{ "cells": [ { "cell_type": "markdown", "id": "fc300f73-120d-42af-bac8-4f64bde80e8c", "metadata": {}, "source": [ "# Convergence test of CTHYB solver parameters" ] }, { "cell_type": "markdown", "id": "2c00d28c-c503-46c1-aa58-f01852696515", "metadata": { "tags": [] }, "source": [ "## Overview\n", "\n", "The goal of this tutorial is to learn how to choose the parameters for the CTHYB solver in order to obtain accurate results with an optimized efficiency. The solver parameters investigated in this notebook are the following:\n", " \n", "1. `length_cycle` : The number of Monte Carlo updates in a cycle, i.e. between two consecutive measurements.\n", "2. `n_warmup_cycles` : The number of warmup (thermalization) cycles at the beginning of the simulation before any measurements are made.\n", "3. `n_cycles` : The total number of QMC measurements.\n", "4. `n_iw` : The number of Matsubara frequencies used for the representation of the Green's functions.\n", "5. `n_l` : The number of Legendre polynomials used in the accumulations of the Green’s functions.\n", "6. `n_tau` : The number of imaginary time points used for the representation of the Green’s functions." ] }, { "cell_type": "markdown", "id": "e9da6524-ecd4-4f47-86c8-43827cfaad86", "metadata": {}, "source": [ "This tutorial will help the user develop an intuition on how to perform the convergence tests for each parameter. Every test needs to be tailored according to the user's case of study." ] }, { "cell_type": "markdown", "id": "b183b76a-83cb-4f40-a8ee-b3e9557a3a8d", "metadata": {}, "source": [ "To run this notebook you need to import the modules below. For installation guide please refer to [TRIQS](https://triqs.github.io/triqs/latest/install.html) and [CTHYB](https://triqs.github.io/cthyb/latest/install.html) webpages." ] }, { "cell_type": "code", "execution_count": 1, "id": "353cbb52-62b8-4f6f-8d48-b71ccf5db0dd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning: could not identify MPI environment!\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Starting serial run at: 2022-09-27 11:43:09.629092\n" ] } ], "source": [ "import numpy as np\n", "from math import pi\n", "from triqs.gf import *\n", "from triqs.plot.mpl_interface import oplot,plt\n", "from matplotlib import pyplot\n", "from triqs.gf import make_gf_from_fourier\n", "from triqs.operators import *\n", "from h5 import *\n", "from h5 import HDFArchive\n", "from triqs_cthyb import Solver\n", "import scipy.optimize as opt\n", "import os\n", "import math\n", "import matplotlib as mpl\n", "from matplotlib.markers import MarkerStyle\n", "\n", "# To make plots in interactive mode\n", "%matplotlib inline\n", "\n", "# Make all figures slightly bigger\n", "mpl.rcParams['figure.dpi']=120" ] }, { "cell_type": "code", "execution_count": 2, "id": "a8d870f7-e89a-4a9e-a613-8d20986c65f3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "You are using triqs_cthyb version 3.1.0\n", "\n" ] } ], "source": [ "from triqs_cthyb.version import show_version\n", "show_version()" ] }, { "cell_type": "markdown", "id": "7886b7e4-198f-4195-90cd-a2c5ff82c26b", "metadata": { "tags": [] }, "source": [ "## 1. length_cycle\n", "Number of moves (or updates) between each measurement. In CTHYB, the Markov Chain is based on a sampling of the partition function. One of the measured observables in CTHYB is the Green's function in imaginary time $G(\\tau)$. Each \"move\" modifies the configuration of the system (or state of the system which here is $\\mathcal{C}=d^{\\dagger}_{\\alpha_{1}}(\\tau_1) d_{\\alpha^{'}_{1}}(\\tau^{'}_1) d^{\\dagger}_{\\alpha_{2}}(\\tau_2) . . . d_{\\alpha}(\\tau_N)$) by inserting/removing pairs of operators, or by moving operators in the configuration. Let's imagine each measurement is made every **L** moves, then we can say that these **L** moves form a cycle and the length of the cycle is **L**.\n", "\n", "The reason why we do not want to measure, for example $G(\\tau)$, after each move is because we want the configurations to be decorrelated from each other. To get an idea of decorrelation, we can look at the sign or expansion order which vary from one configuration to another. Plotting the standard deviation of sign/order versus the size of the data bins used to determine the error shows that it converges to a value called `auto-correlation time`. If,\n", "\n", " - `auto-correlation time` $>$ 1 : Consecutive measurements are correlated, i.e. measurements are performed too close to one another. This is not recommended if the the measurement process is time-consuming or if the error bars need to be accurate. `Length_cycle` should be increased.\n", " - `auto-correlation time` $\\sim$ 1 : Consecutive measurements are uncorrelated often enough. `Length_cycle` is the correct value.\n", " - `auto-correlation time` $\\ll$ 1 : Many more moves are performed even though the measurements would be uncorrelated. It means many less samples will be measured, requiring much longer calculation times for the same statistical noise. Moreover, it increases the error on $G(\\tau)$. `Length_cycle` should be decreased. " ] }, { "cell_type": "markdown", "id": "d3681879-e83b-4572-8eda-0a4a7b25a4fe", "metadata": {}, "source": [ "It must be noted that `auto-correlation time` depends on the measured observable (i.e. sign or expansion order), therefore it should be taken with caution. Ideally `auto-correlation time` should be of order one. If the measurement process is fast, there is no drawback in measuring too often (`auto-correlation time` $>$ 1). However there is a drawback in measuring too rarely (`auto-correlation time` $\\ll$ 1). " ] }, { "cell_type": "markdown", "id": "d98fbc0a-4f8c-49a3-b317-4f647eef8055", "metadata": {}, "source": [ "Here we take a single orbital Hubbard model at half-filling with a semi-circular density of states for three different betas $\\mathcal{\\beta} = 10, 20, 30 (1/eV)$ and plot `auto_correlation time` vs `length_cycle`. The fit of a 1/x function approximately shows the converged value of `length_cycle` for each $\\beta$." ] }, { "cell_type": "code", "execution_count": null, "id": "f4344502-7f9d-4638-b665-f096efdaed67", "metadata": {}, "outputs": [], "source": [ "t = 1.0 # Half bandwidth\n", "betas = [10, 20, 30]\n", "n_loops = 1\n", "U = 2.0\n", "mu = 0.0\n", "length_cycle = np.arange(20,520,20)\n", "\n", "for b in range(len(betas)):\n", " if not os.path.exists('../../../data/len_cyc_b%i'%betas[b]):\n", " os.makedirs('../../../data/len_cyc_b%i'%betas[b])\n", "\n", " for j in range(len(length_cycle)):\n", " S = Solver(beta = betas[b], gf_struct = [('up',1), ('down',1)])\n", " S.G_iw << SemiCircular(2*t)\n", " # DMFT loop with self-consistency\n", " for i in range(n_loops):\n", " print(\"\\n\\nIteration = %i / %i\" % (i+1, n_loops))\n", " # Symmetrize the Green's function and use self-consistency\n", " g = 0.5 * ( S.G_iw['up'] + S.G_iw['down'] )\n", " for name, g0 in S.G0_iw:\n", " g0 << inverse( iOmega_n + U/2.0 - mu - t**2 * g )\n", "\n", " # Solve the impurity problem\n", " S.solve(h_int = U * n('up',0) * n('down',0), # Local Hamiltonian \n", " n_cycles = 10000, # Number of QMC cycles\n", " length_cycle = length_cycle[j], # Number of Monte Carlo moves in a cycle\n", " n_warmup_cycles = 3000, # Warmup cycles\n", " )\n", " # Save iterations in archive\n", " with HDFArchive('../../../data/len_cyc_b%i/half-U-lc%i.h5'%(betas[b], length_cycle[j])) as A:\n", " A['a%i'%i] = S.auto_corr_time\n", " A['b%i'%i] = S.average_order" ] }, { "cell_type": "code", "execution_count": 33, "id": "58224265-eb4e-40a4-9c6c-ae4596233227", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Define the function for fitting a curve\n", "def func(x, a):\n", " return a* 1/(x)\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(8, 6))\n", "marker=['-^', '-o', '-s']\n", "for b in range(len(betas)):\n", " auto_corr_time = []\n", " for j in range(len(length_cycle)):\n", " R = HDFArchive('../../../data/len_cyc_b%i/half-U-lc%i.h5'%(betas[b], length_cycle[j]), 'r')\n", " auto_corr_time.append(R['a0'])\n", " optimizedParameters, pcov = opt.curve_fit(func, length_cycle, auto_corr_time); # Fit the curve\n", " ax.plot(length_cycle, func(length_cycle, *optimizedParameters), color='k');\n", " ax.plot(length_cycle, auto_corr_time, marker[b], fillstyle=\"none\", label='%i'%betas[b])\n", " ax.text(10, 0.03/(1.9**b), r'length_cycle$\\sim %i$ for $\\beta=%i$'%(math.ceil(optimizedParameters), betas[b]), fontsize=12)\n", "ax.set_yscale(\"log\")\n", "ax.text(10, 0.08, 'Auto_correlation time will be\\nequal to one at:', fontsize=12)\n", "ax.set_ylabel('Auto-correlation time',fontsize=18)\n", "ax.set_xlabel('length_cycle',fontsize=18)\n", "plt.legend(title=r'$\\beta(\\frac{1}{eV})$', title_fontsize=16, fontsize=14)\n", "ax.axhline(y=1, linestyle='--', color='k')\n", "ax.text(5, 0.7, '$auto-correlation = 1$', fontsize = 10)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e5caec79-e61f-490a-aac4-e87dd5ec97a3", "metadata": {}, "source": [ "We observe that for example at $\\beta=10$, the converged value of `length_cycle` (i.e. when `auto-correlation time` reaches one) is roughly 187. The calculation here has been performed for a fixed value of `n_cycles` and `n_warmup_cycles` , whereas they should ideally be increased with increasing $\\beta$. " ] }, { "cell_type": "markdown", "id": "55b2229b-4b88-4db9-911d-baaacc20ca17", "metadata": {}, "source": [ "## 2. n_warmup_cycles\n", "The system needs to be thermalized first, i.e. for the first few thousand cycles (`n_warmup_cycles`), we don't make measurements. In order to have an estimate of how many cycles are needed for thermalization, we set `n_warmup_cycle` to be zero in the solver and plot the `average_order` versus the number of cycles. This way, measurements are made from the beginning and the number of cycles at which the `average_order` starts to saturate is a good estimate for `n_warmup_cycles`." ] }, { "cell_type": "code", "execution_count": null, "id": "c76ec299-e26e-40da-b434-e23fa5566aed", "metadata": {}, "outputs": [], "source": [ "t = 1.0 # Half bandwidth\n", "betas = [10, 50, 100]\n", "n_loops = 1\n", "U = 2.0\n", "mu = 0.0\n", "n_cycles = np.arange(100,8000,100)\n", "\n", "for b in range(len(betas)):\n", " if not os.path.exists('../../../data/warm_up_b%i'%betas[b]):\n", " os.makedirs('../../../data/warm_up_b%i'%betas[b])\n", "\n", " for j in range(len(n_cycles)):\n", " S = Solver(beta = betas[b], gf_struct = [('up',1), ('down',1)])\n", " S.G_iw << SemiCircular(2*t)\n", " # DMFT loop with self-consistency\n", " for i in range(n_loops):\n", " print(\"\\n\\nIteration = %i / %i\" % (i+1, n_loops))\n", " # Symmetrize the Green's function and use self-consistency\n", " g = 0.5 * ( S.G_iw['up'] + S.G_iw['down'] )\n", " for name, g0 in S.G0_iw:\n", " g0 << inverse( iOmega_n + U/2.0 - mu - t**2 * g )\n", "\n", " # Solve the impurity problem\n", " S.solve(h_int = U * n('up',0) * n('down',0), # Local Hamiltonian \n", " n_cycles = n_cycles[j], # Number of QMC cycles\n", " length_cycle = 200, # Number of Monte Carlo moves in a cycle\n", " n_warmup_cycles = 0, # Warmup cycles\n", " )\n", " # Save iterations in archive\n", " with HDFArchive('../../../data/warm_up_b%i/half-U-wu%i.h5'%(betas[b], n_cycles[j])) as A:\n", " A['a%i'%i] = S.auto_corr_time\n", " A['b%i'%i] = S.average_order" ] }, { "cell_type": "code", "execution_count": 34, "id": "d6e62210-377e-4422-929d-0476809e19df", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(8, 6))\n", "marker=['-^', '-o', '-s']\n", "\n", "for b in range(len(betas)):\n", " average_order = []\n", " for j in range(len(n_cycles)):\n", " R = HDFArchive('../../../data/warm_up_b%i/half-U-wu%i.h5'%(betas[b], n_cycles[j]), 'r')\n", " average_order.append(R['b0'])\n", " average_order=list(map(lambda x: x/max(average_order), average_order))\n", " ax.plot(n_cycles, average_order, marker[b], fillstyle=\"none\", label='%i'%betas[b])\n", "ax.set_xscale(\"log\")\n", "ax.set_ylabel('Average_order/maximum_order', fontsize=16)\n", "ax.set_xlabel('n_cycles', fontsize=18)\n", "ax.set_title('n_warmup=0', fontsize=18)\n", "ax.axhline(y=1, linestyle='--', color='k')\n", "plt.legend(title=r'$\\beta(\\frac{1}{eV})$', title_fontsize=16, fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "46238612-287a-4d0f-99b7-cff788606093", "metadata": {}, "source": [ "The graph shows that for example at $\\beta=50$ almost 1000 `n_warmup_cycles` are enough to thermalize the system, but for $\\beta=100$ the thermalization is much slower. Again `length_cycles` is kept fixed here whereas it varies for different temperatures." ] }, { "cell_type": "markdown", "id": "3bdc20ad-19d8-48fb-8a23-da898b7977a9", "metadata": {}, "source": [ "## 3. n_cycles\n", "The Green's function in imaginary time $G(\\tau$) obtained from the solver for different number of `n_cycles` is plotted. Converged values of `length_cycle` and `n_warmup_cycles` are used from the previous tests. The Monte Carlo error should decay as $\\sim$1/sqrt(`n_cycles`). " ] }, { "cell_type": "code", "execution_count": null, "id": "1f51a01f-acaa-4772-b97f-6e9e60fb560e", "metadata": {}, "outputs": [], "source": [ "if not os.path.exists('../../../data/n_cycles_b10'):\n", " os.makedirs('../../../data/n_cycles_b10')\n", "t = 1.0 # Half bandwidth\n", "beta = 10\n", "n_loops = 1\n", "U = 2.0\n", "n_cycles = [32000, 64000, 128000, 256000, 512000, 1024000, 2048000]\n", "\n", "for j in range(len(n_cycles)):\n", " print('n_cycles =', n_cycles[j])\n", " S = Solver(beta = beta, gf_struct = [('up',1), ('down',1)])\n", " S.G_iw << SemiCircular(2*t)\n", "\n", " for i in range(n_loops):\n", " \n", " print(\"\\n\\nIteration = %i / %i\" % (i+1, n_loops))\n", " # Symmetrize the Green's function and use self-consistency\n", " g = 0.5 * ( S.G_iw['up'] + S.G_iw['down'] )\n", " for name, g0 in S.G0_iw:\n", " g0 << inverse( iOmega_n + U/2.0 - t**2 * g )\n", "\n", " # Solve the impurity problem\n", " S.solve(h_int = U * n('up',0) * n('down',0), # Local Hamiltonian \n", " n_cycles = n_cycles[j], # Number of QMC cycles\n", " length_cycle = 187, # Number of Monte Carlo moves in a cycle\n", " n_warmup_cycles = 2000, # Warmup cycles\n", " )\n", " \n", " # Save iterations in archive\n", " with HDFArchive('../../../data/n_cycles_b10/half-U-nc%ik.h5'%(n_cycles[j]/1000)) as A:\n", " A['Gtau-%i'%i] = S.G_tau" ] }, { "cell_type": "code", "execution_count": 38, "id": "c5ac281f-d882-4744-9e02-33f7bd3f8098", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(7, 1, figsize=(6, 11), sharex=True)\n", "\n", "for j in range(len(n_cycles)):\n", " R = HDFArchive('../../../data/n_cycles_b10/half-U-nc%ik.h5'%(n_cycles[j]/1000), 'r')\n", " ax[j].oplot(R['Gtau-0']['up'].real, '-', label=r\"n_cycles = %i\"%n_cycles[j])\n", " ax[j].set_ylabel('')\n", " ax[j].set_xlabel('')\n", "\n", "fig.supylabel(r'$G(\\tau)$', x=-0.01, fontsize=\"18\")\n", "fig.supxlabel(r'$\\tau$', y= 0.07, fontsize=\"18\")\n", "fig.suptitle(r'$\\beta=10 (\\frac{1}{eV})$', y=0.93, fontsize=\"18\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "acdcb7fc-60f8-46db-8f45-a707fb7f30c3", "metadata": {}, "source": [ "As you can see larger `n_cycles` gives a smoother Green's function, i.e. a smaller error on $G(\\tau$). It depends on the user's needs in terms of accuracy as to how large `n_cycles` should be." ] }, { "cell_type": "markdown", "id": "941d7048-9c90-4957-b494-bd8dd81d02f9", "metadata": { "tags": [] }, "source": [ "## 4. n_iw\n", "\n", "The number of Matsubara frequencies used for the Green’s functions. The Green's function should decay to zero for large $i\\omega_n$, and capturing this behavior correctly is important for Fourier Transforms and physicality. Here, we plot the electron filling `n` for different sizes of the frequency mesh. The size of the Matsubara frequency mesh is important when calculating the electron filling `n`:\n", "\n", "The definition of electron filling is $n = \\langle c^\\dagger c\\rangle$\n", "\n", "and $\\lim_{\\tau\\to 0} G(\\tau) = n$\n", "\n", "$G(\\tau) = -\\langle T c(\\tau)c^\\dagger\\rangle = \\langle T c^\\dagger c(\\tau)\\rangle \\rightarrow G(\\tau=0^-) = \\langle c^\\dagger c\\rangle = n$" ] }, { "cell_type": "markdown", "id": "dfd26fd6-259b-4059-a11f-07a9b7715689", "metadata": {}, "source": [ "The Fourier transform of $G(\\tau=0^-)$ is the sum of $G(i\\omega_n)$ over Matsubara frequencies which is equal to the electron filling.\n", "\n", "$G(\\tau=0^-)=\\sum_{i\\omega_n}{e^{i\\omega_n0^-}G(i\\omega_n)}=\\sum_{i\\omega_n}{G(i\\omega_n)}$\n", "\n", "$\\Rightarrow $ $n=\\sum_{i\\omega_n}{G(i\\omega_n)}$" ] }, { "cell_type": "markdown", "id": "0b93a0fe-d89b-4b53-a2eb-8697b42e64d7", "metadata": {}, "source": [ "Therefore density converges only if enough number of Matsubabra frequencies `n_iw` are kept in the mesh." ] }, { "cell_type": "code", "execution_count": 6, "id": "794bc663-b355-45a9-8b3d-660a627ddc37", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: High frequency moments have an error greater than 1e-4.\n", " Error = 0.000665894\n", " Please make sure you treat the constant offset analytically!\n", "WARNING: High frequency moments have an error greater than 1e-4.\n", " Error = 0.00528623\n", " Please make sure you treat the constant offset analytically!\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(12, 4))\n", "D = 1.5 # Half bandwidth\n", "beta = [100, 1000]\n", "n_max = [20, 40, 80, 160, 320, 640] # Size of the Matsubara frequency mesh \n", "marker=['-^', '-o']\n", "for i in range(len(beta)):\n", " density = []\n", " for j in range(len(n_max)):\n", " iw_mesh = MeshImFreq(beta=beta[i], S='Fermion', n_max=n_max[j])\n", " G = Gf(mesh=iw_mesh, target_shape=[])\n", " G << SemiCircular(D)\n", " density.append(G.density())\n", " ax[0].set_xscale(\"log\")\n", " ax[0].plot(n_max, density, marker[i], fillstyle=\"none\", label=beta[i])\n", " density = list(map(lambda x: x - 0.5, density))\n", " density = list(map(abs, density))\n", " ax[1].set_xscale(\"log\")\n", " ax[1].set_yscale(\"log\")\n", " ax[1].plot(n_max, density, marker[i], fillstyle=\"none\", label=beta[i])\n", "\n", "ax[0].legend(title=r'$\\beta(\\frac{1}{eV})$', title_fontsize=16, fontsize=14) \n", "ax[0].set_xlabel('$n_{i\\omega}$', fontsize=16) \n", "ax[0].set_ylabel('n', fontsize=16)\n", "ax[1].set_ylabel('$|n-0.5|$', fontsize=16)\n", "ax[1].legend(title=r'$\\beta(\\frac{1}{eV})$', title_fontsize=14, fontsize=12)\n", "ax[1].set_xlabel(r'$n_{i\\omega}$', fontsize=16)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "00d277bc-d978-4e36-b0f9-c7f7558022e1", "metadata": {}, "source": [ "The warning message printed is a hint that the frequency mesh is too small. Since we are working with the semi-circular density of states at half-filling, the electorn filling converges to 0.5. The error on `n` is plotted on the right which shows that electron filling converges with 320 Matsubara frquencies in the mesh." ] }, { "cell_type": "markdown", "id": "d31d3774-7c07-423b-a433-cc9d08a3e9ba", "metadata": {}, "source": [ "So far, we have study the number of Matsubara frequencies only for non-interacting cases. However, interaction can renormalize the shape of the Green's function, in which case it's better to directly investigate the Green's function instead of the electron filling. One can consider that there are enough numbers of Matsubara frequencies in the mesh if the Green's function is in the $\\frac{1}{\\omega}$ decay region (i.e. if the tail of the Green's function is close to zero).\n", "\n", "Below is an example of demonstrating the convergence by looking at the Green's function (still for the non-interacting case)." ] }, { "cell_type": "code", "execution_count": 17, "id": "12736bc4-6a76-4454-88cf-d0d405a1f18b", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6, 5))\n", "D = 1.5 # Half bandwidth\n", "beta = 100\n", "n_max = [640, 320, 160, 80, 40, 20]\n", "for j in range(len(n_max)):\n", " a = np.arange(-n_max[j],n_max[j])\n", " iw_mesh = MeshImFreq(beta=beta, S='Fermion', n_max=n_max[j])\n", " G = Gf(mesh=iw_mesh, target_shape=[1,1])\n", " G << SemiCircular(D)\n", " ax.plot(a/n_max[j], G.imag.data[:,0], label=n_max[j])\n", "\n", "ax.set_xlim(0,)\n", "ax.set_ylim(-1.5,0)\n", "ax.legend(title=r'$n_{i\\omega}$', title_fontsize=14, fontsize=12)\n", "ax.set_ylabel(\"$G(i\\omega_n)$\", fontsize=16)\n", "ax.set_xlabel(\"$\\omega_n/\\omega_{max}$\", fontsize=16)\n", "ax.set_title(r'$\\beta = %i (\\frac{1}{eV})$'%beta, fontsize=16)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "cee74b85-ce00-413c-8326-3b30ae7a153d", "metadata": {}, "source": [ "Here the mesh with 640 frequencies is the best choice." ] }, { "cell_type": "markdown", "id": "2b83469b-d885-47e3-81af-33f6488221e7", "metadata": {}, "source": [ "## 5. n_l\n", "\n", "The number of Legendre polynomials to use in accumulations of the Green’s function. Representing the Green's function in terms of Legendre polynomials is a compact basis representation described in [PRB 84, 075145 (2011)](https://journals.aps.org/prb/abstract/10.1103/PhysRevB.84.075145). \n", "\n", "$G(\\mathcal{l})=\\sqrt{2l+1}\\int_0^{\\beta}{d\\tau}P_l[x(\\tau)]G(\\tau)$ \n", "\n", "where $x(\\tau)=2\\tau/\\beta -1$ and $G(l)$ denotes the coefficients of $G(\\tau)$ in Legendre basis." ] }, { "cell_type": "markdown", "id": "c245a15d-1980-47e3-9b53-cc5a141cbadd", "metadata": {}, "source": [ "We first need to define a function that transforms the Green's function from the imaginary time domain to the Legendre basis." ] }, { "cell_type": "code", "execution_count": 2, "id": "cbe8e94a-9393-4fc7-b88c-a5818e11fc14", "metadata": {}, "outputs": [], "source": [ "from triqs.gf.tools import fit_legendre\n", "\n", "def ImTime_to_Legendre(G_tau, order=100, G_l_cut=1e-19):\n", " \"\"\" Filter binned imaginary time Green's function\n", " using a Legendre filter of given order and coefficient threshold.\n", " \"\"\"\n", "\n", " g_l = fit_legendre(G_tau, order=order)\n", " g_l['up'].data[:] *= (np.abs(g_l['up'].data) > G_l_cut)\n", " g_l['up'].enforce_discontinuity(np.identity(G_tau['up'].target_shape[0]))\n", "\n", " return g_l" ] }, { "cell_type": "markdown", "id": "cc21a52e-dee2-49dc-a9c3-d68cb5c5a029", "metadata": {}, "source": [ "Next, the Green's function in imaginary time $G(\\tau$) is obtained from the solver at $\\mathcal{\\beta} = 50 (1/eV)$ and `n_l`=60. We use the function defined in the previous cell to transform $G(\\tau)$ to the Legendre basis." ] }, { "cell_type": "code", "execution_count": null, "id": "8b7c840d-5178-4fdf-964c-1b66fd2fa6c3", "metadata": {}, "outputs": [], "source": [ "import os\n", "if not os.path.exists('../../../data/g_l'):\n", " os.makedirs('../../../data/g_l')\n", " \n", "# Parameters of the model\n", "t = 1.0\n", "beta = 50\n", "n_loops = 1\n", "U = 2.0\n", "n_l = 60\n", "# Construct the impurity solver\n", "S = Solver(beta = beta, n_l=n_l, gf_struct = [('up',1), ('down',1)])\n", "# This is a first guess for G\n", "S.G_iw << SemiCircular(2*t)\n", "\n", "for i in range(n_loops):\n", "\n", " g = 0.5 * ( S.G_iw['up'] + S.G_iw['down'] )\n", " for name, g0 in S.G0_iw:\n", " g0 << inverse( iOmega_n + U/2.0 - t**2 * g )\n", "\n", " # Solve the impurity problem\n", " S.solve(h_int = U * n('up',0) * n('down',0), # Local Hamiltonian \n", " n_cycles = 256000, # Number of QMC cycles\n", " length_cycle = 200,\n", " n_warmup_cycles = 4000, # Warmup cycles\n", " )\n", "\n", " # Save iteration in archive\n", " with HDFArchive(\"../../../data/g_l/half-U-nl%i.h5\"%n_l) as A:\n", " A['Gtau-%i'%i] = S.G_tau" ] }, { "cell_type": "code", "execution_count": 6, "id": "8a485ad7-45ea-4b82-8a94-32537e2fbd34", "metadata": {}, "outputs": [], "source": [ "R = HDFArchive('../../../data/g_l/half-U-nl%i.h5'%n_l, 'r')\n", "G_l = ImTime_to_Legendre(R['Gtau-0'], order=n_l, G_l_cut=1e-19)" ] }, { "cell_type": "markdown", "id": "37bc6d81-879f-434b-b933-ac4a11a8d815", "metadata": {}, "source": [ "The cell below separates the odd and even parts of the Legendre Green's function and the plot tells us how many Legendre plynomials we need to keep in our calcualtion. The cut-off point determines the error on $G(l)$ and the solver more or less. The coefficients for odd `l` must be zero due to particle-hole symmetry." ] }, { "cell_type": "code", "execution_count": 8, "id": "62048c3f-5626-4423-835e-adabcc4312bc", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots(figsize=(8, 6))\n", "left, bottom, width, height = [0.38, 0.2, 0.5, 0.45]\n", "ax2 = fig.add_axes([left, bottom, width, height])\n", "d_even=[]\n", "d_odd=[]\n", "dim=G_l['up'].data.shape[0]\n", "x_even=np.arange(0,dim,2)\n", "x_odd=np.arange(1,dim,2)\n", "for i in range(0,dim,2):\n", " d_even.append(G_l['up'].real.data[i,0])\n", "for k in range(1,dim,2):\n", " d_odd.append(G_l['up'].real.data[k,0])\n", "ax1.plot(x_even, d_even, marker=MarkerStyle('o', fillstyle='bottom'), label='l even')\n", "ax1.plot(x_odd, d_odd, '-^', label='l odd')\n", "d_even_abs= list(map(abs, d_even))\n", "d_odd_abs= list(map(abs, d_odd))\n", "ax2.plot(x_even, d_even_abs, marker=MarkerStyle('o', fillstyle='bottom'))\n", "ax2.plot(x_odd, d_odd_abs, '-^')\n", "pyplot.yscale('log')\n", "ax1.set_ylim(-6,1.5)\n", "ax1.legend(loc=(0.8,0.85))\n", "ax1.set_xlabel('$l$', fontsize=18)\n", "ax1.set_ylabel('$G(l)$', fontsize=18)\n", "ax2.set_ylabel('$|G(l)|$', fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "61dd4293-7ffb-435f-ba14-53d70f71c8d0", "metadata": {}, "source": [ "From inspecting this graph, it is clear that 35 coefficients (`l`) are enough to reach convergence. We can efficiently use this procedure as a noise filter by cutting the number of coefficients after $G(l)$ reaches its minimum value." ] }, { "cell_type": "markdown", "id": "146abddf-fe9f-44bd-90f2-30e5bbc1a1a1", "metadata": {}, "source": [ "## 6. n_tau\n", "Number of imaginary time points used for the Green's function. The CTHYB solver calculates the Green's function at time differences that are randomly sampled, $G(\\tau_i-\\tau_j)$ (where $\\tau_i$ and $\\tau_j$ are randomly chosen between 0 and $\\beta$). Every $\\tau$ value of the grid is associated with a bin of a given width. If the number of $\\tau$ points that fall into each bin is small (or in other words there are a lot of bins, `n_tau` is large) then the error in that bin will be large. Therefore, the plot of $G(\\tau)$ will show a lot of noise as `n_tau` is increased. However this does not matter because applying a Fourier transform on the Green's function sums over all the bins and averages out the error. In fact `n_tau` should be as large as possible." ] }, { "cell_type": "code", "execution_count": null, "id": "37a50933-cd75-480c-a819-d8110c87c746", "metadata": {}, "outputs": [], "source": [ "import os\n", "if not os.path.exists('../../../data/ntau-b10'):\n", " os.makedirs('../../../data/ntau-b10')\n", " \n", "# Parameters of the model\n", "t = 1.0\n", "beta = 10\n", "n_loops = 1\n", "U = 2.0\n", "n_tau = [101, 1001, 10001]\n", "# Construct the impurity solver\n", "\n", "for j in range(len(n_tau)):\n", " # n_iw=math.floor((1/8)*n_tau[j])\n", " print('n_tau =', n_tau[j])\n", " S = Solver(beta = beta, n_iw=50, n_tau=n_tau[j], gf_struct = [('up',1), ('down',1)])\n", " # This is a first guess for G\n", " S.G_iw << SemiCircular(2*t)\n", "\n", " for i in range(n_loops):\n", " \n", " g = 0.5 * ( S.G_iw['up'] + S.G_iw['down'] )\n", " for name, g0 in S.G0_iw:\n", " g0 << inverse( iOmega_n + U/2.0 - t**2 * g )\n", "\n", " # Solve the impurity problem\n", " S.solve(h_int = U * n('up',0) * n('down',0), # Local Hamiltonian \n", " n_cycles = 256000, # Number of QMC cycles\n", " length_cycle = 200,\n", " n_warmup_cycles = 4000, # Warmup cycles\n", " )\n", " \n", " # Save iteration in archive\n", " with HDFArchive(\"../../../data/ntau-b10/half-U-ntau%i.h5\"%n_tau[j]) as A:\n", " A['Gtau-%i'%i] = S.G_tau" ] }, { "cell_type": "code", "execution_count": 3, "id": "97c680f8-9cbe-414b-a746-e7b831af1e3a", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(3, 1, figsize=(8, 9))\n", "n_tau = [101, 1001, 10001]\n", "for j in range(len(n_tau)):\n", " A1 = HDFArchive(\"../../../data/ntau-b10/half-U-ntau%i.h5\"%n_tau[j], 'r')\n", " ax[j].oplot(A1['Gtau-0']['up'].real, '-', label=r\"$n(\\tau) = %i$\"%n_tau[j])\n", " ax[j].set_ylabel('')\n", " ax[j].set_xlabel('')\n", "fig.supylabel(r'$G(\\tau)$', x=-0.01, fontsize=\"18\")\n", "fig.supxlabel(r'$\\tau$', y= 0.07, fontsize=\"18\")\n", "fig.suptitle(r'$\\beta=10 (\\frac{1}{eV})$', y=0.93, fontsize=\"18\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c99d9080-201c-4946-85e3-082a9e807fd1", "metadata": {}, "source": [ "Applying Fourier transform on the Green's function to go from imaginary time to imaginary frequency domain also shows that it is better to work with larger `n_tau`. As can be seen from the graph below, for small `n_tau` the Green's function crosses zero which is not physical. " ] }, { "cell_type": "code", "execution_count": 20, "id": "32eef750-5a29-4e88-9279-e304e9058990", "metadata": {}, "outputs": [], "source": [ "from triqs.gf import Fourier\n", "from triqs.gf import make_gf_from_fourier" ] }, { "cell_type": "code", "execution_count": 21, "id": "984a7f73-0b8e-4ffd-98a1-b22c42162576", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: Direct Fourier cannot deduce the high-frequency moments of G(tau) due to noise or a coarse tau-grid. \t Please specify the high-frequency moments for higher accuracy.\n", "WARNING: Direct Fourier cannot deduce the high-frequency moments of G(tau) due to noise or a coarse tau-grid. \t Please specify the high-frequency moments for higher accuracy.\n", "WARNING: Direct Fourier cannot deduce the high-frequency moments of G(tau) due to noise or a coarse tau-grid. \t Please specify the high-frequency moments for higher accuracy.\n", "[Direct Fourier] WARNING: The imaginary time mesh is less than six times as long as the number of positive frequencies.\n", "This can lead to substantial numerical inaccuracies at the boundary of the frequency mesh.\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, dpi=150, figsize=(6, 4))\n", "iw_mesh = MeshImFreq(beta=10, S='Fermion', n_max=50)\n", "gf_struct = [('g',1)]\n", "ls=['-', '--', '-']\n", "Giw = BlockGf(mesh=iw_mesh, gf_struct=gf_struct)\n", "n_tau = [10001, 1001, 101]\n", "for j in range(len(n_tau)):\n", " A1 = HDFArchive(\"../../../data/ntau-b10/half-U-ntau%i.h5\"%n_tau[j], 'r')\n", " Giw << Fourier(A1['Gtau-0'])\n", " ax.oplot(Giw.imag, label=r\"$n(\\tau) = %i$\"%n_tau[j], linestyle=ls[j])\n", "ax.axhline(y=0, linestyle='--', color='k')\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": "3.10.6" } }, "nbformat": 4, "nbformat_minor": 5 }