{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "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", "$$\n", "{\\cal G}_0(i\\omega_n) = \\frac{1}{i\\omega_n - \\epsilon_d - V^2 \\Gamma(i\\omega_n)}\n", "$$\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": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Warning: could not identify MPI environment!\n", "\n", "╔╦╗╦═╗╦╔═╗ ╔═╗ ┌─┐┌┬┐┬ ┬┬ ┬┌┐ \n", " ║ ╠╦╝║║═╬╗╚═╗ │ │ ├─┤└┬┘├┴┐\n", " ╩ ╩╚═╩╚═╝╚╚═╝ └─┘ ┴ ┴ ┴ ┴ └─┘\n", "\n", "The local Hamiltonian of the problem:\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Starting serial run at: 2026-06-28 08:03:58.317947\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "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", "[Rank 0] Performing warmup phase...\n", "[Rank 0] 08:03:58 100.00% done, ETA 00:00:00, cycle 5000 of 5000, 6.22e+04 cycles/sec\n", "[Rank 0] Performing accumulation phase...\n", "[Rank 0] 08:03:58 11.73% done, ETA 00:00:00, cycle 5867 of 50000, 5.87e+04 cycles/sec\n", "[Rank 0] 08:03:59 100.00% done, ETA 00:00:00, cycle 50000 of 50000, 5.93e+04 cycles/sec\n", "[Rank 0] Collect results: Waiting for all MPI processes to finish accumulating...\n", "\n", "[Rank 0] Warmup duration: 0.0804 seconds [00:00:00]\n", "[Rank 0] Simulation duration: 0.8438 seconds [00:00:00]\n", "[Rank 0] Number of measures: 50000\n", "[Rank 0] Cycles (measures) / second: 5.93e+04\n", "[Rank 0] Measurement durations (total = 0.0281):\n", "[Rank 0] Measure Auto-correlation time: Duration = 0.0042\n", "[Rank 0] Measure Average order: Duration = 0.0012\n", "[Rank 0] Measure Average sign: Duration = 0.0011\n", "[Rank 0] Measure G_tau measure: Duration = 0.0216\n", "[Rank 0] Move durations (total = 0.7844):\n", "[Rank 0] Move set Insert two operators: Duration = 0.1042\n", "[Rank 0] Move Insert Delta_up: Duration = 0.0482\n", "[Rank 0] Move Insert Delta_down: Duration = 0.0480\n", "[Rank 0] Move set Remove two operators: Duration = 0.0950\n", "[Rank 0] Move Remove Delta_up: Duration = 0.0435\n", "[Rank 0] Move Remove Delta_down: Duration = 0.0434\n", "[Rank 0] Move set Insert four operators: Duration = 0.1533\n", "[Rank 0] Move Insert Delta_up_up: Duration = 0.0410\n", "[Rank 0] Move Insert Delta_up_down: Duration = 0.0312\n", "[Rank 0] Move Insert Delta_down_up: Duration = 0.0315\n", "[Rank 0] Move Insert Delta_down_down: Duration = 0.0410\n", "[Rank 0] Move set Remove four operators: Duration = 0.1081\n", "[Rank 0] Move Remove Delta_up_up: Duration = 0.0226\n", "[Rank 0] Move Remove Delta_up_down: Duration = 0.0270\n", "[Rank 0] Move Remove Delta_down_up: Duration = 0.0269\n", "[Rank 0] Move Remove Delta_down_down: Duration = 0.0229\n", "[Rank 0] Move Shift one operator: Duration = 0.3238\n", "[Rank 0] Move statistics:\n", "[Rank 0] Move set Insert two operators: Proposed = 99742, Accepted = 5108, Rate = 0.0512\n", "[Rank 0] Move Insert Delta_up: Proposed = 50040, Accepted = 2568, Rate = 0.0513\n", "[Rank 0] Move Insert Delta_down: Proposed = 49702, Accepted = 2540, Rate = 0.0511\n", "[Rank 0] Move set Remove two operators: Proposed = 99788, Accepted = 5089, Rate = 0.0510\n", "[Rank 0] Move Remove Delta_up: Proposed = 49992, Accepted = 2565, Rate = 0.0513\n", "[Rank 0] Move Remove Delta_down: Proposed = 49796, Accepted = 2524, Rate = 0.0507\n", "[Rank 0] Move set Insert four operators: Proposed = 99983, Accepted = 488, Rate = 0.0049\n", "[Rank 0] Move Insert Delta_up_up: Proposed = 25225, Accepted = 142, Rate = 0.0056\n", "[Rank 0] Move Insert Delta_up_down: Proposed = 24751, Accepted = 83, Rate = 0.0034\n", "[Rank 0] Move Insert Delta_down_up: Proposed = 24896, Accepted = 93, Rate = 0.0037\n", "[Rank 0] Move Insert Delta_down_down: Proposed = 25111, Accepted = 170, Rate = 0.0068\n", "[Rank 0] Move set Remove four operators: Proposed = 99948, Accepted = 496, Rate = 0.0050\n", "[Rank 0] Move Remove Delta_up_up: Proposed = 24672, Accepted = 142, Rate = 0.0058\n", "[Rank 0] Move Remove Delta_up_down: Proposed = 25150, Accepted = 96, Rate = 0.0038\n", "[Rank 0] Move Remove Delta_down_up: Proposed = 25058, Accepted = 87, Rate = 0.0035\n", "[Rank 0] Move Remove Delta_down_down: Proposed = 25068, Accepted = 171, Rate = 0.0068\n", "[Rank 0] Move Shift one operator: Proposed = 100539, Accepted = 69294, Rate = 0.6892\n", "\n", "Total number of measures: 50000\n", "Total cycles (measures) / second: 5.93e+04\n", "Average sign: 1\n", "Average order: 14.716\n", "Auto-correlation time: 67.8791 cycles\n" ] } ], "source": [ "from triqs.gfs 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", "In the next step, 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", "For a more detailed discussion of TRIQS/CTHYB parameters please read our [parameters guide](https://triqs.github.io/cthyb/latest/guide/cthyb_convergence_tests.html).\n", "\n", "Each 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": {}, "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": {}, "outputs": [ { "data": { "image/png": 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", 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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 (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" }, "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 }