{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:49:03.216298Z", "iopub.status.busy": "2023-08-28T15:49:03.216066Z", "iopub.status.idle": "2023-08-28T15:49:03.427181Z", "shell.execute_reply": "2023-08-28T15:49:03.426896Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "# change scale of all figures to make them bigger\n", "import matplotlib as mpl\n", "mpl.rcParams['figure.dpi']=100 " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "General reminder: Anderson impurity model and CTHYB solver\n", "=========================================\n", "\n", "In the Anderson impurity model, we decompose the full lattice problem into an interacting site ('impurity') hybridised to a bath:\n", "\n", "\n", "\n", "with the Hamiltonian\n", " \\begin{align*}\n", " H = & \\color{red}{H_{\\rm imp}} + \\color{darkgreen}{H_{\\rm hyb}} + \\color{blue}{H_{\\rm bath}} \\\\\n", " \\color{red}{H_{\\rm imp}} = & \\sum_{\\alpha \\beta} \\epsilon_{\\alpha \\beta} c^{\\dagger}_{\\alpha} c_{\\beta} \n", " + \\sum_{\\alpha \\beta \\gamma \\delta} U_{\\alpha \\beta \\gamma \\delta} c^{\\dagger}_{\\alpha} c^{\\dagger}_{\\beta} c_{\\delta} c_{\\gamma} \\\\\n", " \\color{darkgreen}{H_{\\rm hyb}} = & \\sum_{\\alpha \\nu k} (V_{\\alpha \\nu k} c^{\\dagger}_{\\alpha} d_{\\nu k} + h.~c.) \\\\\n", " \\color{blue}{H_{\\rm bath}} = & \\sum_{\\nu k} \\epsilon_{\\nu k} d^{\\dagger}_{\\nu k} d_{\\nu k}.\n", " \\end{align*}\n", "\n", "The basic idea behind the CTHYB algorithm is to solve the impurity model by diagrammatically expanding the partition function $Z$ in orders of the hybridization function. The resulting diagrams are then sampled stochastically using Monte Carlo while measuring quantities of interest, such as the Green's function. Contrary to the IPT solver, CTHYB yields, within statistical error-bars, the **exact** solution of the impurity model.\n", "\n", "The CTHYB solver needs two pieces of information as input from the user:\n", "- the **interacting Hamiltonian**, $H_{\\rm int} = \\sum_{\\alpha \\beta \\gamma \\delta} U_{\\alpha \\beta \\gamma \\delta} c^{\\dagger}_{\\alpha} c^{\\dagger}_{\\beta} c_{\\delta} c_{\\gamma}$,\n", "- the **non-interacting Green's function**, $G_0(i\\omega_n)$, from which the energy levels $\\epsilon$ and hybridization function are deduced." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The TRIQS/CTHYB impurity solver\n", "===============================\n", "\n", "In this notebook, we will see how to use the CTHYB impurity solver ([documentation here](https://triqs.github.io/cthyb/)). We will take\n", "the example of a single-orbital Anderson impurity model with a local Coulomb interaction on\n", "the impurity orbital\n", "\n", "$$\n", "H_\\mathrm{int} = U n_\\mathrm{\\uparrow} n_\\mathrm{\\downarrow}\n", "$$\n", "\n", "The non-interacting Green's function is\n", "\n", "$$\n", "G_0(i\\omega_n) = \\frac{1}{i\\omega_n - \\epsilon_d - V^2 \\Gamma(i\\omega_n)}\n", "$$\n", "\n", "and $\\Gamma$ is the Green's function of a flat conduction bath.\n", "\n", "Setting up the impurity solver\n", "------------------------------\n", "\n", "Here is an example showing how to construct an impurity solver and run it on a single-orbital Anderson impurity model.\n", "Wait until the calculation is over before going on (see the \"Kernel busy\" solid circle on the top right)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:49:03.428882Z", "iopub.status.busy": "2023-08-28T15:49:03.428783Z", "iopub.status.idle": "2023-08-28T15:49:04.116887Z", "shell.execute_reply": "2023-08-28T15:49:04.116405Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning: could not identify MPI environment!\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Starting serial run at: 2023-08-28 17:49:03.483848\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "╔╦╗╦═╗╦╔═╗ ╔═╗ ┌─┐┌┬┐┬ ┬┬ ┬┌┐ \n", " ║ ╠╦╝║║═╬╗╚═╗ │ │ ├─┤└┬┘├┴┐\n", " ╩ ╩╚═╩╚═╝╚╚═╝ └─┘ ┴ ┴ ┴ ┴ └─┘\n", "\n", "The local Hamiltonian of the problem:\n", "0.2*c_dag('down',0)*c('down',0) + 0.2*c_dag('up',0)*c('up',0) + 4*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)\n", "Using autopartition algorithm to partition the local Hilbert space\n", "Found 4 subspaces.\n", "\n", "Warming up ...\n", "17:49:03 100% ETA 00:00:00 cycle 4999 of 5000\n", "\n", "\n", "\n", "Accumulating ...\n", "17:49:03 19% ETA 00:00:00 cycle 9760 of 50000\n", "17:49:04 100% ETA 00:00:00 cycle 49999 of 50000\n", "\n", "\n", "[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...\n", "[Rank 0] Timings for all measures:\n", "Measure | seconds \n", "Auto-correlation time | 0.00566571\n", "Average order | 0.000908685\n", "Average sign | 0.000881916\n", "G_tau measure | 0.0114234 \n", "Total measure time | 0.0188797 \n", "[Rank 0] Acceptance rate for all moves:\n", "Move set Insert two operators: 0.0512121\n", " Move Insert Delta_up: 0.0513189\n", " Move Insert Delta_down: 0.0511046\n", "Move set Remove two operators: 0.0509981\n", " Move Remove Delta_up: 0.0513082\n", " Move Remove Delta_down: 0.0506868\n", "Move set Insert four operators: 0.00488083\n", " Move Insert Delta_up_up: 0.00562934\n", " Move Insert Delta_up_down: 0.0033534\n", " Move Insert Delta_down_up: 0.00373554\n", " Move Insert Delta_down_down: 0.00676994\n", "Move set Remove four operators: 0.00496258\n", " Move Remove Delta_up_up: 0.00575551\n", " Move Remove Delta_up_down: 0.0038171\n", " Move Remove Delta_down_up: 0.00347195\n", " Move Remove Delta_down_down: 0.00682145\n", "Move Shift one operator: 0.689225\n", "[Rank 0] Warmup lasted: 0.0479879 seconds [00:00:00]\n", "[Rank 0] Simulation lasted: 0.507693 seconds [00:00:00]\n", "[Rank 0] Number of measures: 50000\n", "Total number of measures: 50000\n", "Average sign: 1\n", "Average order: 14.716\n", "Auto-correlation time: 86.6392\n" ] } ], "source": [ "from triqs.gf import *\n", "from triqs.operators import *\n", "from triqs_cthyb import Solver\n", "\n", "V = 1.0 # Hybridization strength\n", "U = 4.0 # Local (on-site) Coulomb interaction\n", "epsilon_d = 0.2 # Orbital energy level\n", "beta = 20 # Inverse temperature\n", "\n", "# Construct the impurity solver\n", "S = Solver(beta = beta, gf_struct = [('up',1), ('down',1)] )\n", "\n", "# Define the non-interacting Green's function\n", "S.G0_iw << inverse(iOmega_n - epsilon_d - V**2 * Flat(1.0))\n", "\n", "# Define the interacting Hamiltonian\n", "h_int = U * n('up',0) * n('down',0)\n", "\n", "# Solve the impurity problem for a given local Hamiltonian.\n", "S.solve(h_int = h_int, \n", " length_cycle = 10, # Number of steps between each measurement\n", " n_warmup_cycles = 5000, # Number of warmup cycles\n", " n_cycles = 50000 # Number of QMC cycles\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's try to explain the different lines of the script above. To construct the solver all that is needed is the inverse temperature $\\beta$ and a list that describes the block structure of the Green's function. This is the `gf_struct` keyword. In this specific case, there are two (disconnected) blocks `up` and `down` and each containing only one orbital with the index 0. This is what is described by `gf_struct`.\n", "\n", "Then, the member `S.G0_iw` of the solver is initialized. This Green's function will be used as the non-interacting Green's function when the solver starts.\n", "\n", "The final step is to run the solver with the `solve` method. It has a certain number of parameters:\n", "\n", "- `h_int`: This is the interacting Hamiltonian (i.e. the quartic terms in the local Hamiltonian, those with 4 operators) solved for in the Monte Carlo. It is defined using the operators that we have seen in the previous notebook. **Important**: the name of the indices in the operators have to be compatible with the `gf_struct` that was used in the construction of the solver.\n", "- `length_cycle`: This is the number of steps at which measurements, e.g. of `G_tau`, are made to ensure data is decorrelated.\n", "- `n_warmup_cycles`: The number of cycles used to thermalize the system.\n", "- `n_cycles`: This is the number of Monte Carlo cycles, which is also the number of measures of the Green's function.\n", "\n", "So a calculation will have a Markov chain of length `length_cycle` * (`n_warmup_cycles` + `n_cycles`).\n", "\n", "When the run is over, the outputs of the solver are:\n", "\n", "- `S.G_tau`: The Green's function in imaginary time of the system.\n", "- `S.G_iw`: The Green's function in Matsubara frequency of the system.\n", "- `S.Sigma_iw`: The self-energy in Matsubara frequency.\n", "\n", "**Tips for advanced use**:\n", "- For some more complex standard Hamiltonians, the library provides functions that can be used to construct `h_int`. See the [operators](https://triqs.github.io/triqs/latest/documentation/python_api/triqs.operators.html) section of the TRIQS documentation.\n", "- It is likely that for more involved calculations, you will have more parameters that you can adjust. See the online CTHYB documentation.\n", "- If you have many more parameters, it can be beneficial to set the parameters in a dictionary at the top of your script and simply pass the dictionary to `solve` using Python keyword arguments:\n", "\n", "```\n", "p = {} # Initialize an empty Python dictionary\n", "p['length_cycle'] = 10 # Fill the dictionary with parameters\n", "p['n_warmup_cycles'] = 5000\n", "p['n_cycles'] = 50000\n", "\n", "S.solve(h_int = h_int, **p) # The dictionary contents will be unrolled as arguments to the solve function\n", "\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualizing the imaginary time sampled $G(\\tau)$\n", "-------------------------------------------------\n", "\n", "Fundamentally the cthyb solver samples diagrams of the partition function.\n", "The imaginary time impurity Green's function is then measured by removing individual hybridization lines, yielding samples at randomly chosen time-points.\n", "The samples at then gathered into bins obtained by splitting the interval $[0,\\beta)$ into `n_tau` pieces.\n", "\n", "We can visualize the result by plotting the raw data.\n", "The noise for each bin is inversely proportional the number of samples that fall into it.\n", "By increasing the bin-size we can reduce the noise level (but we introduce a systematic binning error). This is achieved with the `rebinning_tau` function" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:49:04.133867Z", "iopub.status.busy": "2023-08-28T15:49:04.133740Z", "iopub.status.idle": "2023-08-28T15:49:04.251105Z", "shell.execute_reply": "2023-08-28T15:49:04.250836Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from triqs.plot.mpl_interface import *\n", "\n", "oplot(S.G_tau['up'].real, '-', c='C0', label='raw MC data')\n", "\n", "G_imp_rebinned = S.G_tau['up'].rebinning_tau(new_n_tau=500)\n", "oplot(G_imp_rebinned.real, '-', c='C1', label='rebinned')\n", "\n", "plt.legend(loc='lower right')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualizing the Matsubara-frequency results\n", "-------------------------------------------\n", "\n", "We can also plot the results on the Matsubara axis and see how our statistics look in terms of the resulting noise. The solver automatically Fourier transforms `S.G_tau` to the Matsubara axis after finishing sampling, and the resulting Green's function can be accessed as `S.G_iw`:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:49:04.252469Z", "iopub.status.busy": "2023-08-28T15:49:04.252396Z", "iopub.status.idle": "2023-08-28T15:49:04.321342Z", "shell.execute_reply": "2023-08-28T15:49:04.321107Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "oplot(S.G_iw, 'o')\n", "plt.xlim(0,20)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2023-08-28T15:49:04.322733Z", "iopub.status.busy": "2023-08-28T15:49:04.322659Z", "iopub.status.idle": "2023-08-28T15:49:04.420812Z", "shell.execute_reply": "2023-08-28T15:49:04.420573Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "oplot(S.Sigma_iw, '-o')\n", "plt.xlim(0,20)\n", "plt.ylim(-1.0,2.0)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The large oscillations in the self-energy are due to a bad statistics in the Monte Carlo.\n", "\n", " Exercise\n", "--------\n", "\n", "Increase and decrease the number of Monte Carlo cycles to see its effect on the quality of the self-energy." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.5" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "widgets": { "state": {}, "version": "1.1.1" } }, "nbformat": 4, "nbformat_minor": 4 }