{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "cb509096-42c6-4a45-8dc4-a8eed3116e67",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from codes import utils, model, interface, solvers\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": 3,
   "id": "b39a2976-7c35-4670-83ef-12157bd3fc0e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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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",
    "#model2hk is dead, use tb2khamvector instead\n",
    "hk = utils.model2hk(h_0=h_0)\n",
    "# Compute Hamiltonian on the corresponding k-point grid\n",
    "#kgrid_hamiltonian is deprecated, use kfunc2kham instead\n",
    "hamiltonians_0, ks = utils.kgrid_hamiltonian(nk=nk, hk=hk, dim=1, return_ks=True)\n",
    "# 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": "code",
   "execution_count": 4,
   "id": "41bd9f60-8f29-4e7c-a0c4-a0bbf66445b2",
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy import optimize\n",
    "def compute_gap(model, nk, nk_dense, filling=2):\n",
    "    # Find groundstate Hamiltonian on the same grid\n",
    "    mf_model = interface.find_groundstate_ham(\n",
    "        model,\n",
    "        filling=filling,\n",
    "        nk=nk,\n",
    "        solver=solvers.rspace_solver,\n",
    "        cost_function=solvers.real_space_cost,\n",
    "        optimizer_kwargs={'M':0, 'w0':0.1}\n",
    "    )\n",
    "    # Generate Hamiltonian on a denser k-point grid\n",
    "    #model2hk is dead, use tb2khamvector instead\n",
    "    #kgrid_hamiltonian is deprecated, use kfunc2kham instead\n",
    "    mf_k = utils.kgrid_hamiltonian(\n",
    "        nk=nk_dense, hk=utils.model2hk(h_0=mf_model), dim=model.dim\n",
    "    )\n",
    "    # Diagonalize groundstate Hamiltonian\n",
    "    vals, _ = np.linalg.eigh(mf_k)\n",
    "    # Extract dense-grid Fermi energy\n",
    "    E_F = utils.get_fermi_energy(vals, filling)\n",
    "    gap = utils.calc_gap(vals, E_F)\n",
    "    return gap, vals# - E_F"
   ]
  },
  {
   "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": 5,
   "id": "32b9e7c5-db12-44f9-930c-21e5494404b8",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def compute_phase_diagram(\n",
    "    Us,\n",
    "    nk,\n",
    "    nk_dense,\n",
    "):\n",
    "    gap = []\n",
    "    vals = []\n",
    "    for U in tqdm(Us):\n",
    "        # onsite interactions\n",
    "        h_int = {\n",
    "            (0,): U * np.kron(np.eye(2), np.ones((2, 2))),\n",
    "            }\n",
    "        full_model = model.Model(h_0=h_0, h_int=h_int)\n",
    "        _gap, _vals = compute_gap(\n",
    "            model=full_model,\n",
    "            nk=nk,\n",
    "            nk_dense=nk_dense,\n",
    "        )\n",
    "        gap.append(_gap)\n",
    "        vals.append(_vals)\n",
    "    return np.asarray(gap, dtype=float), np.asarray(vals)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "6a8c08a9-7e31-420b-b6b4-709abfb26793",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  0%|          | 0/20 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 20/20 [00:14<00:00,  1.42it/s]\n"
     ]
    }
   ],
   "source": [
    "# Interaction strengths\n",
    "Us = np.linspace(0.01, 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": 7,
   "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": 8,
   "id": "868cf368-45a0-465e-b042-6182ff8b6998",
   "metadata": {},
   "outputs": [
    {
     "data": {
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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",
   "execution_count": 18,
   "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",
   "execution_count": 10,
   "id": "5499ea62-cf1b-4a13-8191-ebb73ea38704",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(1.00497633)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ds.gap.polyfit(dim=\"Us\", deg=1).polyfit_coefficients[0].data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "0cb395cd-84d1-49b4-89dd-da7a2d09c8d0",
   "metadata": {},
   "outputs": [],
   "source": [
    "ds.to_netcdf(\"./data/1d_hubbard_example.nc\")"
   ]
  }
 ],
 "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
}