{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# useful to autoreload the module without restarting the kernel\n", "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "from mppi import InputFiles as I, Calculators as C, Utilities as U\n", "from mppi.Calculators import Tools\n", "import matplotlib.pyplot as plt\n", "import os\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "omp = 1\n", "mpi = 4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Analysis of the band structure with QuantumESPRESSO" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We compute the band structure of Silicon and Gallium arsenide and graphene using the tools of the \n", "QuantumESPRESSO and Yambo packages." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "run_dir = 'Pw_bands'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Band structure of GaAs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first step consists in a scf computation " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "scf_prefix = 'gaas_scf'\n", "nscf_prefix = 'gaas_nscf'\n", "bands_prefix = 'gaas_bands'" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "inp = I.PwInput(file='IO_files/gaas_scf.in')\n", "inp.set_prefix(scf_prefix)\n", "inp.set_energy_cutoff(60)\n", "inp.set_kpoints(points=[6,6,6])\n", "#inp" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initialize a QuantumESPRESSO calculator with scheduler direct\n" ] }, { "data": { "text/plain": [ "{'scheduler': 'direct',\n", " 'mpi': 4,\n", " 'omp_num_threads': 1,\n", " 'executable': 'pw.x',\n", " 'skip': True,\n", " 'clean_restart': True,\n", " 'dry_run': False,\n", " 'wait_end_run': True,\n", " 'activate_BeeOND': False,\n", " 'verbose': True}" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rr = C.RunRules(mpi=mpi,omp_num_threads=omp)\n", "code = C.QeCalculator(rr)\n", "code.global_options()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Skip the run of gaas_scf\n" ] }, { "data": { "text/plain": [ "'/home/marco/Applications/MPPI/sphinx_source/tutorials/Pw_bands/gaas_scf.save/data-file-schema.xml'" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "code.run(input=inp,run_dir=run_dir,name=scf_prefix)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before performing the bands computation we make an nscf computation on a regular kpath, this will be useful as input\n", "for other tutorials of the package." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "inp.set_nscf(8,force_symmorphic=True) #use force_symmorphic = True since this computation is used as input of a Yambo computation later\n", "inp.set_prefix(nscf_prefix)\n", "inp.set_kpoints(points=[8,8,8])\n", "#inp" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Skip the run of gaas_nscf\n", "The folder /home/marco/Applications/MPPI/sphinx_source/tutorials/Pw_bands/gaas_nscf.save already exists. Source_dir Pw_bands/gaas_scf.save not copied\n" ] }, { "data": { "text/plain": [ "'/home/marco/Applications/MPPI/sphinx_source/tutorials/Pw_bands/gaas_nscf.save/data-file-schema.xml'" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "code.run(input=inp,run_dir=run_dir,name=nscf_prefix,source_dir=os.path.join(run_dir,scf_prefix)+'.save')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we perform the bands computation specifying the kpoints on a path. \n", "\n", "To define the path we write the coordinates of the high symmetry points (using the tpiba_b type of\n", "pw) and we make usage of the function build_kpath" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "G = [0.,0.,0.]\n", "X = [0.,0.,1.]\n", "L = [0.5,0.5,0.5]\n", "W = [1.0,0.5,0.]\n", "K = [0.,1.,1.]\n", "\n", "# useful to label the high-sym point on the path\n", "high_sym = {'X':X,'L':L,'G':G,'K':K,'W':W} " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The high symmetry points for some lattice structure are also written in the Constants module of the Utilities, for instance" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'G': [0.0, 0.0, 0.0],\n", " 'X': [0.0, 0.0, 1.0],\n", " 'L': [0.5, 0.5, 0.5],\n", " 'K': [0.0, 1.0, 1.0],\n", " 'W': [1.0, 0.5, 0.0]}" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "U.Constants.high_sym_fcc" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[[0.5, 0.5, 0.5, 30],\n", " [0.0, 0.0, 0.0, 30],\n", " [0.0, 0.0, 1.0, 30],\n", " [0.0, 1.0, 1.0, 30],\n", " [0.0, 0.0, 0.0, 0]]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "klist = C.Tools.build_pw_kpath(L,G,X,K,G,numstep=30)\n", "klist" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "inp.set_bands(8)\n", "inp.set_prefix(bands_prefix)\n", "inp.set_kpoints(type='tpiba_b',klist=klist)\n", "#inp" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Skip the run of gaas_bands\n", "The folder /home/marco/Applications/MPPI/sphinx_source/tutorials/Pw_bands/gaas_bands.save already exists. Source_dir Pw_bands/gaas_scf.save not copied\n" ] }, { "data": { "text/plain": [ "'/home/marco/Applications/MPPI/sphinx_source/tutorials/Pw_bands/gaas_bands.save/data-file-schema.xml'" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "results_gaas = code.run(input=inp,run_dir=run_dir,name=bands_prefix,source_dir=os.path.join(run_dir,scf_prefix)+'.save')\n", "results_gaas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once that the computation is over we can create an instance of BandStructure. The gap can be set when we init the class" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'/home/marco/Applications/MPPI/sphinx_source/tutorials/Pw_bands/gaas_bands.save/data-file-schema.xml'" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "results_gaas" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Apply a scissor of 1.1944603644894034 eV\n" ] } ], "source": [ "bands_gaas = U.BandStructure.from_Pw(results_gaas,high_sym,set_gap=1.42) #," ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The class contains some methods that return the bands, the kpath or the position of the high symmetry points on the path" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It contains also a plot method that show the band structure" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "plt.title('GaAs bands')\n", "plt.ylim(-8,5)\n", "bands_gaas.plot(plt,selection=[1,2,3,4,5])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this case the class build the value of curvilinear abscissa along the paht from the \n", "distance among the kpoints on which the QE calculation is performed." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([0. , 0.02886751, 0.05773503, 0.08660254, 0.11547005,\n", " 0.14433757, 0.17320508, 0.20207259, 0.23094011, 0.25980762,\n", " 0.28867513, 0.31754265, 0.34641016, 0.37527767, 0.40414519,\n", " 0.4330127 , 0.46188022, 0.49074773, 0.51961524, 0.54848276,\n", " 0.57735027, 0.60621778, 0.6350853 , 0.66395281, 0.69282032,\n", " 0.72168784, 0.75055535, 0.77942286, 0.80829038, 0.83715789,\n", " 0.8660254 , 0.89935874, 0.93269207, 0.9660254 , 0.99935874,\n", " 1.03269207, 1.0660254 , 1.09935874, 1.13269207, 1.1660254 ,\n", " 1.19935874, 1.23269207, 1.2660254 , 1.29935874, 1.33269207,\n", " 1.3660254 , 1.39935874, 1.43269207, 1.4660254 , 1.49935874,\n", " 1.53269207, 1.5660254 , 1.59935874, 1.63269207, 1.6660254 ,\n", " 1.69935874, 1.73269207, 1.7660254 , 1.79935874, 1.83269207,\n", " 1.8660254 , 1.89935874, 1.93269207, 1.9660254 , 1.99935874,\n", " 2.03269207, 2.0660254 , 2.09935874, 2.13269207, 2.1660254 ,\n", " 2.19935874, 2.23269207, 2.2660254 , 2.29935874, 2.33269207,\n", " 2.3660254 , 2.39935874, 2.43269207, 2.4660254 , 2.49935874,\n", " 2.53269207, 2.5660254 , 2.59935874, 2.63269207, 2.6660254 ,\n", " 2.69935874, 2.73269207, 2.7660254 , 2.79935874, 2.83269207,\n", " 2.8660254 , 2.91316586, 2.96030631, 3.00744676, 3.05458721,\n", " 3.10172766, 3.14886812, 3.19600857, 3.24314902, 3.29028947,\n", " 3.33742992, 3.38457038, 3.43171083, 3.47885128, 3.52599173,\n", " 3.57313218, 3.62027264, 3.66741309, 3.71455354, 3.76169399,\n", " 3.80883445, 3.8559749 , 3.90311535, 3.9502558 , 3.99739625,\n", " 4.04453671, 4.09167716, 4.13881761, 4.18595806, 4.23309851,\n", " 4.28023897])" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bands_gaas.get_kpath()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Band structure of GaAs with spin-orbit coupling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We repeat the computation of the band structure of GaAs including the spin-orbit. To do so we use a full relativistic pseudopotential\n", "that is able to include the spin-orbit. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first step consists in a scf computation " ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "scf_prefix = 'gaas_scf_so'\n", "nscf_prefix = 'gaas_nscf_so'\n", "bands_prefix = 'gaas_bands_so'" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'control': {'calculation': \"'scf'\",\n", " 'verbosity': \"'high'\",\n", " 'prefix': \"'gaas_scf_so'\",\n", " 'outdir': \"'./'\",\n", " 'pseudo_dir': \"'../pseudos'\"},\n", " 'system': {'force_symmorphic': '.false.',\n", " 'occupations': \"'fixed'\",\n", " 'ibrav': 2,\n", " 'celldm(1)': 10.677,\n", " 'ntyp': 2,\n", " 'nat': 2,\n", " 'ecutwfc': 80,\n", " 'lspinorb': '.true.',\n", " 'noncolin': '.true.'},\n", " 'electrons': {'diago_full_acc': '.false.', 'conv_thr': 1e-08},\n", " 'ions': {},\n", " 'cell': {},\n", " 'atomic_species': {'Ga': ['1.0', 'Ga_rel.pz-rrkj3.UPF'],\n", " 'As': ['1.0', 'As_rel.pz-rrkj3.UPF']},\n", " 'atomic_positions': {'type': 'alat',\n", " 'values': [['Ga', [0.0, 0.0, 0.0]], ['As', [0.25, 0.25, 0.25]]]},\n", " 'kpoints': {'type': 'automatic',\n", " 'values': ([6.0, 6.0, 6.0], [0.0, 0.0, 0.0])},\n", " 'cell_parameters': {},\n", " 'file': 'IO_files/gaas_scf.in'}" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "inp = I.PwInput('IO_files/gaas_scf.in')\n", "inp.set_prefix(scf_prefix)\n", "inp.set_energy_cutoff(80)\n", "inp.set_spinorbit()\n", "inp.set_kpoints(points = [6.,6.,6.])\n", "inp.add_atom('Ga','Ga_rel.pz-rrkj3.UPF')\n", "inp.add_atom('As','As_rel.pz-rrkj3.UPF')\n", "inp" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initialize a QuantumESPRESSO calculator with scheduler direct\n" ] } ], "source": [ "rr = C.RunRules(mpi=mpi,omp_num_threads=omp)\n", "code = C.QeCalculator(rr)" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Skip the run of gaas_scf_so\n" ] }, { "data": { "text/plain": [ "'/home/marco/Applications/MPPI/sphinx_source/tutorials/Pw_bands/gaas_scf_so.save/data-file-schema.xml'" ] }, "execution_count": 45, "metadata": {}, "output_type": "execute_result" } ], "source": [ "code.run(input=inp,run_dir=run_dir,name=scf_prefix)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before performing the bands computation we make an nscf computation on a regular kpath, this will be useful for the bands analysis \n", "using the ypp tools. \n", "\n", "We compute 12 bands since in this case the spin degeneracy is equal to 1 and there 8 occupied bands" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "inp.set_nscf(12,force_symmorphic=True) #use force_symmorphic = True since this computation is used as input of a Yambo computation later\n", "inp.set_prefix(nscf_prefix)\n", "#inp" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Skip the run of gaas_nscf_so\n", "The folder /home/marco/Applications/MPPI/sphinx_source/tutorials/Pw_bands/gaas_nscf_so.save already exists. Source_dir Pw_bands/gaas_scf_so.save not copied\n" ] }, { "data": { "text/plain": [ "'/home/marco/Applications/MPPI/sphinx_source/tutorials/Pw_bands/gaas_nscf_so.save/data-file-schema.xml'" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "code.run(input=inp,run_dir=run_dir,name=nscf_prefix,source_dir=os.path.join(run_dir,scf_prefix)+'.save')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we perform the bands computation specifying the kpoints on a path. \n", "\n", "To define the path we write the coordinates of the high symmetry points (using the tpiba_b type of\n", "pw) and we make usage of the function build_kpath" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "hsp = U.Constants.high_sym_fcc" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[[0.5, 0.5, 0.5, 20],\n", " [0.0, 0.0, 0.0, 20],\n", " [0.0, 0.0, 1.0, 20],\n", " [0.0, 1.0, 1.0, 20],\n", " [0.0, 0.0, 0.0, 0]]" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "klist = C.Tools.build_pw_kpath(hsp['L'],hsp['G'],hsp['X'],hsp['K'],hsp['G'],numstep=20)\n", "klist" ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\u001b[0;31mSignature:\u001b[0m\n", "\u001b[0minp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mset_bands\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mnbnd\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mconv_thr\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;36m1e-08\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mdiago_full_acc\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mforce_symmorphic\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mverbosity\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'high'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mDocstring:\u001b[0m\n", "Set the variables for a bands calculation\n", "\n", "Args:\n", " nbnd (:py:class:`int`) : number of bands\n", " conv_thr (:py:class:`float`) : the convergence threshold value\n", " diago_full_acc (:py:class:`bool`)\n", " force_symmorphic (:py:class:`bool`)\n", " verbosity (:py:class:`bool`)\n", "\u001b[0;31mFile:\u001b[0m ~/Applications/MPPI/mppi/InputFiles/PwInput.py\n", "\u001b[0;31mType:\u001b[0m method\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "inp.set_bands?" ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'control': {'calculation': \"'bands'\",\n", " 'verbosity': \"'high'\",\n", " 'prefix': \"'gaas_bands_so'\",\n", " 'outdir': \"'./'\",\n", " 'pseudo_dir': \"'../pseudos'\"},\n", " 'system': {'force_symmorphic': '.true.',\n", " 'occupations': \"'fixed'\",\n", " 'ibrav': 2,\n", " 'celldm(1)': 10.677,\n", " 'ntyp': 2,\n", " 'nat': 2,\n", " 'ecutwfc': 80,\n", " 'lspinorb': '.true.',\n", " 'noncolin': '.true.',\n", " 'nbnd': 12},\n", " 'electrons': {'diago_full_acc': '.false.', 'conv_thr': 1e-06},\n", " 'ions': {},\n", " 'cell': {},\n", " 'atomic_species': {'Ga': ['1.0', 'Ga_rel.pz-rrkj3.UPF'],\n", " 'As': ['1.0', 'As_rel.pz-rrkj3.UPF']},\n", " 'atomic_positions': {'type': 'alat',\n", " 'values': [['Ga', [0.0, 0.0, 0.0]], ['As', [0.25, 0.25, 0.25]]]},\n", " 'kpoints': {'type': 'tpiba_b',\n", " 'values': [[0.5, 0.5, 0.5, 20],\n", " [0.0, 0.0, 0.0, 20],\n", " [0.0, 0.0, 1.0, 20],\n", " [0.0, 1.0, 1.0, 20],\n", " [0.0, 0.0, 0.0, 0]]},\n", " 'cell_parameters': {},\n", " 'file': 'IO_files/gaas_scf.in'}" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "inp.set_bands(12,conv_thr=1e-6,force_symmorphic=True)\n", "inp.set_prefix(bands_prefix)\n", "inp.set_kpoints(type='tpiba_b',klist=klist)\n", "inp" ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "delete log file: Pw_bands/gaas_bands_so.log\n", "delete folder: /home/marco/Applications/MPPI/sphinx_source/tutorials/Pw_bands/gaas_bands_so.save\n", "copy source_dir Pw_bands/gaas_scf_so.save in the /home/marco/Applications/MPPI/sphinx_source/tutorials/Pw_bands/gaas_bands_so.save\n", "run command: mpirun -np 4 pw.x -inp gaas_bands_so.in > gaas_bands_so.log\n", "computation gaas_bands_so is running...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "computation gaas_bands_so ended\n" ] } ], "source": [ "results_gaas_so = code.run(input=inp,run_dir=run_dir,name=bands_prefix,source_dir=os.path.join(run_dir,scf_prefix)+'.save')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once that the computation is over we can create an instance of BandStructure" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Apply a scissor of 1.0018908645131264 eV\n" ] } ], "source": [ "bands_gaas_so = U.BandStructure.from_Pw(results_gaas_so,hsp,set_gap=1.42)" ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "plt.title('GaAs bands with spin-orbit')\n", "plt.ylim(-8,4)\n", "bands_gaas_so.plot(plt,selection=[2,3,4,5,6,7,8,9,10,11])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that in this case we need to display twice the bands respect to the previous example since each band accomodate only one electron in\n", "a specific spin state. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Band structure of Silicon" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first step consists in a scf computation " ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [], "source": [ "scf_prefix = 'si_scf'\n", "bands_prefix = 'si_bands'" ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": [ "inp = I.PwInput(file='IO_files/si_scf.in')\n", "inp.set_prefix(scf_prefix)\n", "inp.set_energy_cutoff(60)\n", "inp.set_kpoints(points=[6,6,6])\n", "#inp" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initialize a QuantumESPRESSO calculator with scheduler direct\n" ] }, { "data": { "text/plain": [ "{'scheduler': 'direct',\n", " 'mpi': 4,\n", " 'omp_num_threads': 1,\n", " 'executable': 'pw.x',\n", " 'skip': True,\n", " 'clean_restart': True,\n", " 'dry_run': False,\n", " 'wait_end_run': True,\n", " 'activate_BeeOND': False,\n", " 'verbose': True}" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rr = C.RunRules(mpi=mpi,omp_num_threads=omp)\n", "code = C.QeCalculator(rr)\n", "code.global_options()" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "run command: mpirun -np 4 pw.x -inp si_scf.in > si_scf.log\n", "computation si_scf is running...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "computation si_scf ended\n" ] }, { "data": { "text/plain": [ "'/home/marco/Applications/MPPI/sphinx_source/tutorials/Pw_bands/si_scf.save/data-file-schema.xml'" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "code.run(input=inp,run_dir=run_dir,name=scf_prefix)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we perform the bands computation specifying the kpoints on a path. \n", "\n", "To define the path we write the coordinates of the high symmetry points (using the tpiba_b type of\n", "pw) and we make usage of the function build_kpath" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [], "source": [ "hsp = U.Constants.high_sym_fcc" ] }, { "cell_type": "code", "execution_count": 72, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[[0.5, 0.5, 0.5, 20],\n", " [0.0, 0.0, 0.0, 20],\n", " [0.0, 0.0, 1.0, 20],\n", " [0.0, 1.0, 1.0, 20],\n", " [0.0, 0.0, 0.0, 0]]" ] }, "execution_count": 72, "metadata": {}, "output_type": "execute_result" } ], "source": [ "klist = C.Tools.build_pw_kpath(hsp['L'],hsp['G'],hsp['X'],hsp['K'],hsp['G'],numstep=20)\n", "klist" ] }, { "cell_type": "code", "execution_count": 73, "metadata": {}, "outputs": [], "source": [ "inp.set_bands(8)\n", "inp.set_prefix(bands_prefix)\n", "inp.set_kpoints(type='tpiba_b',klist=klist)\n", "#inp" ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "copy source_dir Pw_bands/si_scf.save in the /home/marco/Applications/MPPI/sphinx_source/tutorials/Pw_bands/si_bands.save\n", "run command: mpirun -np 4 pw.x -inp si_bands.in > si_bands.log\n", "computation si_bands is running...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "computation si_bands ended\n" ] } ], "source": [ "results_si = code.run(input=inp,run_dir=run_dir,name=bands_prefix,source_dir=os.path.join(run_dir,scf_prefix)+'.save')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once that the computation is over we can create an instance of PwBands" ] }, { "cell_type": "code", "execution_count": 77, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Apply a scissor of 0.6041599954868155 eV\n" ] } ], "source": [ "bands_si = U.BandStructure.from_Pw(results_si,hsp,set_gap=1.2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It contains also a plot method that show the band structure" ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "plt.title('Si bands')\n", "plt.ylim(-5,4)\n", "bands_si.plot(plt,selection=[1,2,3,4])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Band structure of Graphene" ] }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [], "source": [ "scf_prefix = 'graphene_scf'\n", "nscf_prefix = 'graphene_nscf'\n", "bands_prefix = 'graphene_bands'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The lattice is oriented with the zig-zag along the y axis. The basis vector are chosen as:\n", "\n", "$$\n", "a_1 = \\frac{a}{2}(3,\\sqrt{3},0) \\, ,\\quad a_2 = \\frac{a}{2}(3,-\\sqrt{3},0) \\, ,\\quad\n", "a_3 = (0,0,\\delta_z)\n", "$$\n", "\n", "Here $a$ represents the CC nn distance. The position of the atoms in the lattice is given by:\n", "\n", "$$\n", "A = (0,0,0) \\, \\qquad B = \\frac{a}{2}(1,\\sqrt{3},0)\n", "$$\n", "\n", "The lattice constant is given by $a_{lat} = \\sqrt{3}a$.\n", "\n", "The position of the high symmetry points of the reciprocal lattice (in units of $2\\pi/a_{alat}$) are given by:\n", "\n", "$$\n", "M = (\\frac{1}{\\sqrt{3}},0) \\, \\quad\n", "K = (\\frac{1}{\\sqrt{3}},\\frac{1}{3}) \n", "$$" ] }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [], "source": [ "pseudo_pbe = 'C_pbe-20082014.UPF' #pbe\n", "delta = 15 # Angstrom\n", "a0 = 1.42495 # PBE cc equilibrium distance among nearest C atoms\n", "engCutoff = 60 # Ry\n", "numKpoints = 12\n", "\n", "import numpy as np\n", "a1 = [a0/2.*3.,a0/2.*np.sqrt(3.),0.]\n", "a2 = [a0/2.*3.,-a0/2.*np.sqrt(3.),0.]\n", "a3 = [0.,0.,delta]\n", "A = [0.,0.,0.]\n", "B = [a0/2.,a0/2.*np.sqrt(3.),0.]" ] }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'control': {'calculation': \"'scf'\",\n", " 'verbosity': \"'high'\",\n", " 'prefix': \"'graphene_scf'\",\n", " 'outdir': \"'./'\",\n", " 'pseudo_dir': \"'../pseudos'\"},\n", " 'system': {'force_symmorphic': '.false.',\n", " 'ntyp': '1',\n", " 'nat': '2',\n", " 'ecutwfc': 60,\n", " 'ibrav': 0,\n", " 'occupations': \"'smearing'\",\n", " 'smearing': \"'fermi-dirac'\",\n", " 'degauss': 0.00367493225078649},\n", " 'electrons': {'diago_full_acc': '.false.', 'conv_thr': 1e-08},\n", " 'ions': {},\n", " 'cell': {},\n", " 'atomic_species': {'C': [12.011, 'C_pbe-20082014.UPF']},\n", " 'atomic_positions': {'type': 'angstrom',\n", " 'values': [['C', [0.0, 0.0, 0.0]],\n", " ['C', [0.712475, 1.2340428991226358, 0.0]]]},\n", " 'kpoints': {'type': 'automatic', 'values': ([12, 12, 1], [0.0, 0.0, 0.0])},\n", " 'cell_parameters': {'type': 'angstrom',\n", " 'values': [[2.137425, 1.2340428991226358, 0.0],\n", " [2.137425, -1.2340428991226358, 0.0],\n", " [0.0, 0.0, 15]]}}" ] }, "execution_count": 87, "metadata": {}, "output_type": "execute_result" } ], "source": [ "inp = I.PwInput()\n", "inp.set_scf()\n", "inp.set_prefix(scf_prefix)\n", "inp.set_pseudo_dir('../pseudos')\n", "inp.add_atom(atom='C',pseudo_name=pseudo_pbe,mass=12.011)\n", "inp.set_atoms_number(2)\n", "inp.set_energy_cutoff(engCutoff)\n", "inp.set_atomic_positions([['C',A],['C',B]],type='angstrom')\n", "inp.set_lattice(ibrav=0,cell_vectors=[a1,a2,a3],cell_units='angstrom')\n", "inp.set_occupations(occupations='smearing',degauss=50.)\n", "inp.set_kpoints(points = [numKpoints,numKpoints,1])\n", "inp" ] }, { "cell_type": "code", "execution_count": 88, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initialize a QuantumESPRESSO calculator with scheduler direct\n" ] } ], "source": [ "rr = C.RunRules(mpi=mpi,omp_num_threads=omp)\n", "code = C.QeCalculator(rr)\n", "#code.global_options()" ] }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "delete log file: Pw_bands/graphene_scf.log\n", "run command: mpirun -np 4 pw.x -inp graphene_scf.in > graphene_scf.log\n", "computation graphene_scf is running...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "computation graphene_scf ended\n" ] }, { "data": { "text/plain": [ "'/home/marco/Applications/MPPI/sphinx_source/tutorials/Pw_bands/graphene_scf.save/data-file-schema.xml'" ] }, "execution_count": 89, "metadata": {}, "output_type": "execute_result" } ], "source": [ "code.run(input=inp,run_dir=run_dir,name=scf_prefix)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We perfrom also a nscf computation on a regular grid of kpoint. Results of this computation are used by the\n", "other tutorials of the package" ] }, { "cell_type": "code", "execution_count": 91, "metadata": {}, "outputs": [], "source": [ "inp.set_nscf(8)\n", "inp.set_prefix(nscf_prefix)\n", "#inp" ] }, { "cell_type": "code", "execution_count": 93, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "copy source_dir Pw_bands/graphene_scf.save in the /home/marco/Applications/MPPI/sphinx_source/tutorials/Pw_bands/graphene_nscf.save\n", "run command: mpirun -np 4 pw.x -inp graphene_nscf.in > graphene_nscf.log\n", "computation graphene_nscf is running...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "computation graphene_nscf ended\n" ] }, { "data": { "text/plain": [ "'/home/marco/Applications/MPPI/sphinx_source/tutorials/Pw_bands/graphene_nscf.save/data-file-schema.xml'" ] }, "execution_count": 93, "metadata": {}, "output_type": "execute_result" } ], "source": [ "code.run(input=inp,run_dir=run_dir,name=nscf_prefix,source_dir=os.path.join(run_dir,scf_prefix)+'.save')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we perform the bands computation specifying the kpoints on a path. \n", "\n", "To define the path we write the coordinates of the high symmetry points (using the tpiba_b type of\n", "pw) and we make usage of the function build_kpath" ] }, { "cell_type": "code", "execution_count": 94, "metadata": {}, "outputs": [], "source": [ "G = [0.,0.,0.]\n", "M = [1./np.sqrt(3.),0.,0.]\n", "K = [1./np.sqrt(3.),1./3.,0.]\n", "\n", "# useful to label the high-sym point on the path\n", "high_sym = {'G':G,'K':K,'M':M}" ] }, { "cell_type": "code", "execution_count": 96, "metadata": {}, "outputs": [], "source": [ "klist = C.Tools.build_pw_kpath(G,M,K,G,numstep=30)\n", "#klist" ] }, { "cell_type": "code", "execution_count": 97, "metadata": {}, "outputs": [], "source": [ "inp.set_bands(8)\n", "inp.set_prefix(bands_prefix)\n", "inp.set_kpoints(type='tpiba_b',klist=klist)\n", "#inp" ] }, { "cell_type": "code", "execution_count": 98, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "copy source_dir Pw_bands/graphene_scf.save in the /home/marco/Applications/MPPI/sphinx_source/tutorials/Pw_bands/graphene_bands.save\n", "run command: mpirun -np 4 pw.x -inp graphene_bands.in > graphene_bands.log\n", "computation graphene_bands is running...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n", "Note: The following floating-point exceptions are signalling: IEEE_DENORMAL\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "computation graphene_bands ended\n" ] } ], "source": [ "results_gra = code.run(input=inp,run_dir=run_dir,name=bands_prefix,source_dir=os.path.join(run_dir,scf_prefix)+'.save')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once that the computation is over we can create an instance of PwBands" ] }, { "cell_type": "code", "execution_count": 99, "metadata": {}, "outputs": [], "source": [ "bands_gra = U.BandStructure.from_Pw(results_gra,high_sym)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It contains also a plot method that show the band structure" ] }, { "cell_type": "code", "execution_count": 100, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(['$\\\\Gamma$', '$\\\\Gamma$', 'K', 'M'],\n", " [0.0, 1.5773502657018026, 0.9106835999999987, 0.57735027])" ] }, "execution_count": 100, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bands_gra.get_high_sym_positions()" ] }, { "cell_type": "code", "execution_count": 101, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "plt.title('Graphene bands',size=14)\n", "#plt.ylim(-6,8)\n", "bands_gra.plot(plt) #,selection=[0,1,2,3,4,5,6,7]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Analysis of the band structure with ypp" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "run_dir = 'Ypp_bands'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we analyze the band structure using the post processing tools of ypp. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Band structure of GaAs with spin-orbit coupling" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As an example we consider the GaAs band structure with spin-orbit coupling. \n", "\n", "We perform a ypp -s b computation starting from the .save of an nscf pw computation on a regular grid" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SAVE folder Pw_bands/gaas_bands_so.save/SAVE already present. No operations performed.\n" ] }, { "data": { "text/plain": [ "'Pw_bands/gaas_bands_so.save/SAVE'" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "source_dir = C.Tools.make_p2y('Pw_bands/gaas_bands_so.save')\n", "source_dir" ] }, { "cell_type": "code", "execution_count": 107, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Create folder path Ypp_bands\n", "Create a symlink of Pw_bands/gaas_bands_so.save/SAVE in Ypp_bands\n", "Build the r_setup in the run_dir path Ypp_bands\n" ] } ], "source": [ "C.Tools.init_yambo_run_dir(source_dir,run_dir)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Initialize a Yambo calculator with scheduler direct\n" ] }, { "data": { "text/plain": [ "{'scheduler': 'direct',\n", " 'mpi': 4,\n", " 'omp_num_threads': 1,\n", " 'executable': 'ypp',\n", " 'skip': True,\n", " 'clean_restart': True,\n", " 'dry_run': False,\n", " 'wait_end_run': True,\n", " 'activate_BeeOND': False,\n", " 'verbose': True,\n", " 'fatlog': False}" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rr = C.RunRules(mpi=mpi,omp_num_threads=1)\n", "code = C.YamboCalculator(rr,executable='ypp')\n", "code.global_options()" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'args': 'ypp -s b -V qp',\n", " 'folder': 'Ypp_bands',\n", " 'filename': 'ypp.in',\n", " 'arguments': [],\n", " 'variables': {'INTERP_Shell_Fac': [20.0, ''],\n", " 'INTERP_NofNN': [1.0, ''],\n", " 'OutputAlat': [0.0, ''],\n", " 'BANDS_steps': [10.0, ''],\n", " 'GfnQP_INTERP_NN': [1.0, ''],\n", " 'GfnQP_INTERP_shells': [20.0, ''],\n", " 'GfnQP_Wv_E': [0.0, 'eV'],\n", " 'GfnQP_Wv_dos': [0.0, 'eV'],\n", " 'GfnQP_Wc_E': [0.0, 'eV'],\n", " 'GfnQP_Wc_dos': [0.0, 'eV'],\n", " 'PROJECT_mode': 'none',\n", " 'INTERP_mode': 'NN',\n", " 'cooIn': 'rlu',\n", " 'cooOut': 'rlu',\n", " 'CIRCUIT_E_DB_path': 'none',\n", " 'GfnQPdb': 'none',\n", " 'GfnQP_DbGd_INTERP_mode': 'NN',\n", " 'GfnQP_Z': [(1+0j), ''],\n", " 'BANDS_bands': [[1, 12], ''],\n", " 'GfnQP_E': [[0.0, 1.0, 1.0], ''],\n", " 'GfnQP_Wv': [[0.0, 0.0, 0.0], ''],\n", " 'GfnQP_Wc': [[0.0, 0.0, 0.0], '']}}" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "inp = I.YamboInput(args='ypp -s b -V qp',folder=run_dir,filename='ypp.in') \n", "inp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set the input parameter to perform the band computation along a path" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [], "source": [ "# set the coordinate of the high-sym points (use crystal coordinates) to be consistent with th\n", "# rlu choice in the cooIn and cooOut variables in the ypp input\n", "G = [0.,0.,0.]\n", "X = [0.,0.5,0.5]\n", "L = [0.5,0.5,0.5]\n", "K = [3./8.,3/4.,3/8.]\n", "W = [1./4.,3./4.,1./2.]\n", "\n", "# useful to label the high-sym point on the path\n", "high_sym = {'X':X,'L':L,'G':G,'K':K,'W':W} \n", "\n", "# set the path (use the same path of the pw computation)\n", "path = [L,G,X,K,G]\n", "# set the number of intermediate points between two high-sym ones\n", "bands_step = 20" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "# scissor\n", "# inp['variables']['GfnQP_E'] = [1.0,1.0,1.0]\n", "\n", "# band structure\n", "inp.set_scalar_variables(INTERP_mode='NN')\n", "inp.set_array_variables(BANDS_steps=bands_step,BANDS_kpts=path,INTERP_Shell_Fac=20)\n", "#inp" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "delete folder: Ypp_bands/gaas_bands_so\n", "run command: mpirun -np 4 ypp -F gaas_bands_so.in -J gaas_bands_so -C gaas_bands_so\n", "computation gaas_bands_so is running...\n", "computation gaas_bands_so ended\n", "Run performed in 05s\n" ] }, { "data": { "text/plain": [ "{'output': {'magnetization_z_interpolated': 'Ypp_bands/gaas_bands_so/o-gaas_bands_so.magnetization_z_interpolated',\n", " 'spin_factors_DN_interpolated': 'Ypp_bands/gaas_bands_so/o-gaas_bands_so.spin_factors_DN_interpolated',\n", " 'magnetization_y_interpolated': 'Ypp_bands/gaas_bands_so/o-gaas_bands_so.magnetization_y_interpolated',\n", " 'spin_factors_UP_interpolated': 'Ypp_bands/gaas_bands_so/o-gaas_bands_so.spin_factors_UP_interpolated',\n", " 'bands_interpolated': 'Ypp_bands/gaas_bands_so/o-gaas_bands_so.bands_interpolated',\n", " 'magnetization_x_interpolated': 'Ypp_bands/gaas_bands_so/o-gaas_bands_so.magnetization_x_interpolated'},\n", " 'report': 'Ypp_bands/gaas_bands_so/r-gaas_bands_so_electrons_bnds',\n", " 'dft': 'Ypp_bands/SAVE/ns.db1'}" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "results_ypp = code.run(run_dir=run_dir,input=inp,name='gaas_bands_so',skip=False)\n", "results_ypp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once that the computation is over we can create an instance of PwBands" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\u001b[0;31mSignature:\u001b[0m\n", "\u001b[0mU\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mBandStructure\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfrom_Ypp\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mresults\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0mhigh_sym_points\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m \u001b[0msuffix\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'bands_interpolated'\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\n", "\u001b[0;34m\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mDocstring:\u001b[0m\n", "Initialize the BandStructure class from the data dictionay of the result of a Ypp postprocessing.\n", "The class make usage of the YamboParser of this package.\n", "\n", "Args:\n", " results (:py:class:`dict`) : dictionary with the output of a Ypp computation\n", " high_sym_points(:py:class:`dict`) : dictionary with name and coordinates of the\n", " high_sym_points of the path\n", " suffix (string) : specifies the suffix of the o- file use to build the bands\n", "\u001b[0;31mFile:\u001b[0m ~/Applications/MPPI/mppi/Utilities/BandStructure.py\n", "\u001b[0;31mType:\u001b[0m method\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "U.BandStructure.from_Ypp?" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "bands_ypp = U.BandStructure.from_Ypp(results_ypp,high_sym)" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "plt.title('GaAs band from Ypp with spin-orbit',size=14)\n", "plt.ylim(-8,3)\n", "bands_ypp.plot(plt,selection=[2,3,4,5,6,7,8,9,10,11])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_Note that the NN interpolation method has been used, since the BOLTZ (which is the right one for the band structure evaluation) gives\n", "an interpolation error at run time, to be fixed!_" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The design of the plot method of the class allows us to plot bands coming from different calculations in the same plot.\n", "\n", "For instance, we can show the effect of the spin-orbit on the valence band of GaAs" ] }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 61, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bands_gaas.plot(plt,selection= [1,3],label='no_so',show_vertical_lines=False)\n", "bands_gaas_so.plot(plt,selection = [2,6],ls='--',label='so',show_vertical_lines=False)\n", "plt.ylim(-4,0.5)\n", "plt.xlim(0,2)\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The shift of the split-off band is visible." ] } ], "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", "version": "3.10.6" } }, "nbformat": 4, "nbformat_minor": 4 }