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    "# Lecture 21.6: NEMO 3-D — validation: does it work?\n",
    "\n",
    "*From* [Nanoelectronic Modeling — From Atoms to Devices](https://nanohub.org/resources/45001),\n",
    "*Gerhard Klimeck, Purdue University. Lecture page:* [nanoHUB resource 45242](https://nanohub.org/resources/45242)\n",
    "— [video](https://nanohub.org/resources/45276) · [slides](https://nanohub.org/resources/45275)\n",
    "\n",
    "**In this lecture**\n",
    "\n",
    "- The wanted states of a quantum dot, the ground state and the first excited states, are some 10 meV\n",
    "  apart, in a spectrum about 40 eV wide with millions of states: they are interior eigenvalues.\n",
    "- A first test of the Lanczos solver: the same dot computed in domains of 0.3, 6.7 and 21 million\n",
    "  atoms (lateral sizes from 11.3 to 101.7 nm) gives the same ground and excited states, with the\n",
    "  right symmetry.\n",
    "- NEMO 3-D's capabilities: 52 million atoms, $(101\\ \\text{nm})^3$, computed end to end; zincblende and\n",
    "  wurtzite crystals, valence force field strain, piezoelectric potentials, empirical tight binding.\n",
    "- Applications discussed in the following lectures: InAlGaAs/GaAs dots, valley splitting in\n",
    "  silicon, alloy disorder, single impurities in silicon.\n",
    "\n",
    "**In this notebook**\n",
    "\n",
    "- Estimate how far inside the spectrum the dot states of an InAs dot in GaAs lie.\n",
    "- Repeat the test of slide 3 with open-nemo: one InAs pyramid in GaAs boxes of four sizes, from\n",
    "  20,480 to 118,976 atoms, and compare the energies and wavefunctions of the lowest electron states."
   ]
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   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import time\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import opennemo as nemo\n",
    "from opennemo.visualization import style\n",
    "from opennemo.structures.structure import Structure\n",
    "from opennemo.solvers.eigen import lanczos_window_eigenstates\n",
    "\n",
    "style.use(notebook=True)"
   ]
  },
  {
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   "metadata": {},
   "source": [
    "## 1. Interior eigenstates\n",
    "\n",
    "![Slide 2: a few dot states inside a spectrum of millions](attachment:slide_002_crop.png)\n",
    "\n",
    "*Slide 2: the electron states S and P of a dot, about 10 meV apart, inside a band of $N$ states\n",
    "($N \\approx 2$ million) and a total spectrum about 40 eV wide.*\n",
    "\n",
    "The dot below is an InAs square pyramid, base 8 nm and height 3.5 nm, in GaAs, in the sp3s\\* basis\n",
    "(5 orbitals per atom). To keep the test about the eigensolver, the atoms sit on the ideal GaAs\n",
    "lattice: no relaxation and no strain (lectures 21.1–21.2 add them). The box is periodic, so the dot\n",
    "also sees its periodic images; the largest box has 26 × 26 × 22 cubic cells."
   ],
   "attachments": {
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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b404ed32",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:44:52.382455Z",
     "iopub.status.busy": "2026-10-24T22:44:52.382363Z",
     "iopub.status.idle": "2026-10-24T22:44:53.716592Z",
     "shell.execute_reply": "2026-10-24T22:44:53.716226Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "smallest box: 20480 atoms, H of order 102400, spectrum -13.00 to 12.75 eV (25.8 eV wide)\n",
      "mean level spacing 0.25 meV; GaAs conduction-band edge of this model 1.4173 eV\n",
      "valence states (4 of the 10 per Ga-As pair) below the dot states: 40960 of 102400; above: 61440\n"
     ]
    }
   ],
   "source": [
    "mats = nemo.structures.materials.load(\"klimeck2002_sp3s\")\n",
    "GAAS, INAS = mats[\"GaAs\"], mats[\"InAs\"]\n",
    "lat = nemo.structures.lattice.from_material(GAAS)\n",
    "a = GAAS.lattice_constant\n",
    "DOT = nemo.structures.materials.alloy(GAAS, INAS)\n",
    "BASE, HEIGHT = 8.0, 3.5\n",
    "\n",
    "\n",
    "def dot_in_box(nxy, nz):\n",
    "    # GaAs box of nxy x nxy x nz cubic cells with an InAs pyramid in its centre (ideal positions)\n",
    "    cell, basis, sub = lat.conventional, lat.conventional_basis, lat.conventional_sublattice\n",
    "    g = np.stack(np.meshgrid(np.arange(nxy), np.arange(nxy), np.arange(nz), indexing=\"ij\"), -1).reshape(-1, 3)\n",
    "    X = ((g @ cell)[:, None, :] + basis[None]).reshape(-1, 3)\n",
    "    sublat = np.tile(sub, len(g))\n",
    "    species = np.array([lat.species[i] for i in sublat], dtype=object)\n",
    "    c0 = np.array([nxy * a / 2, nxy * a / 2, nz * a / 2 - HEIGHT / 2])     # centre of the base\n",
    "    zr = X[:, 2] - c0[2]\n",
    "    half = BASE / 2 * (1 - zr / HEIGHT)\n",
    "    inside = ((zr >= 0) & (zr <= HEIGHT)\n",
    "              & (np.abs(X[:, 0] - c0[0]) <= half) & (np.abs(X[:, 1] - c0[1]) <= half))\n",
    "    species[inside & (species == \"Ga\")] = \"In\"\n",
    "    s = Structure(X, list(species), np.diag([nxy * a, nxy * a, nz * a]), sublat, lat)\n",
    "    return s, c0\n",
    "\n",
    "\n",
    "def hamiltonian(s):\n",
    "    # unrelaxed In-As bonds are 7 % shorter than InAs's own: widen the bond window to accept them\n",
    "    return nemo.models.tb.SlaterKoster(DOT, spin=False, bond_tolerance=0.15).build(s).at(np.zeros(3))\n",
    "\n",
    "\n",
    "s, c0 = dot_in_box(16, 10)\n",
    "H = hamiltonian(s)\n",
    "\n",
    "\n",
    "def spectrum_edges(H, k=300, seed=0):\n",
    "    # the extreme Ritz values of a short Lanczos run converge first (lecture 21.4)\n",
    "    q = np.random.default_rng(seed).standard_normal(H.shape[0]) + 0j\n",
    "    q /= np.linalg.norm(q)\n",
    "    q_prev, b_prev, al, be = np.zeros_like(q), 0.0, [], []\n",
    "    for _ in range(k):\n",
    "        w = H @ q\n",
    "        al.append(np.vdot(q, w).real)\n",
    "        f = w - al[-1] * q - b_prev * q_prev\n",
    "        be.append(np.linalg.norm(f))\n",
    "        q_prev, q, b_prev = q, f / be[-1], be[-1]\n",
    "    t = np.linalg.eigvalsh(np.diag(al) + np.diag(be[:-1], 1) + np.diag(be[:-1], -1))\n",
    "    return t[0], t[-1]\n",
    "\n",
    "\n",
    "lo, hi = spectrum_edges(H)\n",
    "e_bulk = np.linalg.eigvalsh(nemo.models.tb.SlaterKoster(GAAS).build(nemo.structures.structure.bulk(lat))\n",
    "                            .dense(np.zeros(3)))\n",
    "ec_gaas = e_bulk[e_bulk > 0.5].min()\n",
    "print(f\"smallest box: {s.num_atoms} atoms, H of order {H.shape[0]}, \"\n",
    "      f\"spectrum {lo:.2f} to {hi:.2f} eV ({hi - lo:.1f} eV wide)\")\n",
    "print(f\"mean level spacing {(hi - lo) / H.shape[0] * 1e3:.2f} meV; \"\n",
    "      f\"GaAs conduction-band edge of this model {ec_gaas:.4f} eV\")\n",
    "print(f\"valence states (4 of the 10 per Ga-As pair) below the dot states: {2 * s.num_atoms} \"\n",
    "      f\"of {H.shape[0]}; above: {H.shape[0] - 2 * s.num_atoms}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dcaa2bdc",
   "metadata": {},
   "source": [
    "The spectrum of even the smallest box is about 26 eV wide in the sp3s\\* basis, from −13.0 to\n",
    "12.75 eV (sp3d5s\\* adds higher levels and reaches the 40 eV of the slide), with on average one level\n",
    "every 0.25 meV. The dot's electron states lie inside it, just below the GaAs conduction-band edge:\n",
    "40,960 of the 102,400 states lie below them and 61,440 above:\n",
    "this is why the Lanczos solver of lecture 21.4 runs until the interior Ritz values converge instead\n",
    "of stopping at the extremes.\n",
    "\n",
    "## 2. The same dot in larger domains\n",
    "\n",
    "![Slide 3: the same states in domains of 0.3, 6.7 and 21 million atoms](attachment:slide_003_crop.png)\n",
    "\n",
    "*Slide 3: a lens-shaped dot on a wetting layer in domains of increasing size (lateral 11.3 to\n",
    "101.7 nm); the ground state and the first two excited states have the same shape and symmetry in all\n",
    "of them.*\n",
    "\n",
    "We now put the same pyramid into four boxes, from 16 × 16 × 10 to 26 × 26 × 22 cubic cells, and ask\n",
    "the open-nemo Lanczos solver for the levels between 0.5 eV and 1.40 eV, i.e. below the GaAs\n",
    "conduction-band edge."
   ],
   "attachments": {
    "slide_003_crop.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "4abee41d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:44:53.717789Z",
     "iopub.status.busy": "2026-10-24T22:44:53.717712Z",
     "iopub.status.idle": "2026-10-24T22:45:54.054818Z",
     "shell.execute_reply": "2026-10-24T22:45:54.054354Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "16 x 16 x 10 cells ( 9.07 x  9.07 x  5.67 nm),  20480 atoms: 1400 steps,   4.3 s; levels 1.0746, 1.3055, 1.3071 eV; weight on In 0.41, 0.40, 0.40\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "19 x 19 x 14 cells (10.77 x 10.77 x  7.93 nm),  40432 atoms: 1400 steps,   8.4 s; levels 1.1051, 1.2986, 1.3001 eV; weight on In 0.42, 0.38, 0.38\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "22 x 22 x 18 cells (12.47 x 12.47 x 10.20 nm),  69696 atoms: 1600 steps,  15.9 s; levels 1.1144, 1.2940, 1.2955 eV; weight on In 0.44, 0.36, 0.36\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "26 x 26 x 22 cells (14.73 x 14.73 x 12.47 nm), 118976 atoms: 2000 steps,  31.8 s; levels 1.1175, 1.2904, 1.2918 eV; weight on In 0.45, 0.35, 0.35\n"
     ]
    }
   ],
   "source": [
    "boxes = [(16, 10), (19, 14), (22, 18), (26, 22)]\n",
    "results = []\n",
    "for nxy, nz in boxes:\n",
    "    t0 = time.perf_counter()\n",
    "    s, c0 = dot_in_box(nxy, nz)\n",
    "    H = hamiltonian(s)\n",
    "    res = lanczos_window_eigenstates(H, (0.5, 1.40), tol=1e-8, count=3)\n",
    "    dt = time.perf_counter() - t0\n",
    "    order = np.argsort(res[\"energies\"])\n",
    "    E, V = np.asarray(res[\"energies\"])[order], np.asarray(res[\"vectors\"])[:, order]\n",
    "    rho = (np.abs(V)**2).reshape(s.num_atoms, 5, -1).sum(1)          # probability per atom\n",
    "    on_in = np.array(s.species) == \"In\"\n",
    "    results.append(dict(n=(nxy, nz), atoms=s.num_atoms, X=np.asarray(s.positions) - c0, E=E, rho=rho,\n",
    "                        w_in=rho[on_in].sum(0), steps=res.attrs[\"steps\"], time=dt))\n",
    "    print(f\"{nxy:2d} x {nxy:2d} x {nz:2d} cells ({nxy * a:5.2f} x {nxy * a:5.2f} x {nz * a:5.2f} nm), \"\n",
    "          f\"{s.num_atoms:6d} atoms: {res.attrs['steps']:4d} steps, {dt:5.1f} s; levels \"\n",
    "          + \", \".join(f\"{e:.4f}\" for e in E) + \" eV; weight on In \"\n",
    "          + \", \".join(f\"{w:.2f}\" for w in rho[on_in].sum(0)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6867bac1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:45:54.056061Z",
     "iopub.status.busy": "2026-10-24T22:45:54.055968Z",
     "iopub.status.idle": "2026-10-24T22:45:54.227336Z",
     "shell.execute_reply": "2026-10-24T22:45:54.226953Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1320x990 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nst = min(len(r[\"E\"]) for r in results)\n",
    "fig, axes = plt.subplots(nst, len(results), figsize=(3 * len(results), 3 * nst), squeeze=False)\n",
    "half = 26 * a / 2\n",
    "edges = np.arange(-half, half + 1e-9, a / 2)\n",
    "for j, r in enumerate(results):\n",
    "    for i in range(nst):\n",
    "        ax = axes[i, j]\n",
    "        img, _, _ = np.histogram2d(r[\"X\"][:, 0], r[\"X\"][:, 1], bins=[edges, edges], weights=r[\"rho\"][:, i])\n",
    "        ax.imshow(img.T, origin=\"lower\", extent=(-half, half, -half, half), cmap=\"magma\")\n",
    "        w = r[\"n\"][0] * a / 2\n",
    "        ax.plot([-w, w, w, -w, -w], [-w, -w, w, w, -w], color=\"w\", lw=0.8)\n",
    "        ax.set_xticks([]), ax.set_yticks([])\n",
    "        if i == 0:\n",
    "            ax.set_title(f\"{r['atoms']:,} atoms\\n{2 * w:.1f} nm box\", fontsize=9)\n",
    "        ax.text(-half + 0.5, half - 1.5, f\"{r['E'][i]:.4f} eV\", color=\"w\", fontsize=8)\n",
    "for i, name in enumerate((\"ground state\", \"first excited\", \"second excited\")[:nst]):\n",
    "    axes[i, 0].set_ylabel(name)\n",
    "fig.suptitle(f\"|psi|^2 summed over z, same {2 * half:.1f} nm field of view; white: the box\", fontsize=10)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "91439c66",
   "metadata": {},
   "source": [
    "The three lowest electron states are found in all four domains, with the same shape: an s-like\n",
    "ground state centred in the pyramid and two p-like states, 1.5 meV apart, with their lobes along the\n",
    "two diagonals of the base, the [110] and [1-10] directions that the zincblende lattice distinguishes.\n",
    "Their energies change from box to box, though, and in opposite directions:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "d3533258",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:45:54.228372Z",
     "iopub.status.busy": "2026-10-24T22:45:54.228283Z",
     "iopub.status.idle": "2026-10-24T22:45:54.298949Z",
     "shell.execute_reply": "2026-10-24T22:45:54.298572Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ground state  : 1.0746, 1.1051, 1.1144, 1.1175 eV; change between the two largest boxes 3.1 meV\n",
      "first excited : 1.3055, 1.2986, 1.2940, 1.2904 eV; change between the two largest boxes -3.6 meV\n",
      "second excited: 1.3071, 1.3001, 1.2955, 1.2918 eV; change between the two largest boxes -3.7 meV\n",
      " 20480 atoms: barrier between dot and image  1.07 nm laterally,  2.17 nm vertically\n",
      " 40432 atoms: barrier between dot and image  2.77 nm laterally,  4.43 nm vertically\n",
      " 69696 atoms: barrier between dot and image  4.47 nm laterally,  6.70 nm vertically\n",
      "118976 atoms: barrier between dot and image  6.73 nm laterally,  8.97 nm vertically\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 660x440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "L = np.array([r[\"n\"][0] * a for r in results])\n",
    "fig, ax = plt.subplots(figsize=(6, 4))\n",
    "for i, (c, name) in enumerate(zip(style.sweep(nst), (\"ground state\", \"first excited\", \"second excited\"))):\n",
    "    E = np.array([r[\"E\"][i] for r in results])\n",
    "    ax.plot(L, E * 1e3 - E[-1] * 1e3, \"o-\", color=c, label=name)\n",
    "    print(f\"{name:14s}: \" + \", \".join(f\"{e:.4f}\" for e in E) + \" eV; change between the two largest boxes \"\n",
    "          f\"{(E[-1] - E[-2]) * 1e3:.1f} meV\")\n",
    "ax.axhline(0, color=style.CONTEXT, lw=0.8)\n",
    "ax.set(xlabel=\"lateral box size (nm)\", ylabel=\"E − E(largest box) (meV)\",\n",
    "       title=\"convergence with the buffer size\")\n",
    "ax.legend(frameon=False)\n",
    "fig.tight_layout()\n",
    "for r in results:\n",
    "    print(f\"{r['atoms']:6d} atoms: barrier between dot and image {r['n'][0] * a - BASE:5.2f} nm laterally, \"\n",
    "          f\"{r['n'][1] * a - HEIGHT:5.2f} nm vertically\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4f9e0da3",
   "metadata": {},
   "source": [
    "In the smallest box the ground state lies 42.9 meV below its value in the largest one, and the\n",
    "p states 15 meV above. The box is periodic, so the dot is one of a lattice of dots separated by only\n",
    "1.07 nm of GaAs laterally and 2.17 nm vertically. At $\\mathbf{k} = 0$ the s states of neighbouring dots\n",
    "combine in phase, a bonding combination lowered by the tunnelling between them; the p states, odd\n",
    "along their lobes, combine with the opposite sign across the barrier and are raised. As the buffer\n",
    "grows the coupling decays exponentially, and between the two largest boxes, 4.47 and 6.73 nm of GaAs\n",
    "between dots laterally, the levels move by 3.1 meV (s) and 3.6 meV (p). The test therefore checks two\n",
    "things: the solver extracts the same interior states however large $H$ is (here up to 594,880 rows),\n",
    "and the buffer must be thick enough for the states to be those of an isolated dot. NEMO 3-D's domains\n",
    "of millions of atoms are large for the second reason too; in a real dot the strain field, which decays\n",
    "more slowly than the wavefunction, sets the size of the mechanical domain (lecture 21.1).\n",
    "\n",
    "## 3. What NEMO 3-D can do\n",
    "\n",
    "![Slide 4: NEMO 3-D capabilities](attachment:slide_004_crop.png)\n",
    "\n",
    "*Slide 4: from atomic orbitals and millions of atoms to the states of artificial atoms and observable\n",
    "quantities; end-to-end wall time grows linearly with the number of atoms, up to 52 million atoms on\n",
    "128 cores in about 33 hours.*\n",
    "\n",
    "The time per box above also grows with the number of atoms, a little faster than linearly because\n",
    "the number of Lanczos steps rises with the density of states:"
   ],
   "attachments": {
    "slide_004_crop.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "03c4890c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:45:54.299947Z",
     "iopub.status.busy": "2026-10-24T22:45:54.299880Z",
     "iopub.status.idle": "2026-10-24T22:45:54.301917Z",
     "shell.execute_reply": "2026-10-24T22:45:54.301554Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 20480 atoms: 1400 Lanczos steps,   4.3 s, 210.0 us per atom\n",
      " 40432 atoms: 1400 Lanczos steps,   8.4 s, 207.4 us per atom\n",
      " 69696 atoms: 1600 Lanczos steps,  15.9 s, 227.6 us per atom\n",
      "118976 atoms: 2000 Lanczos steps,  31.8 s, 266.9 us per atom\n"
     ]
    }
   ],
   "source": [
    "for r in results:\n",
    "    print(f\"{r['atoms']:6d} atoms: {r['steps']:4d} Lanczos steps, {r['time']:5.1f} s, \"\n",
    "          f\"{r['time'] / r['atoms'] * 1e6:5.1f} us per atom\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "307324a4",
   "metadata": {},
   "source": [
    "The open-nemo counterparts of the capabilities on slide 4 are spread through this book: arbitrary\n",
    "zincblende and wurtzite structures (chapter 2), valence force field strain (lecture 21.2),\n",
    "piezoelectric potentials, empirical tight binding in several bases, and the applications listed on\n",
    "the slide, from InAs/GaAs dots to valley splitting and donors in silicon.\n",
    "\n",
    "## Summary\n",
    "\n",
    "- Dot states are interior eigenvalues: a few states below the GaAs conduction-band edge inside a\n",
    "  spectrum about 26 eV wide (sp3s\\*) with 100,000 levels or more.\n",
    "- The same InAs pyramid in four periodic GaAs boxes, from 20,480 to 118,976 atoms, gives the same\n",
    "  s-like ground state and pair of p-like states, extracted by the Lanczos solver in each case.\n",
    "- The energies converge as the buffer grows, the s level from below (42.9 meV low in the smallest box)\n",
    "  and the p levels from above, because the dot couples to its periodic images through thin buffers;\n",
    "  between the two largest boxes they still move by 3–4 meV.\n",
    "- NEMO 3-D carried the same test to 21 million atoms and end-to-end calculations to 52 million.\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Remove the periodic boundary conditions in $x$ and $y$ (passivate the surfaces instead) and repeat\n",
    "   the convergence test. Does the ground state approach its limit from above or from below now?\n",
    "2. Compute the Bloch phase dependence: evaluate $H$ at $\\mathbf{k} = (\\pi/L, 0, 0)$ for the smallest\n",
    "   box. The width of the resulting miniband estimates the tunnel coupling between dots.\n",
    "3. Add the Keating relaxation and the strained Hamiltonian of lecture 21.1 for the 19 × 19 × 14 box.\n",
    "   How much do strain and the shorter In–As bonds move the levels compared with this unstrained test?\n",
    "\n",
    "## Further reading\n",
    "\n",
    "- [Strained InAs/GaAs dot](../../book/07_quantum_dots/07_01_dot_levels_and_strain/07_01_04_strained_inas_gaas_dot.ipynb)\n",
    "  and [dots in films and wires](../../book/07_quantum_dots/07_01_dot_levels_and_strain/07_01_03_dots_in_films_and_wires.ipynb).\n",
    "- [Klimeck et al. 2002, NEMO 3-D](../../book/15_benchmarks/15_03_nemo3d/15_03_01_klimeck2002_nemo3d.ipynb),\n",
    "  [Usman et al. 2009 dot](../../book/15_benchmarks/15_03_nemo3d/15_03_02_usman2009_dot.ipynb) and\n",
    "  [dot strain profiles](../../book/15_benchmarks/15_03_nemo3d/15_03_03_dot_strain_profiles.ipynb).\n",
    "- [Donors in silicon](../../book/07_quantum_dots/07_02_donors_in_silicon/07_02_01_donors_in_silicon.ipynb).\n",
    "- Previous: [parallel computing](21_5_parallel_computing.ipynb); next section:\n",
    "  [optical matrix elements](../08_optical_matrix_elements/22_1_dipole_matrix_element.ipynb).\n",
    "- G. Klimeck, F. Oyafuso, T. B. Boykin, R. C. Bowen, P. von Allmen, *CMES* **3**, 601 (2002).\n",
    "- G. Klimeck, S. S. Ahmed, H. Bae, N. Kharche, S. Clark, B. Haley, S. Lee, M. Naumov, H. Ryu, F. Saied,\n",
    "  M. Prada, M. Korkusinski, T. B. Boykin, R. Rahman, *IEEE Trans. Electron Devices* **54**, 2079 (2007);\n",
    "  G. Klimeck et al., *ibid.* **54**, 2090 (2007)."
   ]
  }
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