](#top)]\n", "\n", "In this lesson, we construct an AbiPy flow made of two works.\n", "The first work is a standard KS band-structure calculation consisting of\n", "an initial GS calculation to get the density, followed by two NSCF calculations.\n", "The first NSCF task computes the KS eigenvalues on a high-symmetry path in the BZ,\n", "whereas the second NSCF task employs a homogeneous k-mesh so that one can compute\n", "the DOS from the KS eigenvalues.\n", "\n", "The second work represents the real GW workflow that uses the density computed in the first task of\n", "the previous work to compute the KS bands for *many empty states*.\n", "The WFK file produced in this step is then used to compute the screened interaction $W$.\n", "Finally, we perform a self-energy calculation that uses the $W$ produced\n", "in the previous step and the WFK file to compute the matrix elements of the self-energy and\n", "the $G_0W_0$ corrections for all the k-points in the IBZ and 8 bands (4 occupied + 4 empty).\n", "Once the flow is completed, we can interpolate the $G_0W_0$ corrections.\n", "\n", "Do not worry if there are steps of the entire procedure that are not clear to you.\n", "$GW$ calculations are much more complicated than standard KS band structures and\n", "the main goal of this lesson is to give you an overview of the Abipy capabilities." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's start with the usual import section:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# Use this at the beginning of your script so that your code will be compatible with python3\n", "from __future__ import print_function, division, unicode_literals\n", "\n", "import numpy as np\n", "import warnings\n", "warnings.filterwarnings(\"ignore\") # to get rid of deprecation warnings\n", "\n", "from abipy import abilab\n", "abilab.enable_notebook() # This line tells AbiPy we are running inside a notebook\n", "\n", "import abipy.flowtk as flowtk\n", "\n", "# This line configures matplotlib to show figures embedded in the notebook.\n", "# Replace `inline` with `notebook` in classic notebook\n", "%matplotlib inline \n", "\n", "# Option available in jupyterlab. See https://github.com/matplotlib/jupyter-matplotlib\n", "#%matplotlib widget " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and now we import the `make_inputs` function that generates the inputs files required by our `Flow`.\n", "Let's have a look at the code:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "scrolled": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "

\n", "\n", "
def make_inputs(ngkpt, dos_ngkpt=(6, 6, 6), paral_kgb=0):\n",
       "    """\n",
       "    Crystalline silicon: calculation of the G0W0 band structure with the scissors operator.\n",
       "\n",
       "    Args:\n",
       "        ngkpt: list of 3 integers. Abinit variable defining the k-point sampling.\n",
       "        dos_ngkpt: list of 3 integers. k-point sampling for DOS.\n",
       "        paral_kgb: Option used to select the eigensolver in the GS part.\n",
       "\n",
       "    Return:\n",
       "        Six AbinitInput objects:\n",
       "\n",
       "        [0]: Ground state run to get the density.\n",
       "        [1]: NSCF run to get the KS band structure on a high-symmetry k-path.\n",
       "        [2]: NSCF run with a homogeneous sampling of the BZ to compute the KS DOS with `dos_ngkpt`.\n",
       "        [3]: NSCF run with empty states to prepare the GW steps.\n",
       "        [4]: Calculation of the screening from the WFK file computed in dataset 4.\n",
       "        [5]: Use the SCR file computed at step 5 and the WFK file computed in dataset 4 to get the GW corrections.\n",
       "    """\n",
       "    multi = abilab.MultiDataset(abidata.cif_file("si.cif"),\n",
       "                                pseudos=abidata.pseudos("14si.pspnc"), ndtset=6)\n",
       "\n",
       "    # Add mnemonics to input file.\n",
       "    multi.set_mnemonics(True)\n",
       "\n",
       "    # This grid is the most economical and we will use it for the GS.\n",
       "    # Note that it does not contain Gamma point so we cannot use it to\n",
       "    # compute the QP corrections at the Gamma point.\n",
       "    scf_kmesh = dict(\n",
       "        ngkpt=ngkpt,\n",
       "        shiftk=[0.5, 0.5, 0.5,\n",
       "                0.5, 0.0, 0.0,\n",
       "                0.0, 0.5, 0.0,\n",
       "                0.0, 0.0, 0.5]\n",
       "    )\n",
       "\n",
       "    # k-point sampling for DOS (gamma-centered)\n",
       "    dos_kmesh = dict(\n",
       "        ngkpt=dos_ngkpt,\n",
       "        shiftk=[0.0, 0.0, 0.0])\n",
       "\n",
       "    # This grid contains the Gamma point, which is the point at which\n",
       "    # we will compute the (direct) band gap.\n",
       "    gw_kmesh = dict(\n",
       "        ngkpt=ngkpt,\n",
       "        shiftk=[0.0, 0.0, 0.0,\n",
       "                0.0, 0.5, 0.5,\n",
       "                0.5, 0.0, 0.5,\n",
       "                0.5, 0.5, 0.0]\n",
       "    )\n",
       "\n",
       "    # Global variables\n",
       "    ecut = 6\n",
       "    multi.set_vars(\n",
       "        ecut=ecut,\n",
       "        istwfk="*1",\n",
       "        paral_kgb=paral_kgb,\n",
       "        gwpara=2,\n",
       "    )\n",
       "\n",
       "    # Dataset 1 (GS run to get the density)\n",
       "    multi[0].set_kmesh(**scf_kmesh)\n",
       "    multi[0].set_vars(\n",
       "        tolvrs=1e-6,\n",
       "        nband=4,\n",
       "    )\n",
       "    multi[0].set_kmesh(**scf_kmesh)\n",
       "\n",
       "    # Dataset 2 (NSCF run with k-path)\n",
       "    multi[1].set_vars(iscf=-2,\n",
       "                      tolwfr=1e-12,\n",
       "                      nband=8,\n",
       "                      )\n",
       "    multi[1].set_kpath(ndivsm=8)\n",
       "\n",
       "    # Dataset 3 (DOS NSCF)\n",
       "    multi[2].set_vars(iscf=-2,\n",
       "                      tolwfr=1e-12,\n",
       "                      nband=8,\n",
       "                      )\n",
       "    multi[2].set_kmesh(**dos_kmesh)\n",
       "\n",
       "    # Dataset 4 (NSCF run to produce WFK for GW, note the presence of empty states)\n",
       "    multi[3].set_vars(iscf=-2,\n",
       "                      tolwfr=1e-12,\n",
       "                      nband=35,\n",
       "                     )\n",
       "    multi[3].set_kmesh(**gw_kmesh)\n",
       "\n",
       "    # Dataset3: Calculation of the screening.\n",
       "    multi[4].set_vars(\n",
       "        optdriver=3,\n",
       "        nband=25,\n",
       "        ecutwfn=ecut,\n",
       "        symchi=1,\n",
       "        inclvkb=0,    # Disable [Vnl, r] contribution for q --> 0\n",
       "        ecuteps=4.0,\n",
       "    )\n",
       "    multi[4].set_kmesh(**gw_kmesh)\n",
       "\n",
       "    multi[5].set_vars(\n",
       "            optdriver=4,\n",
       "            nband=10,\n",
       "            ecutwfn=ecut,\n",
       "            ecuteps=4.0,\n",
       "            ecutsigx=6.0,\n",
       "            symsigma=1,\n",
       "            gw_qprange=-4,  # Compute GW corrections for all kpts in IBZ,\n",
       "                            # all occupied states and 4 empty states,\n",
       "        )\n",
       "    multi[5].set_kmesh(**gw_kmesh)\n",
       "\n",
       "    return multi.split_datasets()\n",
       "
\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from lesson_g0w0 import make_inputs\n", "abilab.print_source(make_inputs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "OK, the function is a little bit long but it is normal since we are running different kind of calculations,\n", "each step has its own set of variables and $GW$ calculations are much more difficult than standard KS calculations!\n", "\n", "If there are variables whose meaning is not clear to you, please take some time to read the Abinit documentation\n", "and the standard $GW$ tutorials before proceeding.\n", "For your convenience, we report the variables used to compute the screening and the electron self-energy" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "scf, bands_nscf, dos_nscf, gw_nscf, scr, sig = make_inputs(ngkpt=(2, 2, 2))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Input for RPA screening calculation" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "############################################################################################
# SECTION: basic
############################################################################################
# <Energy CUToff>
ecut 6
# <Number of BANDs>
nband 25
# <Number of Grid points for K PoinTs generation>
ngkpt 2 2 2
# <KPoinTs OPTion>
kptopt 1
# <Number of SHIFTs for K point grids>
nshiftk 4
# <SHIFT for K points>
shiftk
0.0 0.0 0.0
0.0 0.5 0.5
0.5 0.0 0.5
0.5 0.5 0.0
############################################################################################
# SECTION: dev
############################################################################################
# <Integer for choice of STorage of WaveFunction at each k point>
istwfk *1
############################################################################################
# SECTION: gstate
############################################################################################
# <OPTions for the DRIVER>
optdriver 3
############################################################################################
# SECTION: gw
############################################################################################
# <Energy CUT-off for WaveFunctioNs>
ecutwfn 6
# <SYMmetryze $\\chi_o$>
symchi 1
# <INCLude VKB>
inclvkb 0
# <Energy CUT-off for EPSilon (the dielectric matrix)>
ecuteps 4.0
############################################################################################
# SECTION: paral
############################################################################################
# <activate PARALelization over K-point, G-vectors and Bands>
paral_kgb 0
# <GW PARAllelization level>
gwpara 2
############################################################################################
# STRUCTURE
############################################################################################
# <Number of ATOMs>
natom 2
# <Number of TYPes of AToms>
ntypat 1
# <TYPe of AToms>
typat 1 1
# <charge -Z- of the NUCLeus>
znucl 14
# <vectors (X) of atom positions in REDuced coordinates>
xred
0.0000000000 0.0000000000 0.0000000000
0.2500000000 0.2500000000 0.2500000000
# <CELL lattice vector scaling>
acell 1.0 1.0 1.0
# <Real space PRIMitive translations>
rprim
6.3285005272 0.0000000000 3.6537614829
2.1095001757 5.9665675167 3.6537614829
0.0000000000 0.0000000000 7.3075229659" ], "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "scr" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Input for self-energy calculation with plasmon-pole model" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "############################################################################################
# SECTION: basic
############################################################################################
# <Energy CUToff>
ecut 6
# <Number of BANDs>
nband 10
# <Number of Grid points for K PoinTs generation>
ngkpt 2 2 2
# <KPoinTs OPTion>
kptopt 1
# <Number of SHIFTs for K point grids>
nshiftk 4
# <SHIFT for K points>
shiftk
0.0 0.0 0.0
0.0 0.5 0.5
0.5 0.0 0.5
0.5 0.5 0.0
############################################################################################
# SECTION: dev
############################################################################################
# <Integer for choice of STorage of WaveFunction at each k point>
istwfk *1
############################################################################################
# SECTION: gstate
############################################################################################
# <OPTions for the DRIVER>
optdriver 4
############################################################################################
# SECTION: gw
############################################################################################
# <Energy CUT-off for WaveFunctioNs>
ecutwfn 6
# <Energy CUT-off for EPSilon (the dielectric matrix)>
ecuteps 4.0
# <Energy CUT-off for SIGma eXchange>
ecutsigx 6.0
# <SYMmetrization of SIGMA matrix elements>
symsigma 1
# <GW QuasiParticle RANGE policy>
gw_qprange -4
############################################################################################
# SECTION: paral
############################################################################################
# <activate PARALelization over K-point, G-vectors and Bands>
paral_kgb 0
# <GW PARAllelization level>
gwpara 2
############################################################################################
# STRUCTURE
############################################################################################
# <Number of ATOMs>
natom 2
# <Number of TYPes of AToms>
ntypat 1
# <TYPe of AToms>
typat 1 1
# <charge -Z- of the NUCLeus>
znucl 14
# <vectors (X) of atom positions in REDuced coordinates>
xred
0.0000000000 0.0000000000 0.0000000000
0.2500000000 0.2500000000 0.2500000000
# <CELL lattice vector scaling>
acell 1.0 1.0 1.0
# <Real space PRIMitive translations>
rprim
6.3285005272 0.0000000000 3.6537614829
2.1095001757 5.9665675167 3.6537614829
0.0000000000 0.0000000000 7.3075229659" ], "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sig" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can use the 4 inputs file produced by `make_inputs` to generate our $GW$ flow.\n", "The tricky part is represented by the connections among the tasks in the $GW$ part. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", " \n", " \n", " \n", "\n", "\n", "

\n", "\n", "
def build_g0w0_flow(options=None, ngkpt=(2, 2, 2)):\n",
       "    """\n",
       "    Build and return a flow with two works.\n",
       "    The first work is a standard KS band-structure calculation that consists of\n",
       "    an initial GS calculation to get the density followed by two NSCF calculations.\n",
       "\n",
       "    The first NSCF task computes the KS eigenvalues on a high-symmetry path in the BZ,\n",
       "    whereas the second NSCF task employs a homogeneous k-mesh so that one can compute\n",
       "    the DOS from the KS eigenvalues.\n",
       "\n",
       "    The second work represents the real GW workflow that uses the density computed in the first task of\n",
       "    the previous work  to compute the KS bands for many empty states.\n",
       "    The WFK file produced in this step is then used to compute the screened interaction $W$.\n",
       "    Finally, we perform a self-energy calculation that uses the $W$ produced\n",
       "    in the previous step and the WFK file to compute the matrix elements of the self-energy and\n",
       "    the $G_0W_0$ corrections for all the k-points in the IBZ and 8 bands (4 occupied + 4 empty)\n",
       "    """\n",
       "\n",
       "    # Call make_input to build our 4 input objects.\n",
       "    scf, bands_nscf, dos_nscf, gw_nscf, scr, sig = make_inputs(ngkpt=ngkpt)\n",
       "\n",
       "    workdir = options.workdir if (options and options.workdir) else "flow_g0w0"\n",
       "    flow = flowtk.Flow(workdir=workdir)\n",
       "\n",
       "    # Add KS band structure work (SCF-GS followed by two NSCF runs\n",
       "    # (the first one is done on a k-path, the second on the IBZ to compute the DOS\n",
       "    work0 = flowtk.BandStructureWork(scf, bands_nscf, dos_inputs=dos_nscf)\n",
       "    flow.register_work(work0)\n",
       "\n",
       "    # Create new Work for GW\n",
       "    work1 = flowtk.Work()\n",
       "\n",
       "    # NSCF run with empty states\n",
       "    gw_nscf_task = work1.register_nscf_task(gw_nscf, deps={work0[0]: "DEN"})\n",
       "\n",
       "    # SCR run with WFK produced by previous task.\n",
       "    scr_task = work1.register_scr_task(scr, deps={gw_nscf_task: "WFK"})\n",
       "\n",
       "    # SIGMA task (requires WFK with empty states and SCR file)\n",
       "    sigma_task = work1.register_sigma_task(sig, deps={gw_nscf_task: "WFK", scr_task: "SCR"})\n",
       "\n",
       "    # Add GW work to flow.\n",
       "    flow.register_work(work1)\n",
       "\n",
       "    return flow\n",
       "
\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from lesson_g0w0 import build_g0w0_flow\n", "abilab.print_source(build_g0w0_flow)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's build the flow:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "flow = build_g0w0_flow()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and visualize the connections with:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "flow\n", "\n", "Flow, node_id=345805, workdir=flow_g0w0\n", "clusterw0\n", "\n", "BandStructureWork (w0)\n", "\n", "clusterw1\n", "\n", "Work (w1)\n", "\n", "\n", "w0_t0\n", "\n", "w0_t0\n", "ScfTask\n", "\n", "\n", "w0_t1\n", "\n", "w0_t1\n", "NscfTask\n", "\n", "\n", "w0_t0->w0_t1\n", "\n", "\n", "DEN\n", "\n", "\n", "w0_t2\n", "\n", "w0_t2\n", "NscfTask\n", "\n", "\n", "w0_t0->w0_t2\n", "\n", "\n", "DEN\n", "\n", "\n", "w1_t0\n", "\n", "w1_t0\n", "NscfTask\n", "\n", "\n", "w0_t0->w1_t0\n", "\n", "\n", "DEN\n", "\n", "\n", "w1_t1\n", "\n", "w1_t1\n", "ScrTask\n", "\n", "\n", "w1_t0->w1_t1\n", "\n", "\n", "WFK\n", "\n", "\n", "w1_t2\n", "\n", "w1_t2\n", "SigmaTask\n", "\n", "\n", "w1_t0->w1_t2\n", "\n", "\n", "WFK\n", "\n", "\n", "w1_t1->w1_t2\n", "\n", "\n", "SCR\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "flow.get_graphviz()" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "#flow.plot_networkx(with_edge_labels=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, we have 2 works:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0] \n", "[1] \n" ] } ], "source": [ "for i, work in enumerate(flow): \n", " print(\"[%d] %s\" % (i, work))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As promised, the first work has 3 standard KS tasks:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "\n" ] } ], "source": [ "for task in flow[0]: \n", " print(task)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "while the second work contains the tasks required for $GW$:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n", "\n" ] } ], "source": [ "for task in flow[1]: \n", " print(task)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/svg+xml": [ "\n", "\n", "\n", "\n", "\n", "\n", "work\n", "\n", "Work, node_id=345810, workdir=flow_g0w0/w1\n", "clusterw1\n", "\n", "Work (w1)\n", "\n", "\n", "w0_t0\n", "\n", "w0_t0\n", "ScfTask\n", "\n", "\n", "w1_t0\n", "\n", "w1_t0\n", "NscfTask\n", "\n", "\n", "w0_t0->w1_t0\n", "\n", "\n", "DEN\n", "\n", "\n", "w1_t1\n", "\n", "w1_t1\n", "ScrTask\n", "\n", "\n", "w1_t0->w1_t1\n", "\n", "\n", "WFK\n", "\n", "\n", "w1_t0->w1_t1\n", "\n", "\n", "WFK\n", "\n", "\n", "w1_t2\n", "\n", "w1_t2\n", "SigmaTask\n", "\n", "\n", "w1_t0->w1_t2\n", "\n", "\n", "WFK\n", "\n", "\n", "w1_t0->w1_t2\n", "\n", "\n", "WFK\n", "\n", "\n", "w1_t1->w1_t2\n", "\n", "\n", "SCR\n", "\n", "\n", "w1_t1->w1_t2\n", "\n", "\n", "SCR\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "flow[1].get_graphviz()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now you can execute the lesson_g0w0.py script to generate the flow and then use:\n", "\n", " abirun.py flow_g0w0 scheduler\n", " \n", "
\n", "Please make sure that AbiPy is properly configured by running abicheck --with flow\n", "
\n", "\n", "Alternatively, one can use the files in the github repository and use AbiPy \n", "to analyze the data." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Analysis of the results\n", "[[back to top](#top)]\n", "\n", "Let's start with the KS results stored in the `GSR.nc` files:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "flow_g0w0/w0/t0/outdata/out_GSR.nc\n", "flow_g0w0/w0/t1/outdata/out_GSR.nc\n", "flow_g0w0/w0/t2/outdata/out_GSR.nc\n", "flow_g0w0/w1/t0/outdata/out_GSR.nc\n" ] } ], "source": [ "!find flow_g0w0 -name \"*_GSR.nc\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You are already an AbiPy guru so it should be clear that to plot the KS band structure with the KS DOS we just need:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ " with abilab.abiopen(\"flow_g0w0/w0/t1/outdata/out_GSR.nc\") as gsr:\n", " ks_ebands_kpath = gsr.ebands\n", " \n", "with abilab.abiopen(\"flow_g0w0/w0/t2/outdata/out_GSR.nc\") as gsr:\n", " ks_ebands_kmesh = gsr.ebands\n", " \n", "ks_edos = ks_ebands_kmesh.get_edos()\n", "ks_ebands_kpath.plot_with_edos(ks_edos);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All is going well so far.\n", "We obtained the KS band structure with the infamous band-gap problem.\n", "Now let's turn our attention to the $GW$ results produced by the `SigmaTask` in the `SIGRES.nc` file:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "flow_g0w0/w1/t2/outdata/out_SIGRES.nc\n" ] } ], "source": [ "!find flow_g0w0 -name \"*_SIGRES.nc\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Open the file with:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "sigres = abilab.abiopen(\"flow_g0w0/w1/t2/outdata/out_SIGRES.nc\") " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and extract a pandas `DataFrame` with the QP results at the $\\Gamma$ point with:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Index(['spin', 'kpoint', 'band', 'e0', 'qpe', 'qpe_diago', 'vxcme', 'sigxme',\n", " 'sigcmee0', 'vUme', 'ze0', 'qpeme0', 'nsppol', 'nspinor', 'nspden',\n", " 'nband', 'nkpt', 'ecutwfn', 'ecuteps', 'ecutsigx', 'scr_nband',\n", " 'sigma_nband', 'gwcalctyp', 'scissor_ene'],\n", " dtype='object')" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qpdata_gamma = sigres.get_dataframe_sk(spin=0, kpoint=(0, 0, 0), ignore_imag=True)\n", "qpdata_gamma.keys()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `DataFrame` contains $GW$ results as well as input parameters useful for convergence studies.\n", "\n", "- *spin*: spin index (C convention, i.e >= 0)\n", "- *band*: band index. (C convention, i.e >= 0).\n", "- *e0*: Initial KS energy.\n", "- *qpe*: Quasiparticle energy (complex) computed with the perturbative approach.\n", "- *qpe_diago*: Quasiparticle energy (real) computed by diagonalizing the self-energy.\n", "- *vxcme*: Matrix element of $v_{\\text{xc}}[n_{\\text{val}}]$ with $n_{\\text{val}}$ the valence charge density.\n", "- *sigxme*: Matrix element of $\\Sigma_x$.\n", "- *sigcmee0*: Matrix element of $\\Sigma_c(e_0)$ with $e_0$ being the KS energy.\n", "- *vUme*: Matrix element of the vU term of the LDA+U Hamiltonian.\n", "- *ze0*: Renormalization factor computed at $e = e_0$.\n", "- *qpeme0*: QP correction i.e. $e_{\\text{QP}} - e_{0}$\n", "\n", "Note that some quantities are complex but since we are not interested in lifetimes (that by the way are not correctly described by the plasmon-pole approximation), we ignored the imaginary part with `ignore_imag`.\n", "\n", "Let's print a subset of columns with:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/html": [ "
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e0qpevxcmesigxmesigcmee0ze0qpeme0
0-6.232-5.693-10.362-17.4287.9250.6290.540
15.6336.264-11.160-13.1172.7550.7900.631
25.6336.264-11.160-13.1172.7550.7900.631
35.6336.264-11.160-13.1172.7550.7900.631
48.1489.444-9.967-5.517-2.8170.7931.296
58.1489.444-9.967-5.517-2.8170.7931.296
68.1489.444-9.967-5.517-2.8170.7931.296
78.5269.980-10.766-5.897-3.0370.7931.454
\n", "
" ], "text/plain": [ " e0 qpe vxcme sigxme sigcmee0 ze0 qpeme0\n", "0 -6.232 -5.693 -10.362 -17.428 7.925 0.629 0.540\n", "1 5.633 6.264 -11.160 -13.117 2.755 0.790 0.631\n", "2 5.633 6.264 -11.160 -13.117 2.755 0.790 0.631\n", "3 5.633 6.264 -11.160 -13.117 2.755 0.790 0.631\n", "4 8.148 9.444 -9.967 -5.517 -2.817 0.793 1.296\n", "5 8.148 9.444 -9.967 -5.517 -2.817 0.793 1.296\n", "6 8.148 9.444 -9.967 -5.517 -2.817 0.793 1.296\n", "7 8.526 9.980 -10.766 -5.897 -3.037 0.793 1.454" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "qpdata_gamma[['e0', 'qpe', 'vxcme', 'sigxme', 'sigcmee0', 'ze0', 'qpeme0']].round(decimals=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To plot the QP data as function of the initial KS energy, use:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "KS Fermi energy at: 5.958515778044983 eV\n" ] } ], "source": [ "sigres.plot_qps_vs_e0();\n", "print(\"KS Fermi energy at:\", sigres.ebands.fermie, \"eV\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This figure gives us the opportunity to discuss several important points.\n", "\n", "First of all the QP correction (`qpeme0`) are rather smooth so one can try to interpolate the data \n", "with some kind of interpolation algorithm. \n", "\n", "Note how valence and conduction states are affected in a different way by the self-energy.\n", "As expected, the matrix elements of the exchange part `sigxme` \n", "(a.k.a Fock operator in Hartree-Fock theory) are always negative but they also show a \"jump\" across the Fermi level.\n", "A similar jump is observed in the matrix elements of the correlation part `sigcmee0`.\n", "These jumps are responsibile for the \"opening\" of the gap induced by $GW$.\n", "\n", "The values of the renormalization factor `ze0` are relatively close to one thus indicating \n", "that we have well-defined QP excitations.\n", "Note how `ze0` increases when we approach the Fermi level." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we are usually interested in the value of the QP direct gaps, let's plot them with:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigres.plot_qpgaps();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also visualize the difference between the QP and the KS values with: " ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigres.plot_qpgaps(plot_qpmks=True);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, $G_0W_0$ leads to a systematic opening of the KS gaps although \n", "we should keep in mind that these results are far from being converged. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sigres.plot_ksbands_with_qpmarkers();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Interpolating the QP corrections\n", "[[back to top](#top)]\n", "\n", "Excellent, we've just completed our first $GW$ calculation with Abinit and Abipy but there's still \n", "a problem that must be addressed!\n", "\n", "We can only compute QP energies for k-points belonging to the k-mesh of the input WFK file while\n", "we usually discuss electronic properties in terms of band energies along a high-symmetry k-path.\n", "Obviously one could perform several different $GW$ calculations with \"shifted\" WFK files to collect \n", "the QP energies along the k-path but this is not the most efficient approach.\n", "Can't we just use some kind of interpolation technique to get nice-looking QP band structures?\n", "\n", "The answer is yes but remember to always **cross-check** the interpolated results.\n", "Several different approaches to interpolate QP results have been proposed in the literature.\n", "Here we use the Fourier interpolation scheme proposed by Shankland-Koelling-Wood (SKW) in PRB 38 2721.\n", "The idea is relatively simple: the QP corrections have the same symmetry of the KS energies, we can thus\n", "interpolate the QP corrections with SKW and then apply the interpolated corrections to the ab-initio KS energies\n", "obtained along a path.\n", "\n", "It's just a matter of passing the KS band structure to the `sigres.interpolate` method to activate this procedure: " ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using: 30 star-functions. nstars/nk: 5.0\n", "\u001b[32mFIT vs input data: Mean Absolute Error= 2.839e-13 (meV)\u001b[0m\n" ] } ], "source": [ "r = sigres.interpolate(lpratio=5, ks_ebands_kpath=ks_ebands_kpath)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The interpolated QP band structure is available in `r.qp_ebands_kpath` and we can plot the interpolated data with:" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "r.qp_ebands_kpath.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The results make sense but it would be nice if one could compare the (interpolated) QP bands with the KS energies.\n", "Fortunately, we can use the AbiPy `ElectronBandsPlotter` to compare multiple band structures:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p = abilab.ElectronBandsPlotter()\n", "p.add_ebands(\"LDA\", ks_ebands_kpath)\n", "p.add_ebands(\"GW (interpolated)\", r.qp_ebands_kpath)\n", "p.combiplot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Do you need to compare the band dispersion given by KS and $GW$?" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# By default, the two band energies are shifted with respect to *their* fermi level.\n", "# Use e=0 if you do not want to shift the eigenvalues\n", "# so that it is possible to visualize the QP corrections.\n", "p.combiboxplot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The same approach can be used to interpolate QP band structures and QP DOSes.\n", "We only need to pass an additional KS band structure with energies in the IBZ:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Using: 30 star-functions. nstars/nk: 5.0\n", "\u001b[32mFIT vs input data: Mean Absolute Error= 2.839e-13 (meV)\u001b[0m\n" ] } ], "source": [ "r2 = sigres.interpolate(lpratio=5, ks_ebands_kpath=ks_ebands_kpath, ks_ebands_kmesh=ks_ebands_kmesh)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "and then compute the QP DOS with:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "qp_edos = r2.qp_ebands_kmesh.get_edos()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Did I tell you that `ElectronBandsPlotter` accepts DOSes as well?" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "p2 = abilab.ElectronBandsPlotter()\n", "p2.add_ebands(\"LDA\", ks_ebands_kpath, edos=ks_edos)\n", "p2.add_ebands(\"GW (interpolated)\", r.qp_ebands_kpath, edos=qp_edos)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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