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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "cb509096-42c6-4a45-8dc4-a8eed3116e67",
"metadata": {
"tags": []
},

Johanna Zijderveld
committed
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Intel MKL WARNING: Support of Intel(R) Streaming SIMD Extensions 4.2 (Intel(R) SSE4.2) enabled only processors has been deprecated. Intel oneAPI Math Kernel Library 2025.0 will require Intel(R) Advanced Vector Extensions (Intel(R) AVX) instructions.\n",
"Intel MKL WARNING: Support of Intel(R) Streaming SIMD Extensions 4.2 (Intel(R) SSE4.2) enabled only processors has been deprecated. Intel oneAPI Math Kernel Library 2025.0 will require Intel(R) Advanced Vector Extensions (Intel(R) AVX) instructions.\n"
]
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from codes.solvers import solver\n",
"from codes.tb import transforms, utils\n",
"from codes.tb.tb import add_tb\n",
"from codes.model import Model\n",
"from tqdm import tqdm"
]
},
{
"cell_type": "markdown",
"id": "396d935c-146e-438c-878b-04ed70aa6d63",
"metadata": {},
"source": [
"To simulate infinite systems, we provide the corresponding tight-binding model.\n",
"\n",
"We exemplify this construction by computing the ground state of an infinite spinful chain with onsite interactions.\n",
"\n",
"Because the ground state is an antiferromagnet, so we must build a two-atom cell. We name the two sublattices, $A$ and $B$. The Hamiltonian in is:\n",
"$$\n",
"H_0 = \\sum_i c_{i, B}^{\\dagger}c_{i, A} + c_{i, A}^{\\dagger}c_{i+1, B} + h.c.\n",
"$$\n",
"We write down the spinful by simply taking $H_0(k) \\otimes \\mathbb{1}$."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "5529408c-fb7f-4732-9a17-97b0718dab29",
"metadata": {},
"outputs": [],
"source": [
"hopp = np.kron(np.array([[0, 1], [0, 0]]), np.eye(2))\n",
"h_0 = {(0,): hopp + hopp.T.conj(), (1,): hopp, (-1,): hopp.T.conj()}"
]
},
{
"cell_type": "markdown",
"id": "050f5435-6699-44bb-b31c-8ef3fa2264d4",
"metadata": {},
"source": [
"To build the tight-binding model, we need to generate a Hamiltonian on a k-point and the corresponding hopping vectors to generate a guess. We then verify the spectrum and see that the bands indeed consistent of two bands due to the Brillouin zone folding."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "b39a2976-7c35-4670-83ef-12157bd3fc0e",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Set number of k-points\n",
"nk = 100\n",
"ks = np.linspace(0, 2*np.pi, nk, endpoint=False) \n",
"hamiltonians_0 = transforms.tb_to_khamvector(h_0, nk, 1, ks=ks) \n",
"\n",
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"# Perform diagonalization\n",
"vals, vecs = np.linalg.eigh(hamiltonians_0)\n",
"# Plot data\n",
"plt.plot(ks, vals, c=\"k\")\n",
"plt.xticks([0, np.pi, 2 * np.pi], [\"$0$\", \"$\\pi$\", \"$2\\pi$\"])\n",
"plt.xlim(0, 2 * np.pi)\n",
"plt.ylabel(\"$E - E_F$\")\n",
"plt.xlabel(\"$k / a$\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "6ec53b08-053b-4aad-87a6-525dd7f61687",
"metadata": {},
"source": [
"Here, in the workflow to find the ground state, we use a helper function to build the initial guess. because we don't need a dense k-point grid in the self-consistent loop, we compute the spectrum later on a denser k-point grid."
]
},
{
"cell_type": "markdown",
"id": "dc59e440-1289-4735-9ae8-b04d0d13c94a",
"metadata": {},
"source": [
"Finally, we compute the eigen0alues for a set of Ualues of $U$. For this case, since the interaction is onsite only, the interaction matrix is simply\n",
"$$\n",
"H_{int} =\n",
"\\left(\\begin{array}{cccc}\n",
" U & U & 0 & 0\\\\\n",
" U & U & 0 & 0\\\\\n",
" 0 & 0 & U & U\\\\\n",
" 0 & 0 & U & U\n",
"\\end{array}\\right)~.\n",
"$$"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "32b9e7c5-db12-44f9-930c-21e5494404b8",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def compute_phase_diagram(\n",
" Us,\n",
" nk,\n",
" nk_dense,\n",
" filling=2,\n",
"):\n",
" gap = []\n",
" vals = []\n",
" for U in tqdm(Us):\n",
" # onsite interactions\n",
" (0,): U * np.kron(np.ones((2, 2)), np.eye(2)),\n",
" }\n",
" guess = utils.generate_guess(frozenset(h_int), len(list(h_0.values())[0]))\n",
" full_model = Model(h_0, h_int, filling)\n",
" mf_sol = solver(full_model, guess, nk=nk)\n",
" hkfunc = transforms.tb_to_kfunc(add_tb(h_0, mf_sol))\n",
" ks_dense = np.linspace(0, 2 * np.pi, nk_dense, endpoint=False)\n",
" hkarray = np.array([hkfunc(kx) for kx in ks_dense])\n",
" _vals = np.linalg.eigvalsh(hkarray)\n",
" _gap = (utils.compute_gap(add_tb(h_0, mf_sol), fermi_energy=0, nk=nk_dense))\n",
" gap.append(_gap)\n",
" vals.append(_vals)\n",
" return np.asarray(gap, dtype=float), np.asarray(vals)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "6a8c08a9-7e31-420b-b6b4-709abfb26793",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 20/20 [00:00<00:00, 81.59it/s]\n"
]
}
],
"source": [
"# Interaction strengths\n",
"Us = np.linspace(0.5, 10, 20, endpoint=True)\n",
"nk, nk_dense = 40, 100\n",
"gap, vals = compute_phase_diagram(Us=Us, nk=nk, nk_dense=nk_dense)"
]
},
{
"cell_type": "code",
"execution_count": 16,
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"id": "e17fc96c-c463-4e1f-8250-c254d761b92a",
"metadata": {},
"outputs": [],
"source": [
"import xarray as xr\n",
"\n",
"ds = xr.Dataset(\n",
" data_vars=dict(vals=([\"Us\", \"ks\", \"n\"], vals), gap=([\"Us\"], gap)),\n",
" coords=dict(\n",
" Us=Us,\n",
" ks=np.linspace(0, 2 * np.pi, nk_dense),\n",
" n=np.arange(vals.shape[-1])\n",
" ),\n",
")"
]
},
{
"cell_type": "markdown",
"id": "5a87dcc1-208b-4602-abad-a870037ec95f",
"metadata": {},
"source": [
"\n",
"We observe that as the interaction strength increases, a gap opens due to the antiferromagnetic ordering."
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "868cf368-45a0-465e-b042-6182ff8b6998",
"metadata": {},
"outputs": [
{
"data": {
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",
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"text/plain": [
"<Figure size 640x480 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ds.vals.plot.scatter(x=\"ks\", hue=\"Us\", ec=None, s=5)\n",
"plt.axhline(0, ls=\"--\", c=\"k\")\n",
"plt.xticks([0, np.pi, 2 * np.pi], [\"$0$\", \"$\\pi$\", \"$2\\pi$\"])\n",
"plt.xlim(0, 2 * np.pi)\n",
"plt.ylabel(\"$E - E_F$\")\n",
"plt.xlabel(\"$k / a$\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "0761ed33-c1bb-4f12-be65-cb68629f58b9",
"metadata": {},
"source": [
"The Hartree-Fock dispersion should follow (see [these notes](https://www.cond-mat.de/events/correl11/manuscript/Lechermann.pdf))\n",
"$$\n",
"\\epsilon_{HF}^{\\sigma}(\\mathbf{k}) = \\epsilon(\\mathbf{k}) + U \\left(\\frac{n}{2} + \\sigma m\\right)\n",
"$$\n",
"where $m=(\\langle n_{i\\uparrow} \\rangle - \\langle n_{i\\downarrow} \\rangle) / 2$ is the magnetization per atom and $n = \\sum_i \\langle n_i \\rangle$ is the total number of atoms per cell. Thus, for the antiferromagnetic groundstate, $m=1/2$ and $n=2$. The gap thus should be $\\Delta=U$. And we can confirm it indeed follows the expected trend."
]
},
{
"cell_type": "code",
"id": "ac2eb725-f3bd-4d5b-a509-85d0d0071958",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ds.gap.plot()\n",
"plt.plot(ds.Us, ds.Us)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "06e0d356-558e-40e3-8287-d7d2e0bee8cd",
"metadata": {},
"source": [
"We can also fit "
]
},
{
"cell_type": "code",
"id": "5499ea62-cf1b-4a13-8191-ebb73ea38704",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"ds.gap.polyfit(dim=\"Us\", deg=1).polyfit_coefficients[0].data"
]
},
{
"cell_type": "code",
"id": "0cb395cd-84d1-49b4-89dd-da7a2d09c8d0",
"metadata": {},
"outputs": [],
"source": [
"ds.to_netcdf(\"./data/1d_hubbard_example.nc\")"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "ce428241",
"metadata": {},
"outputs": [],
"source": []
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}
],
"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": "3.11.6"
},
"widgets": {
"application/vnd.jupyter.widget-state+json": {
"state": {},
"version_major": 2,
"version_minor": 0
}
}
},
"nbformat": 4,
"nbformat_minor": 5
}