{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Basic Example : How to construct $G_0$ from QSGW Hamiltonian" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$G^0(\\omega,L,L') = \\sum_{kij} P^{LL'}_{kij} \\frac{\\delta_{ij}}{\\omega - \\epsilon_{ik} }$$" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from pytriqs.lattice import BrillouinZone, BravaisLattice\n", "from pytriqs.gf import *\n", "from pytriqs.gf.tools import *\n", "import numpy as np\n", "import h5py" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Parameters" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "beta = 100\n", "nomg = 1000\n", "cix = 0\n", "DC = 24.3\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Load Questaal data" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# read useful information\n", "fh5 = h5py.File('h_lm.h5', 'r')\n", "nsp = np.array(fh5['nsp'])[0]\n", "alat = np.array(fh5['alat']) # Lattice constant\n", "plat = np.array(fh5['plat']) # Lattice vector\n", "qlat = np.array(fh5['qlat']) # rec Lattice vector\n", "nkabc = np.array(fh5['nkabc']) # nk for k-mesh\n", "pk = np.array(fh5['proj']) # p(k,spin,orb,band)\n", "ek = np.array(fh5['ek']) # e[k,spin,band] energy dispersion relative to ef.\n", "l = np.array(fh5['lcix'][cix])\n", "norb = 2 * l +1\n", "nband = ek.shape[2]\n", "nkfbz = nkabc[0] * nkabc[1] * nkabc[2]" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "# Define Gf function\n", "W = np.array([ 1j * (2*i+1)*np.pi/beta for i in range(nomg)])\n", "g0k = np.zeros((nkfbz,nsp,nomg,norb,norb), dtype = complex)\n", "g0loc = np.zeros((nomg,nsp,norb,norb), dtype = complex)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "# Compute G^0 = sum_ik U_ik^L 1/(w-e_ik) U_ik^L'\n", "for ik,isp in product(range(nkfbz),range(nsp)) :\n", " p = pk[ik,isp,cix]\n", " # Projection\n", " gm1 = np.add.outer(W,-ek[ik,isp])\n", " g0k[ik,isp] = np.einsum('ab,cb,db->cad',p,1./gm1,np.conjugate(p))\n", "g0loc = np.sum(g0k,axis=0) /nkfbz\n", "\n", "# DC\n", "DCm = DC * np.identity(norb)\n", "g0loc[:,:,:]=np.linalg.inv(np.linalg.inv(g0loc[:,:,:])+DCm)\n", "g0k[:,:,:,:]=np.linalg.inv(np.linalg.inv(g0loc[:,:,:,:])+DCm)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "#Put in TRIQS Green function\n", "periodization_matrix = np.diag(np.array(list(nkabc), dtype=np.int32))\n", "B = BravaisLattice(plat)\n", "bz = BrillouinZone(B) \n", "bzmesh = MeshBrillouinZone(bz, periodization_matrix)\n", "miw = MeshImFreq(beta=beta, S=\"Fermion\", n_max=nomg)\n", "mesh_k_iw = MeshProduct(bzmesh,miw)\n", "assert len(mesh_k_iw) == len(miw)*len(bzmesh)\n", "\n", "G0k = Gf(mesh = mesh_k_iw, target_shape = [nsp, norb, norb])\n", "G0loc = Gf(mesh = miw, target_shape = [nsp , norb, norb])\n", "\n", "for isp in range(nsp) :\n", " G0k.data[:,nomg:,isp,:,:] = g0k[:,isp]\n", " G0k.data[:,:nomg,isp,:,:] = np.conjugate(g0k[:,isp,::-1])\n", " G0loc.data[nomg:,isp,:,:] = g0loc[isp]\n", " G0loc.data[:nomg,isp,:,:] = np.conjugate(g0loc[isp,::-1])\n" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pytriqs.plot.mpl_interface import oplot\n", "import matplotlib.pyplot as plt\n", "plt.figure(figsize=(20,20))\n", "for i in range(norb) :\n", " plt.subplot(2,3,i+1)\n", " plt.title('m = '+str(i -norb/2))\n", " oplot(G0loc[0,i,i])\n", "plt.xlim(-10,10)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.16" } }, "nbformat": 4, "nbformat_minor": 2 }