{
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   "cell_type": "markdown",
   "id": "fd02e898",
   "metadata": {},
   "source": [
    "# Lecture 12: The recursive Green function algorithm (RGF)\n",
    "\n",
    "*From* [Nanoelectronic Modeling — From Atoms to Devices](https://nanohub.org/resources/45001), *Gerhard Klimeck, Purdue University. Lecture page:* [nanoHUB resource 45168](https://nanohub.org/resources/45168) — [video](https://nanohub.org/resources/45189) · [slides](https://nanohub.org/resources/45188)\n",
    "\n",
    "**In this lecture**\n",
    "\n",
    "- the two NEGF quantities: the retarded Green function $G^R$ (where electrons can be: the states) and the lesser Green function $G^<$ (where electrons are: the occupation)\n",
    "- the three simulation domains (left reservoir, central device, right reservoir) and the boundary self-energies obtained from the left- and right-connected Green functions of the semi-infinite leads\n",
    "- why $G^R = (E - H - \\Sigma^R)^{-1}$ is a full matrix although $E - H - \\Sigma^R$ is tridiagonal, and what a full inversion costs\n",
    "- which elements of $G^R$ are needed: one element for the current, the diagonal (and nearest off-diagonals) for the charge\n",
    "- the forward recursion for left-connected Green functions, the backward recursion for the diagonal of $G^R$, and the recursion for off-diagonal elements; cost $O(N B^3)$ instead of $O(N^3 B^3)$\n",
    "\n",
    "**In this notebook** implements the recursive Green function algorithm in NumPy for the single-band RTD of lecture 11.1, checks the diagonal and corner elements of $G^R$ against a dense inverse and the transmission against `nemo.Transport`, maps the local density of states and the left- and right-injected spectral functions, times the forward-only, full RGF, banded-LU and dense-inverse solutions against the number of sites, and extends the algorithm to block-tridiagonal matrices of a 2D strip to show the $N B^3$ scaling."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "166c54b8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:00.179009Z",
     "iopub.status.busy": "2026-10-25T17:27:00.178690Z",
     "iopub.status.idle": "2026-10-25T17:27:00.631455Z",
     "shell.execute_reply": "2026-10-25T17:27:00.630995Z"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import opennemo as nemo\n",
    "from opennemo.visualization import style\n",
    "\n",
    "style.use(notebook=True)\n",
    "H2M0 = nemo.core.units.HBAR2_2M0          # ħ²/2m₀ = 0.0381 eV nm²\n",
    "EM = nemo.structures.materials.EffectiveMassMaterial"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df21fccc",
   "metadata": {},
   "source": [
    "## 1. What NEGF has to compute\n",
    "\n",
    "This lecture is about numerics: how the Green functions used in all RTD calculations of this section are\n",
    "actually obtained. Two quantities are needed.\n",
    "\n",
    "**Dynamics, the states of the system.** The retarded Green function solves\n",
    "\n",
    "$$\n",
    "\\left(E - H - \\Sigma^R_\\text{bound} - \\Sigma^R_\\text{scatt}\\right) G^R = 1 ,\n",
    "$$\n",
    "\n",
    "where $E$ is the energy (eV), $H$ the device Hamiltonian, $\\Sigma^R_\\text{bound} = \\Sigma^R_\\text{left} +\n",
    "\\Sigma^R_\\text{right}$ the self-energies that describe escape into the contacts and $\\Sigma^R_\\text{scatt}$\n",
    "the escape into other channels by scattering. $G^R$ is the impulse response of the device: it tells where\n",
    "electrons can be.\n",
    "\n",
    "**Kinetics, the occupation.** The lesser Green function counts the electrons,\n",
    "\n",
    "$$\n",
    "G^< = G^R\\left(\\Sigma^<_\\text{bound} + \\Sigma^<_\\text{scatt}\\right) G^{R\\dagger},\n",
    "\\qquad \\Sigma^<_\\text{bound} = i\\,\\Gamma_\\text{left} f_\\text{left} + i\\,\\Gamma_\\text{right} f_\\text{right},\n",
    "$$\n",
    "\n",
    "with $\\Gamma = i(\\Sigma^R - \\Sigma^{R\\dagger})$ the broadening of a contact and $f$ its Fermi function.\n",
    "The lecture's analogy: $G^R$ is the set of apartments, $G^<$ tells which apartments are occupied. Here\n",
    "scattering is left out ($\\Sigma_\\text{scatt} = 0$); it is the subject of lecture 13. For a full course on NEGF\n",
    "the lecture recommends Supriyo Datta's lectures on nanoHUB.\n",
    "\n",
    "The device is split into three domains: a left reservoir, the central device (sites $0 \\dots N-1$) and a\n",
    "right reservoir. Each reservoir is a semi-infinite lead. Its *left-connected* Green function $g^R_{-1,-1}$\n",
    "on the last lead site knows everything about the lead from site $-1$ to $-\\infty$; coupled into the device\n",
    "by the hopping $t_{-1,0}$ it gives the boundary self-energy on site 0,\n",
    "\n",
    "$$\n",
    "\\Sigma^R_{0,0} = t_{0,-1}\\, g^R_{-1,-1}\\, t_{-1,0},\n",
    "$$\n",
    "\n",
    "and the same on site $N-1$ from the right lead. For a single-band lead with hopping $t$ and band bottom\n",
    "$E_c$ this is analytic, $\\Sigma^R = -t\\,e^{ika}$ with $\\cos ka = 1 - (E - E_c)/2t$; for multiband leads it is\n",
    "computed numerically, for example with the Sancho–Rubio iteration."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3ef0f380",
   "metadata": {},
   "source": [
    "The test device is the RTD of lecture 11.1: GaAs contacts, two 5 nm Al$_{0.3}$Ga$_{0.7}$As barriers and a 7 nm\n",
    "GaAs well, discretised with $a = 0.1$ nm. Its Hamiltonian is a tridiagonal matrix with on-site energies\n",
    "$\\varepsilon_i$ and hoppings $-t_i$, $t = \\hbar^2/(2 m^* a^2)$; `rtd.lead_self_energy` returns the analytic lead\n",
    "self-energy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ca22cdb3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:00.632689Z",
     "iopub.status.busy": "2026-10-25T17:27:00.632602Z",
     "iopub.status.idle": "2026-10-25T17:27:00.637381Z",
     "shell.execute_reply": "2026-10-25T17:27:00.637005Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "N = 370 sites, hopping H_i,i+1 = -56.87 eV in GaAs and -41.46 eV in AlGaAs\n",
      "nonzeros of H: 1108 of 136900 (0.81%)\n"
     ]
    }
   ],
   "source": [
    "import time\n",
    "\n",
    "from threadpoolctl import threadpool_limits\n",
    "\n",
    "x_al = 0.3\n",
    "gaas = EM(\"GaAs\", 0.067, 12.9, conduction_band_edge=0.0)\n",
    "algaas = EM(\"Al0.3Ga0.7As\", 0.067 + 0.083 * x_al, 12.9 - 2.84 * x_al, conduction_band_edge=0.324)\n",
    "layers = [\n",
    "    nemo.Layer(gaas, 10),\n",
    "    nemo.Layer(algaas, 5),\n",
    "    nemo.Layer(gaas, 7),\n",
    "    nemo.Layer(algaas, 5),\n",
    "    nemo.Layer(gaas, 10),\n",
    "]\n",
    "rtd = nemo.Heterostructure1D(layers, spacing=0.1)\n",
    "H = rtd.hamiltonian.sparse.dense()\n",
    "N = rtd.num_sites\n",
    "eps, hop = np.real(np.diag(H)), np.real(np.diag(H, 1))  # on-site energies and H_{i,i+1} (eV)\n",
    "print(f\"N = {N} sites, hopping H_i,i+1 = {hop[0]:.2f} eV in GaAs and {hop[110]:.2f} eV in AlGaAs\")\n",
    "print(f\"nonzeros of H: {np.count_nonzero(H)} of {N * N} ({np.count_nonzero(H) / N**2:.2%})\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ece45207",
   "metadata": {},
   "source": [
    "## 2. $G^R$ is a full matrix, and inverting it is expensive\n",
    "\n",
    "$E - H - \\Sigma^R$ is tridiagonal; only the two corner sites are modified by the self-energies. Its inverse,\n",
    "however, is a full matrix: an impulse on any site reaches every other site. The figure shows\n",
    "$|G^R_{ij}|$ at an energy just above the first resonance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e24381c8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:00.638313Z",
     "iopub.status.busy": "2026-10-25T17:27:00.638253Z",
     "iopub.status.idle": "2026-10-25T17:27:00.764267Z",
     "shell.execute_reply": "2026-10-25T17:27:00.763950Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "smallest |G_ij| = 6.2e-04 1/eV: no element of G is zero\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1100x462 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def dense_green(H, E, potential=None):\n",
    "    u = np.zeros(len(H)) if potential is None else potential\n",
    "    A = (E + 0j) * np.eye(len(H)) - H - np.diag(u)\n",
    "    A[0, 0] -= rtd.lead_self_energy(E, \"left\", potential=u[0])\n",
    "    A[-1, -1] -= rtd.lead_self_energy(E, \"right\", potential=u[-1])\n",
    "    return np.linalg.inv(A)\n",
    "\n",
    "\n",
    "E0 = 0.06\n",
    "G = dense_green(H, E0)\n",
    "fig, axs = plt.subplots(1, 2, figsize=(10, 4.2))\n",
    "axs[0].spy(np.abs(H) > 0, markersize=0.3, color=style.CONTEXT)\n",
    "axs[0].set_title(\"E − H − Σ: tridiagonal\")\n",
    "im = axs[1].imshow(np.log10(np.abs(G)), cmap=\"viridis\")\n",
    "axs[1].set_title(f\"log10 |G_ij| at E = {E0} eV: full\")\n",
    "fig.colorbar(im, ax=axs[1], shrink=0.8, label=\"log10 |G| (1/eV)\")\n",
    "print(f\"smallest |G_ij| = {np.abs(G).min():.1e} 1/eV: no element of G is zero\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4600e99c",
   "metadata": {},
   "source": [
    "The lecture counts the cost for a realistic device. An RTD with 100 nm contacts and 5 nm barriers and well has\n",
    "500 to 1000 sites; in a multiband tight-binding model each site is a $10\\times10$ or $20\\times20$ block, so\n",
    "the matrix order is between 500 and 10 000. A full inversion costs $\\sim N^3$ operations, a tridiagonal LU\n",
    "factorisation that produces the whole inverse $\\sim N^2$, and the recursive algorithm $\\sim N$. Storage\n",
    "follows the same logic: the sparse matrix needs about $3N$ complex numbers, the full $G^R$ needs $N^2$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "8477d4a9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:00.765281Z",
     "iopub.status.busy": "2026-10-25T17:27:00.765202Z",
     "iopub.status.idle": "2026-10-25T17:27:00.767464Z",
     "shell.execute_reply": "2026-10-25T17:27:00.767090Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "full inversion, N^3        : 1e+12 operations ->   1e+08 s =  2.78e+04 h = 3.17 years\n",
      "tridiagonal LU, N^2        : 1e+08 operations ->   1e+04 s =      2.78 h = 0.000317 years\n",
      "recursive Green function, N: 1e+04 operations ->   1e+00 s =  0.000278 h = 3.17e-08 years\n",
      "storage: sparse matrix 3N x 16 bytes = 0.48 MB, full G = N^2 x 16 bytes = 1600 MB\n"
     ]
    }
   ],
   "source": [
    "n = 10_000\n",
    "ops = {\"full inversion, N^3\": n**3, \"tridiagonal LU, N^2\": n**2, \"recursive Green function, N\": n}\n",
    "rate = n / 1.0  # operations per second that make the RGF take one second, as on the slide\n",
    "for name, k in ops.items():\n",
    "    t = k / rate\n",
    "    print(f\"{name:27s}: {k:.0e} operations -> {t:7.0e} s = {t / 3600:9.3g} h = {t / 3.156e7:.3g} years\")\n",
    "print(\n",
    "    f\"storage: sparse matrix 3N x 16 bytes = {3 * n * 16 / 1e6:.2f} MB, full G = N^2 x 16 bytes = \"\n",
    "    f\"{n**2 * 16 / 1e6:.0f} MB\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "352f1139",
   "metadata": {},
   "source": [
    "![Slide 10: cost of the full inversion, the tridiagonal LU and the recursive Green function](attachment:slide_010.png)\n",
    "\n",
    "*Slide 10. For a matrix of order $10^4$: $10^{12}$ operations for the full inversion (3.2 years if $10^4$ operations\n",
    "take a second), $10^8$ for the tridiagonal LU (2.7 hours), $10^4$ for the recursive Green function (1 s). One\n",
    "inversion is not enough: 100–1000 energies, 5–7 self-consistent iterations and 10–100 bias points need about\n",
    "165 000 of them. The full $G^R$ of order $10^4$ needs 1600 MB, the sparse matrix 0.5 MB.*"
   ],
   "attachments": {
    "slide_010.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "markdown",
   "id": "0d9c27d0",
   "metadata": {},
   "source": [
    "## 3. Which elements are needed?\n",
    "\n",
    "Without incoherent scattering, only a few elements of $G^R$ enter the observables:\n",
    "\n",
    "- **Current only** (the charge comes from a semiclassical model, as in the Thomas–Fermi calculations of lectures\n",
    "  11.1–11.3): the transmission is $T(E) = \\Gamma_L \\Gamma_R |G^R_{0,N-1}|^2$, one single element.\n",
    "- **Current and charge** (Hartree, lecture 11.4): the electron density on site $i$ needs the diagonal of\n",
    "  $G^< = G^R \\Sigma^< G^{R\\dagger}$, that is $\\Gamma_L |G^R_{i,0}|^2 f_L + \\Gamma_R |G^R_{i,N-1}|^2 f_R$ in the\n",
    "  non-equilibrium region, the first and last columns of $G^R$; in the reservoirs, where the occupation is an\n",
    "  equilibrium one, the diagonal $G^R_{i,i}$ suffices.\n",
    "\n",
    "The two columns have a direct meaning: $\\Gamma_L |G^R_{i,0}|^2/2\\pi$ is the probability density of finding on\n",
    "site $i$ an electron injected from the left contact, $\\Gamma_R |G^R_{i,N-1}|^2/2\\pi$ the same for an electron\n",
    "from the right contact. Their sum is the local density of states $-\\operatorname{Im} G^R_{ii}/\\pi$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c991abc1",
   "metadata": {},
   "source": [
    "![Slide 22: only a few elements of the Green function are needed; scattering needs the full matrix](attachment:slide_022.png)\n",
    "\n",
    "*Slide 22. Without scattering only a few elements are needed: the diagonals in the reservoirs (equilibrium density\n",
    "of states) and the off-diagonal strips that carry the coherent transport of electrons injected from the left\n",
    "and from the right contact. Non-equilibrium scattering connects different sites and requires the full matrix\n",
    "(red box).*"
   ],
   "attachments": {
    "slide_022.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "markdown",
   "id": "eeb715d1",
   "metadata": {},
   "source": [
    "## 4. The recursions\n",
    "\n",
    "Write the matrix to be inverted as $A = E - H - \\Sigma^R$ with diagonal blocks $D_i$ (here numbers,\n",
    "$D_i = E - \\varepsilon_i - \\Sigma_i$) and off-diagonal blocks $t_{i,i\\pm1}$, the off-diagonal entries of $A$\n",
    "(here $t_{i,i+1} = -H_{i,i+1}$).\n",
    "\n",
    "**Forward recursion** (left-connected Green functions). $g^{L}_{i,i}$ is the Green function of site $i$\n",
    "with everything to its left connected and everything to its right cut off:\n",
    "\n",
    "$$\n",
    "g^{L}_{0,0} = D_0^{-1}, \\qquad g^{L}_{i,i} = \\left(D_i - t_{i,i-1}\\, g^{L}_{i-1,i-1}\\, t_{i-1,i}\\right)^{-1}.\n",
    "$$\n",
    "\n",
    "The last one, $g^L_{N-1,N-1}$, includes the right lead through $D_{N-1}$ and is therefore the exact\n",
    "element $G^R_{N-1,N-1}$: left-connected and right-connected meet at the last site.\n",
    "\n",
    "**Backward recursion** (diagonal of $G^R$):\n",
    "\n",
    "$$\n",
    "G^R_{i,i} = g^{L}_{i,i}\\left(1 + t_{i,i+1}\\, G^R_{i+1,i+1}\\, t_{i+1,i}\\, g^{L}_{i,i}\\right).\n",
    "$$\n",
    "\n",
    "**Off-diagonal elements**, by walking from the diagonal one step at a time:\n",
    "\n",
    "$$\n",
    "G^R_{i,j} = -\\,g^{L}_{i,i}\\, t_{i,i+1}\\, G^R_{i+1,j} \\quad (i < j),\n",
    "$$\n",
    "\n",
    "which gives the last column $G^R_{i,N-1}$ from $G^R_{N-1,N-1}$. For the current alone, the corner element\n",
    "can be carried along in the forward pass: the left-connected corner element obeys\n",
    "$g^{L}_{0,i} = -\\,g^{L}_{0,i-1}\\, t_{i-1,i}\\, g^{L}_{i,i}$, and $G^R_{0,N-1} = g^L_{0,N-1}$.\n",
    "The first column follows from the same recursions run from the right (right-connected Green functions)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "df4eb088",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:00.768427Z",
     "iopub.status.busy": "2026-10-25T17:27:00.768356Z",
     "iopub.status.idle": "2026-10-25T17:27:00.773204Z",
     "shell.execute_reply": "2026-10-25T17:27:00.772902Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "max |G_ii(RGF) - G_ii(dense)|       = 1.0e-12 1/eV (largest |G_ii| 3.6)\n",
      "max |G_i,N-1(RGF) - dense|          = 4.4e-14 1/eV\n",
      "max |G_i,0(RGF) - dense|            = 3.0e-14 1/eV\n",
      "|G_0,N-1| forward pass only: 8.908818e-04, dense: 8.908818e-04\n"
     ]
    }
   ],
   "source": [
    "def rgf(d, tu, tl, current_only=False):\n",
    "    \"\"\"Recursive Green function for a scalar tridiagonal A = E - H - Sigma.\n",
    "\n",
    "    d: diagonal D_i, tu: A_{i,i+1}, tl: A_{i+1,i}. Returns G_{0,N-1} if current_only, else\n",
    "    (diagonal G_ii, last column G_{i,N-1}).\n",
    "    \"\"\"\n",
    "    n = len(d)\n",
    "    g = np.empty(n, complex)\n",
    "    g[0] = 1 / d[0]\n",
    "    corner = g[0]\n",
    "    for i in range(1, n):  # forward: left-connected g\n",
    "        g[i] = 1 / (d[i] - tl[i - 1] * g[i - 1] * tu[i - 1])\n",
    "        corner = -corner * tu[i - 1] * g[i]\n",
    "    if current_only:\n",
    "        return corner\n",
    "    G, col = np.empty(n, complex), np.empty(n, complex)\n",
    "    G[-1] = col[-1] = g[-1]\n",
    "    for i in range(n - 2, -1, -1):  # backward: diagonal and last column\n",
    "        G[i] = g[i] * (1 + tu[i] * G[i + 1] * tl[i] * g[i])\n",
    "        col[i] = -g[i] * tu[i] * col[i + 1]\n",
    "    return G, col\n",
    "\n",
    "\n",
    "def rgf_device(E, u):\n",
    "    \"\"\"Diagonal, first column, last column of G^R and the broadenings, for potential u (eV).\"\"\"\n",
    "    sl = rtd.lead_self_energy(E, \"left\", potential=u[0])\n",
    "    sr = rtd.lead_self_energy(E, \"right\", potential=u[-1])\n",
    "    d = E - eps - u + 0j\n",
    "    d[0] -= sl\n",
    "    d[-1] -= sr\n",
    "    Gd, col_last = rgf(d, -hop, -hop)\n",
    "    _, col_first = rgf(d[::-1], -hop[::-1], -hop[::-1])  # right-connected pass\n",
    "    return Gd, col_first[::-1], col_last, -2 * sl.imag, -2 * sr.imag\n",
    "\n",
    "\n",
    "u0 = np.zeros(N)\n",
    "Gd, c0, cN, gl, gr = rgf_device(E0, u0)\n",
    "print(\n",
    "    f\"max |G_ii(RGF) - G_ii(dense)|       = {np.abs(Gd - np.diag(G)).max():.1e} 1/eV \"\n",
    "    f\"(largest |G_ii| {np.abs(np.diag(G)).max():.1f})\"\n",
    ")\n",
    "print(f\"max |G_i,N-1(RGF) - dense|          = {np.abs(cN - G[:, -1]).max():.1e} 1/eV\")\n",
    "print(f\"max |G_i,0(RGF) - dense|            = {np.abs(c0 - G[:, 0]).max():.1e} 1/eV\")\n",
    "d = E0 - eps + 0j\n",
    "d[0] -= rtd.lead_self_energy(E0, \"left\")\n",
    "d[-1] -= rtd.lead_self_energy(E0, \"right\")\n",
    "print(\n",
    "    f\"|G_0,N-1| forward pass only: {abs(rgf(d, -hop, -hop, current_only=True)):.6e}, dense: \"\n",
    "    f\"{abs(G[0, -1]):.6e}\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e23884a",
   "metadata": {},
   "source": [
    "![Slide 35: forward and backward recursion, and why the forward recursion is the bottleneck](attachment:slide_035.png)\n",
    "\n",
    "*Slide 35. The forward recursion inverts one block per layer and scales as $O(N B^3)$; the backward recursion only\n",
    "multiplies blocks, $O(N B^2)$. With block sizes $B$ of 10–40 the forward recursion is the bottleneck.*"
   ],
   "attachments": {
    "slide_035.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "markdown",
   "id": "07a3e4e0",
   "metadata": {},
   "source": [
    "The RGF elements agree with the dense inverse to round-off. Now the transmission through the RTD,\n",
    "$T(E) = \\Gamma_L \\Gamma_R |G^R_{0,N-1}|^2$ from the forward pass alone, against `nemo.Transport` (open-nemo's\n",
    "own RGF implementation), at zero bias and with a linear drop of 0.1 V across the barriers and the well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "78f0b097",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:00.774049Z",
     "iopub.status.busy": "2026-10-25T17:27:00.773986Z",
     "iopub.status.idle": "2026-10-25T17:27:01.499527Z",
     "shell.execute_reply": "2026-10-25T17:27:01.499064Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.0 V: max |T_RGF - T_nemo| = 1.3e-08, NumPy forward pass 0.20 ms per energy\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.1 V: max |T_RGF - T_nemo| = 5.7e-09, NumPy forward pass 0.20 ms per energy\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 770x418 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = rtd.x\n",
    "ramp = np.clip((x - 10) / 17, 0, 1)\n",
    "E = np.linspace(0.001, 0.4, 1200)\n",
    "tr = nemo.Transport(rtd.hamiltonian)\n",
    "\n",
    "\n",
    "def transmission_rgf(E, u):\n",
    "    out = np.empty(len(E))\n",
    "    for k, e in enumerate(E):\n",
    "        sl = rtd.lead_self_energy(e, \"left\", potential=u[0])\n",
    "        sr = rtd.lead_self_energy(e, \"right\", potential=u[-1])\n",
    "        d = e - eps - u + 0j\n",
    "        d[0] -= sl\n",
    "        d[-1] -= sr\n",
    "        out[k] = 4 * sl.imag * sr.imag * abs(rgf(d, -hop, -hop, current_only=True)) ** 2\n",
    "    return out\n",
    "\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(7, 3.8))\n",
    "for v, color in ((0.0, style.CONTEXT), (0.1, style.OPEN_NEMO)):\n",
    "    u = -v * ramp\n",
    "    t0 = time.perf_counter()\n",
    "    T_rgf = transmission_rgf(E, u)\n",
    "    t_py = (time.perf_counter() - t0) / len(E)\n",
    "    T_lib = tr.transmission(E, potential=u)\n",
    "    ax.semilogy(E, T_lib, color=color, lw=2.5, alpha=0.5, label=f\"nemo.Transport, {v:.1f} V\")\n",
    "    ax.semilogy(E, T_rgf, \"--\", color=\"k\", lw=0.8)\n",
    "    print(\n",
    "        f\"{v:.1f} V: max |T_RGF - T_nemo| = {np.abs(T_rgf - T_lib).max():.1e}, \"\n",
    "        f\"NumPy forward pass {t_py * 1e3:.2f} ms per energy\"\n",
    "    )\n",
    "ax.plot([], [], \"k--\", lw=0.8, label=\"NumPy RGF (forward pass)\")\n",
    "ax.set(xlabel=\"Energy (eV)\", ylabel=\"T(E)\", ylim=(1e-8, 2))\n",
    "ax.legend(fontsize=8);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b603e00",
   "metadata": {},
   "source": [
    "## 5. What the matrix elements mean\n",
    "\n",
    "With the diagonal and the two columns, the local density of states and the left- and right-injected spectral\n",
    "functions follow on every site:\n",
    "\n",
    "$$\n",
    "\\text{LDOS}_i(E) = -\\frac{1}{\\pi}\\operatorname{Im} G^R_{ii}, \\qquad\n",
    "A^L_i = \\Gamma_L |G^R_{i,0}|^2, \\quad A^R_i = \\Gamma_R |G^R_{i,N-1}|^2, \\qquad A^L_i + A^R_i = -2\\operatorname{Im}G^R_{ii}.\n",
    "$$\n",
    "\n",
    "The map shows the LDOS of the unbiased RTD; the line plots the left- and right-injected spectral functions at\n",
    "the first resonance with the 0.1 V drop of lecture 11.1 applied (from 10 to 27 nm)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "d71d2e9a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:01.500592Z",
     "iopub.status.busy": "2026-10-25T17:27:01.500518Z",
     "iopub.status.idle": "2026-10-25T17:27:01.939687Z",
     "shell.execute_reply": "2026-10-25T17:27:01.939300Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sum rule: max |A_L + A_R + 2 Im G_ii| / max(A_L + A_R) = 5.6e-14\n",
      "C1 at 0.1 V: 3.85 meV; in the middle of the well A_R / A_L = 16.6\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1210x440 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Em = np.linspace(0.002, 0.45, 300)\n",
    "ldos = np.array([-rgf_device(e, u0)[0].imag / np.pi for e in Em])\n",
    "u1 = -0.1 * ramp\n",
    "r = nemo.resonances(rtd, potential=u1, emax=0.3)\n",
    "e1 = r[\"energy\"][0]\n",
    "Gd1, c01, cN1, gl1, gr1 = rgf_device(e1, u1)\n",
    "AL, AR = gl1 * np.abs(c01) ** 2, gr1 * np.abs(cN1) ** 2\n",
    "print(\n",
    "    \"sum rule: max |A_L + A_R + 2 Im G_ii| / max(A_L + A_R) = \"\n",
    "    f\"{np.abs(AL + AR + 2 * Gd1.imag).max() / (AL + AR).max():.1e}\"\n",
    ")\n",
    "iw = np.argmin(abs(x - 18.5))\n",
    "print(f\"C1 at 0.1 V: {e1 * 1e3:.2f} meV; in the middle of the well A_R / A_L = {AR[iw] / AL[iw]:.1f}\")\n",
    "\n",
    "fig, axs = plt.subplots(1, 2, figsize=(11, 4))\n",
    "axs[0].pcolormesh(x, Em, np.log10(ldos + 1e-6), cmap=\"viridis\", vmin=-3, shading=\"auto\")\n",
    "axs[0].plot(x, rtd.band_edge, color=\"w\", lw=1)\n",
    "axs[0].set(xlabel=\"Position (nm)\", ylabel=\"Energy (eV)\", title=\"log10 LDOS (1/eV per site), 0 V\")\n",
    "axs[1].semilogy(x, AL, **style.series(lw=2), label=\"A_L: injected from the left\")\n",
    "axs[1].semilogy(x, AR, **style.series(\"reference\"), label=\"A_R: injected from the right\")\n",
    "axs[1].set(\n",
    "    xlabel=\"Position (nm)\",\n",
    "    ylabel=\"spectral function (1/eV per site)\",\n",
    "    title=f\"E = C1 = {e1 * 1e3:.1f} meV, 0.1 V\",\n",
    ")\n",
    "axs[1].legend(fontsize=8);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "caae1aa9",
   "metadata": {},
   "source": [
    "The LDOS map shows the quasi-bound states in the well as bright lines and the standing-wave patterns of the\n",
    "contact states reflected by the barriers. The sum rule holds to round-off. At 0.1 V the resonance C1 lies only\n",
    "3.9 meV above the emitter band edge: electrons arriving from the left have very little kinetic energy there and\n",
    "couple weakly to the well, while from the collector side, more than 0.1 eV above its band edge, the coupling is\n",
    "much stronger, so $A^R$ is 16 times larger than $A^L$ in the well. Which of the two actually holds electrons is\n",
    "decided by the Fermi functions: the collector states at this energy are empty, its Fermi level being 0.1 eV\n",
    "lower, so the charge in the well comes from $A^L f_L$ alone. This is the physics behind the off-diagonal\n",
    "strips of slide 22: the first column of $G^R$ carries what the left contact injects, the last column what the\n",
    "right contact injects, and each is weighted with its own Fermi function.\n",
    "\n",
    "## 6. Cost against the number of sites\n",
    "\n",
    "The following cell times one energy point for chains of increasing length: the dense inverse ($N^3$), the\n",
    "banded (tridiagonal) LU solve for the whole inverse ($N^2$), the NumPy RGF with the full backward pass and\n",
    "with the forward pass only ($N$), and `nemo.Transport`. All timings use one BLAS thread."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "cfac9c25",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:01.940837Z",
     "iopub.status.busy": "2026-10-25T17:27:01.940753Z",
     "iopub.status.idle": "2026-10-25T17:27:02.782281Z",
     "shell.execute_reply": "2026-10-25T17:27:02.781861Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dense inverse               :    0.187     0.771     3.198    17.168   101.294  ms;  slope 2.49\n",
      "banded LU, full inverse     :    0.195     0.787     3.040    12.666    56.949  ms;  slope 2.11\n",
      "RGF, diagonal + column      :    0.085     0.176     0.357     0.727     1.455  ms;  slope 1.01\n",
      "RGF, forward pass only      :    0.039     0.078     0.157     0.323     0.639  ms;  slope 1.01\n",
      "nemo.Transport (per energy) :    0.002     0.003     0.005     0.009     0.018  ms;  slope 0.87\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 715x462 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.linalg import solve_banded\n",
    "\n",
    "sizes = [100, 200, 400, 800, 1600]\n",
    "times = {\n",
    "    \"dense inverse\": [],\n",
    "    \"banded LU, full inverse\": [],\n",
    "    \"RGF, diagonal + column\": [],\n",
    "    \"RGF, forward pass only\": [],\n",
    "    \"nemo.Transport (per energy)\": [],\n",
    "}\n",
    "\n",
    "\n",
    "def best_of(f, k=3):\n",
    "    best = np.inf\n",
    "    for _ in range(k):\n",
    "        t0 = time.perf_counter()\n",
    "        f()\n",
    "        best = min(best, time.perf_counter() - t0)\n",
    "    return best\n",
    "\n",
    "\n",
    "with threadpool_limits(1):\n",
    "    for n in sizes:\n",
    "        chain = nemo.Heterostructure1D([nemo.Layer(gaas, n * 0.05), nemo.Layer(gaas, n * 0.05)], spacing=0.1)\n",
    "        h = chain.hamiltonian.sparse.dense()\n",
    "        e = 0.05\n",
    "        A = (e + 0j) * np.eye(n) - h\n",
    "        A[0, 0] -= chain.lead_self_energy(e, \"left\")\n",
    "        A[-1, -1] -= chain.lead_self_energy(e, \"right\")\n",
    "        ab = np.zeros((3, n), complex)\n",
    "        ab[0, 1:], ab[1], ab[2, :-1] = np.diag(A, 1), np.diag(A), np.diag(A, -1)\n",
    "        dd, tt = np.diag(A).copy(), np.diag(A, 1).copy()\n",
    "        times[\"dense inverse\"].append(best_of(lambda: np.linalg.inv(A)))\n",
    "        times[\"banded LU, full inverse\"].append(best_of(lambda: solve_banded((1, 1), ab, np.eye(n))))\n",
    "        times[\"RGF, diagonal + column\"].append(best_of(lambda: rgf(dd, tt, tt)))\n",
    "        times[\"RGF, forward pass only\"].append(best_of(lambda: rgf(dd, tt, tt, current_only=True)))\n",
    "        trn = nemo.Transport(chain.hamiltonian, num_threads=1)\n",
    "        Es = np.linspace(0.02, 0.2, 200)\n",
    "        times[\"nemo.Transport (per energy)\"].append(best_of(lambda: trn.transmission(Es)) / len(Es))\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(6.5, 4.2))\n",
    "colors = style.sweep(len(times))\n",
    "for (name, tl), c in zip(times.items(), colors):\n",
    "    ax.loglog(sizes, tl, \"o-\", color=c, label=name)\n",
    "    slope = np.polyfit(np.log(sizes[2:]), np.log(tl[2:]), 1)[0]\n",
    "    print(f\"{name:28s}: \" + \"  \".join(f\"{t * 1e3:8.3f}\" for t in tl) + f\"  ms;  slope {slope:.2f}\")\n",
    "ax.set(xlabel=\"number of sites N\", ylabel=\"time per energy (s)\")\n",
    "ax.legend(fontsize=8);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d9dcacd3",
   "metadata": {},
   "source": [
    "The fitted slopes of the log–log curves over the three largest sizes are printed (timings vary by a few\n",
    "per cent from run to run). The dense inverse grows with a slope of about 2.5 (LAPACK is very efficient at these\n",
    "moderate sizes, so the slope is still below the asymptotic 3), the banded LU solve that produces all $N^2$\n",
    "elements with a slope of about 2.1, and both RGF variants linearly. At 1600 sites the dense inverse takes about\n",
    "100 ms per energy and the NumPy forward pass about 0.65 ms, more than 100 times less. The NumPy loop has a large\n",
    "constant cost per site from the Python interpreter; the compiled implementation in `nemo.Transport` needs about\n",
    "0.016 ms per energy at the same size (its slope of about 0.8 still contains a fixed cost per call). The ratio between dense\n",
    "and recursive solutions grows without bound with $N$, which is the payoff the lecture describes: years of\n",
    "computing reduced to seconds.\n",
    "\n",
    "## 7. Block tridiagonal matrices: $O(N B^3)$\n",
    "\n",
    "In a multiband or multi-dimensional model each site (or layer) is a block of size $B$: $D_i$ and $t_{i,i+1}$\n",
    "become $B\\times B$ matrices and the scalar divisions become block inversions. The same code with matrix\n",
    "operations handles, for example, a 2D strip of width $B$ sites on a square lattice (hopping 1 eV, arbitrary\n",
    "units), whose leads are strips of the same width. The lead self-energies come from open-nemo's Sancho–Rubio\n",
    "solver, `nemo.solvers.transport.self_energy`. In a perfect strip the transmission must count the open\n",
    "transverse modes, an integer staircase."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "e68fa8e8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:02.783434Z",
     "iopub.status.busy": "2026-10-25T17:27:02.783332Z",
     "iopub.status.idle": "2026-10-25T17:27:02.934476Z",
     "shell.execute_reply": "2026-10-25T17:27:02.933975Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "max |T - number of open modes| = 2.0e-14\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 660x385 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def rgf_block(Ds, tu, tl):\n",
    "    \"\"\"Block RGF: returns the corner block G_{0,N-1} (current) and the diagonal blocks G_ii.\"\"\"\n",
    "    n = len(Ds)\n",
    "    g = [np.linalg.inv(Ds[0])]\n",
    "    corner = g[0]\n",
    "    for i in range(1, n):\n",
    "        g.append(np.linalg.inv(Ds[i] - tl[i - 1] @ g[i - 1] @ tu[i - 1]))\n",
    "        corner = -corner @ tu[i - 1] @ g[i]\n",
    "    G = [None] * n\n",
    "    G[-1] = g[-1]\n",
    "    for i in range(n - 2, -1, -1):\n",
    "        G[i] = g[i] @ (np.eye(len(g[i])) + tu[i] @ G[i + 1] @ tl[i] @ g[i])\n",
    "    return corner, G\n",
    "\n",
    "\n",
    "def strip(B, n_slabs, e, t=1.0):\n",
    "    h0 = 4 * t * np.eye(B) - t * (np.eye(B, k=1) + np.eye(B, k=-1))\n",
    "    h1 = -t * np.eye(B)\n",
    "    lead = nemo.Lead(h0 + 0j, h1 + 0j)\n",
    "    sl = nemo.solvers.transport.self_energy(lead, e + 1e-9j, \"left\")\n",
    "    sr = nemo.solvers.transport.self_energy(lead, e + 1e-9j, \"right\")\n",
    "    D = [(e + 0j) * np.eye(B) - h0 for _ in range(n_slabs)]\n",
    "    D[0] = D[0] - sl\n",
    "    D[-1] = D[-1] - sr\n",
    "    off = [-h1 + 0j for _ in range(n_slabs - 1)]\n",
    "    return D, off, sl, sr\n",
    "\n",
    "\n",
    "B = 10\n",
    "Es = np.linspace(0.05, 2.0, 120)\n",
    "Tstrip = []\n",
    "for e in Es:\n",
    "    D, off, sl, sr = strip(B, 30, e)\n",
    "    corner, _ = rgf_block(D, off, off)\n",
    "    gL, gR = 1j * (sl - sl.conj().T), 1j * (sr - sr.conj().T)\n",
    "    Tstrip.append(np.trace(gL @ corner @ gR @ corner.conj().T).real)\n",
    "modes = [np.sum(e > 2 - 2 * np.cos(np.pi * np.arange(1, B + 1) / (B + 1))) for e in Es]\n",
    "print(f\"max |T - number of open modes| = {np.max(np.abs(np.array(Tstrip) - modes)):.1e}\")\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(6, 3.5))\n",
    "ax.plot(Es, Tstrip, color=style.OPEN_NEMO, lw=2, label=\"block RGF\")\n",
    "ax.step(Es, modes, \"k--\", lw=0.8, where=\"mid\", label=\"open transverse modes\")\n",
    "ax.set(xlabel=\"Energy (eV)\", ylabel=\"T(E)\", title=f\"perfect strip, width B = {B}\")\n",
    "ax.legend(fontsize=8);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2a1a5b91",
   "metadata": {},
   "source": [
    "The cost of the block recursion is $N$ block inversions and multiplications of $B\\times B$ matrices,\n",
    "$O(N B^3)$, against $O((NB)^3)$ for a dense inversion of the whole matrix of order $NB$. The timing below\n",
    "uses 40 slabs and widths from 5 to 80."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "5214205f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:27:02.935494Z",
     "iopub.status.busy": "2026-10-25T17:27:02.935420Z",
     "iopub.status.idle": "2026-10-25T17:27:06.344722Z",
     "shell.execute_reply": "2026-10-25T17:27:06.344359Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B =  5: matrix order   200, max |G_ii(block RGF) - dense| = 6.8e-16, block RGF    0.37 ms, dense     0.77 ms\n",
      "B = 10: matrix order   400, max |G_ii(block RGF) - dense| = 1.0e-15, block RGF    0.46 ms, dense     3.23 ms\n",
      "B = 20: matrix order   800, max |G_ii(block RGF) - dense| = 1.4e-15, block RGF    1.01 ms, dense    17.56 ms\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B = 40: matrix order  1600, max |G_ii(block RGF) - dense| = 1.7e-15, block RGF    2.89 ms, dense   101.78 ms\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "B = 80: matrix order  3200, max |G_ii(block RGF) - dense| = 2.1e-15, block RGF   10.93 ms, dense   681.91 ms\n",
      "block RGF    : log-log slope against B between B = 40 and 80: 1.92\n",
      "dense inverse: log-log slope against B between B = 40 and 80: 2.74\n"
     ]
    }
   ],
   "source": [
    "n_slabs, e = 40, 0.5\n",
    "widths = [5, 10, 20, 40, 80]\n",
    "t_blk, t_den = [], []\n",
    "with threadpool_limits(1):\n",
    "    for B in widths:\n",
    "        D, off, sl, sr = strip(B, n_slabs, e)\n",
    "        Afull = np.zeros((n_slabs * B, n_slabs * B), complex)\n",
    "        for i in range(n_slabs):\n",
    "            Afull[i * B : (i + 1) * B, i * B : (i + 1) * B] = D[i]\n",
    "            if i < n_slabs - 1:\n",
    "                Afull[i * B : (i + 1) * B, (i + 1) * B : (i + 2) * B] = off[i]\n",
    "                Afull[(i + 1) * B : (i + 2) * B, i * B : (i + 1) * B] = off[i]\n",
    "        corner, Gblk = rgf_block(D, off, off)\n",
    "        Ginv = np.linalg.inv(Afull)\n",
    "        err = max(\n",
    "            np.abs(Gblk[i] - Ginv[i * B : (i + 1) * B, i * B : (i + 1) * B]).max() for i in range(n_slabs)\n",
    "        )\n",
    "        t_blk.append(best_of(lambda: rgf_block(D, off, off)))\n",
    "        t_den.append(best_of(lambda: np.linalg.inv(Afull)))\n",
    "        print(\n",
    "            f\"B = {B:2d}: matrix order {n_slabs * B:5d}, max |G_ii(block RGF) - dense| = {err:.1e}, \"\n",
    "            f\"block RGF {t_blk[-1] * 1e3:7.2f} ms, dense {t_den[-1] * 1e3:8.2f} ms\"\n",
    "        )\n",
    "for name, tl in ((\"block RGF\", t_blk), (\"dense inverse\", t_den)):\n",
    "    print(\n",
    "        f\"{name:13s}: log-log slope against B between B = 40 and 80: \"\n",
    "        f\"{np.log(tl[-1] / tl[-2]) / np.log(2):.2f}\"\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bf18dc53",
   "metadata": {},
   "source": [
    "Both methods give the same diagonal blocks to round-off. At small $B$ the block recursion is dominated by\n",
    "Python overhead per slab, so its time hardly grows; at large $B$ the block operations dominate and the growth\n",
    "steepens (a slope of about 2 between $B = 40$ and 80, where optimised small-matrix BLAS still hides part of the\n",
    "$B^3$), while the dense inverse grows with a slope near 2.8 and at $B = 80$ is about 60 times slower. In\n",
    "operation count the dense inversion of the order-$NB$ matrix is $N^2 = 40^2$ times more expensive than the\n",
    "$N$ block inversions. This is the $O(N B^3)$ scaling of slide 35, and the reason the lecture names the forward\n",
    "recursion, which contains the block inversions, as the bottleneck.\n",
    "\n",
    "## 8. Scattering fills the matrix\n",
    "\n",
    "Everything above relied on $E - H - \\Sigma$ being (block) tridiagonal. A boundary self-energy only touches\n",
    "the two end blocks. Incoherent scattering adds $\\Sigma^R_\\text{scatt} = D \\times G^R$: if the scattering is\n",
    "local (an interaction that only couples a site to itself, such as a deformation-potential or Büttiker-probe\n",
    "model), $\\Sigma_\\text{scatt}$ is diagonal and the recursions still apply, inside a self-consistent loop. A\n",
    "non-local interaction, in which an electron on one site feels a lattice vibration or a charge further away\n",
    "(polar optical phonons, Coulomb scattering), couples distant sites, makes $\\Sigma_\\text{scatt}$ and therefore\n",
    "$E - H - \\Sigma$ full, and the recursive algorithm loses its advantage. Practical codes then restrict the full\n",
    "treatment to a small central region, which is the strategy of the NEMO \"central region with reservoirs\"\n",
    "partitioning used in lectures 11.3 and 13."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7aa51133",
   "metadata": {},
   "source": [
    "![Slide 44: the recursion for off-diagonal blocks of the Green function](attachment:slide_044.png)\n",
    "\n",
    "*Slide 44. General expressions for off-diagonal blocks: starting from the diagonal, each step multiplies by a\n",
    "left-connected (upper part) or right-connected (lower part) Green function and a hopping block,\n",
    "$G_{i,j} = -g^{LR}_{i,i} t_{i,i+1} G_{i+1,j}$, so that any needed element can be reached without inverting\n",
    "the full matrix.*"
   ],
   "attachments": {
    "slide_044.png": {
     "image/png": 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"
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    "## Summary\n",
    "\n",
    "- NEGF needs the retarded Green function $G^R = (E - H - \\Sigma^R)^{-1}$ (the states) and the lesser Green\n",
    "  function $G^< = G^R \\Sigma^< G^{R\\dagger}$ (their occupation). The leads enter through boundary\n",
    "  self-energies on the first and last site, computed from left- and right-connected lead Green functions.\n",
    "- $E - H - \\Sigma$ is tridiagonal but $G^R$ is full. A full inversion costs $N^3$ operations, a tridiagonal\n",
    "  LU for the whole inverse $N^2$, and the recursive algorithm $N$ (for blocks of size $B$: $N B^3$).\n",
    "- The current needs a single element $G^R_{0,N-1}$, available after the forward pass; the charge needs the\n",
    "  diagonal (equilibrium reservoirs) and the first and last columns (non-equilibrium region).\n",
    "- The forward recursion builds left-connected Green functions, the backward recursion the diagonal of $G^R$,\n",
    "  and a further recursion walks to off-diagonal elements. In the NumPy implementation here all elements agree\n",
    "  with the dense inverse to round-off and the transmission agrees with `nemo.Transport`.\n",
    "- Local scattering keeps the matrix tridiagonal; non-local scattering fills it and requires full-matrix\n",
    "  methods on a reduced central region.\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Modify `rgf` to return the nearest off-diagonal elements $G^R_{i,i+1}$ and use them to compute the\n",
    "   current density between sites $i$ and $i+1$ at the resonance energy. Check that it is the same on every\n",
    "   bond (current conservation).\n",
    "2. Integrate $A^L_i f_L + A^R_i f_R$ over energy at 0.1 V and 77 K to obtain the electron density along the\n",
    "   RTD, and compare it with the semiclassical density of the contacts.\n",
    "3. Time `rgf` and `rgf_block` with `B = 1` for the same chain. How much of the per-site cost is Python overhead,\n",
    "   and how would you reduce it?\n",
    "4. Add a constant imaginary part $-i\\eta$ to all $D_i$ (a crude local scattering model, $\\eta = 1$ meV) and\n",
    "   check that the RGF still agrees with the dense inverse. What happens to the sum rule\n",
    "   $A^L + A^R = -2\\operatorname{Im} G^R_{ii}$, and why?\n",
    "\n",
    "## Further reading\n",
    "\n",
    "- [Lecture 11.5: asymmetric RTDs](11_5_asymmetric_rtds.ipynb)\n",
    "- [Lecture 13: incoherent scattering in RTDs](13_0_incoherent_scattering_in_rtds.ipynb)\n",
    "- [Green functions from scratch: self-energies, transmission and RGF timing](../../book/04_resonant_tunneling_diodes/04_01_open_systems_and_wells/04_01_01_greens_functions_from_scratch.ipynb)\n",
    "- [Bound states in open devices](../../book/04_resonant_tunneling_diodes/04_01_open_systems_and_wells/04_01_02_bound_states_in_open_devices.ipynb)\n",
    "- [Lake et al. 1997: multiband NEGF for RTDs](../../book/15_benchmarks/15_08_literature/15_08_03_heterostructures_and_rtds/15_08_03_02_lake1997_multiband_negf.ipynb)\n",
    "- Lecture slides 2–48, in particular slides 26–36 (the recursions step by step) and slide 47 (equation summary).\n",
    "- R. Lake, G. Klimeck, R. C. Bowen and D. Jovanovic, J. Appl. Phys. **81**, 7845 (1997).\n",
    "- M. P. Lopez Sancho, J. M. Lopez Sancho and J. Rubio, J. Phys. F **15**, 851 (1985).\n",
    "- S. Datta, *Quantum Transport: Atom to Transistor* (Cambridge University Press, 2005)."
   ]
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