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    "# Lecture 21.2: NEMO 3-D — strain: balls and springs\n",
    "\n",
    "*From* [Nanoelectronic Modeling — From Atoms to Devices](https://nanohub.org/resources/45001),\n",
    "*Gerhard Klimeck, Purdue University. Lecture page:* [nanoHUB resource 45238](https://nanohub.org/resources/45238)\n",
    "— [video](https://nanohub.org/resources/45264) · [slides](https://nanohub.org/resources/45263)\n",
    "\n",
    "**In this lecture**\n",
    "\n",
    "- An epitaxial layer on a substrate of a different lattice constant deforms: InAs on GaAs is\n",
    "  compressed in the plane and stretches along the growth direction.\n",
    "- The valence force field (VFF): atoms are balls, bonds are springs, with an energy\n",
    "  $E = \\sum_\\text{bonds}\\frac12\\alpha(\\Delta d)^2 + \\sum_\\text{angles}\\frac12\\beta(\\Delta\\theta)^2$.\n",
    "- NEMO 3-D places every atom on an ideal site and minimizes this energy over all positions; the\n",
    "  strain tensor is an **output** of the relaxed positions, not an input.\n",
    "- How strain moves band edges (deformation potentials) and splits heavy and light holes.\n",
    "- How shear strain creates a piezoelectric polarization, a bound charge and a potential.\n",
    "\n",
    "**In this notebook**\n",
    "\n",
    "- Compute the elastic constants of Keating's force field and compare them with its closed-form\n",
    "  expressions and with measured values.\n",
    "- Relax a pseudomorphic InAs film with open-nemo's valence force field and compare its vertical\n",
    "  lattice constant with the continuum formula $a_\\perp = a_0 - 2(C_{12}/C_{11})(a_s - a_0)$, over a range\n",
    "  of mismatches.\n",
    "- Shift the band edges of strained InAs with the deformation potentials of the slide and with\n",
    "  strained sp3d5s\\* tight binding.\n",
    "- Compute the piezoelectric potential of a small strained InAs pyramid in GaAs."
   ]
  },
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   "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.models import mechanics as M\n",
    "from opennemo.models import polarization as pz\n",
    "from opennemo.simulations.piezoelectric import polarization_potential\n",
    "from opennemo.structures.structure import Structure, bulk\n",
    "\n",
    "style.use(notebook=True)\n",
    "P = nemo.structures.materials.load(\"klimeck2002_sp3d5s\")\n",
    "GAAS, INAS = P[\"GaAs\"], P[\"InAs\"]\n",
    "aG, aI = GAAS.lattice_constant, INAS.lattice_constant\n",
    "# Martin's (1970) Keating constants alpha, beta (N/m) with the ideal bonds of this parameter set\n",
    "KEATING = {(\"Ga\", \"As\"): (41.19, 8.95, np.sqrt(3) / 4 * aG),\n",
    "           (\"In\", \"As\"): (35.18, 5.50, np.sqrt(3) / 4 * aI)}\n",
    "keating = lambda s: M.Keating(s, parameters=KEATING)"
   ]
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   "source": [
    "## 1. Lattice mismatch: an epitaxial layer deforms\n",
    "\n",
    "GaAs and InAs have the same zincblende structure, but InAs has a 7 % larger lattice constant\n",
    "($a_0$ = 0.6058 nm against $a_s$ = 0.5653 nm for GaAs). When a thin InAs layer is grown on a thick\n",
    "GaAs substrate, the InAs bonds in the growth plane must match the substrate, so the layer is\n",
    "compressed in the plane. It responds by stretching along the growth direction. These deformations,\n",
    "and the islands (quantum dots) that form to relieve them, must be captured by the model.\n",
    "\n",
    "![Slide 3: an epitaxial layer on a mismatched substrate](attachment:slide_003_crop.png)\n",
    "\n",
    "*Slide 3: GaAs (green, lattice constant $a_s$) and InAs (red, $a_0$) cells; grown on the substrate, the\n",
    "InAs keeps $a_s$ in the plane and takes $a_\\perp$ along the growth direction. Continuum elasticity\n",
    "gives $a_\\perp$; atomistically, the positions are mapped by $\\mathbf{R}' = (1+\\varepsilon)\\mathbf{R}$,\n",
    "which defines the strain tensor $\\varepsilon$.*\n",
    "\n",
    "In continuum elasticity, a cubic crystal biaxially strained in the (001) plane,\n",
    "$\\varepsilon_{xx} = \\varepsilon_{yy} = \\varepsilon_\\parallel = (a_s - a_0)/a_0$, is free of stress along $z$\n",
    "($\\sigma_{zz} = C_{12}\\varepsilon_{xx} + C_{12}\\varepsilon_{yy} + C_{11}\\varepsilon_{zz} = 0$), so\n",
    "\n",
    "$$\\varepsilon_{zz} = -\\frac{2C_{12}}{C_{11}}\\,\\varepsilon_\\parallel ,\\qquad\n",
    "a_\\perp = a_0(1+\\varepsilon_{zz}) = a_0 - \\frac{2C_{12}}{C_{11}}\\,(a_s - a_0),$$\n",
    "\n",
    "where $C_{11}$ and $C_{12}$ are the elastic constants of the layer. Klimeck stresses that in NEMO 3-D\n",
    "this formula is not used: the strain is a natural result of the interactions between the atoms."
   ],
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"
    }
   }
  },
  {
   "cell_type": "markdown",
   "id": "ba22a09e",
   "metadata": {},
   "source": [
    "## 2. The valence force field: atoms are balls, bonds are springs\n",
    "\n",
    "![Slide 4: valence force field](attachment:slide_004_crop.png)\n",
    "\n",
    "*Slide 4: an In atom and three of its four As neighbours. Relaxed: bond length $d_0$ and the\n",
    "tetrahedral angle $\\theta_0$ = 109.5°. Distorted: $d_0 + \\Delta d$ and $\\theta_0 + \\Delta\\theta$.*\n",
    "\n",
    "Each bond has a natural length $d_0$ and each pair of bonds at an atom a natural angle\n",
    "$\\theta_0 = \\arccos(-1/3) = 109.47°$. Deforming either costs energy:\n",
    "\n",
    "$$E_\\mathrm{VFF} = \\sum_\\text{bonds} \\tfrac12\\,\\alpha\\,(\\Delta d)^2 + \\sum_\\text{angles} \\tfrac12\\,\\beta\\,(\\Delta\\theta)^2 ,$$\n",
    "\n",
    "with two constants per material: $\\alpha$ resists stretching and $\\beta$ resists bending. The sums run\n",
    "over every bond and every angle of the structure, with the constants of each bond type in a\n",
    "heterostructure. Keating's (1966) form, which open-nemo and NEMO 3-D use, writes the same physics with\n",
    "squared lengths and dot products,\n",
    "\n",
    "$$E = \\sum_{i,j} \\frac{3\\alpha}{16 d_0^2}\\left(\\mathbf{r}_{ij}^2 - d_0^2\\right)^2\n",
    "+ \\sum_{i,j<k} \\frac{3\\beta}{8 d_0^2}\\left(\\mathbf{r}_{ij}\\cdot\\mathbf{r}_{ik} + \\tfrac{d_0^2}{3}\\right)^2 ,$$\n",
    "\n",
    "which is rotation invariant and reduces to the slide's form for small deformations. More\n",
    "sophisticated force fields exist (NEMO 3-D has some), but two constants already give the three cubic\n",
    "elastic constants:\n",
    "\n",
    "$$C_{11} = \\frac{\\alpha + 3\\beta}{a},\\qquad C_{12} = \\frac{\\alpha - \\beta}{a},\\qquad\n",
    "C_{44} = \\frac{4\\alpha\\beta}{a(\\alpha+\\beta)} .$$\n",
    "\n",
    "Since there are only two parameters, the three constants cannot all be fitted: Martin (1970) chose\n",
    "$\\alpha$ and $\\beta$ to reproduce $C_{11}$ and $C_{12}$ as well as possible, and $C_{44}$ follows.\n",
    "open-nemo computes them from the strain energy of the relaxed bulk cell:"
   ],
   "attachments": {
    "slide_004_crop.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6aea5c4e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:44:40.614585Z",
     "iopub.status.busy": "2026-10-24T22:44:40.614474Z",
     "iopub.status.idle": "2026-10-24T22:44:40.624631Z",
     "shell.execute_reply": "2026-10-24T22:44:40.624280Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                     C11     C12     C44  (GPa)\n",
      "GaAs  open-nemo    120.4    57.0    52.0\n",
      "      formula      120.4    57.0    52.0\n",
      "      measured     118.8    53.8    59.4\n",
      "InAs  open-nemo     85.3    49.0    31.4\n",
      "      formula       85.3    49.0    31.4\n",
      "      measured      83.3    45.3    39.6\n"
     ]
    }
   ],
   "source": [
    "measured = {\"GaAs\": (118.8, 53.8, 59.4), \"InAs\": (83.3, 45.3, 39.6)}   # GPa, room temperature\n",
    "ec = {}\n",
    "print(f\"{'':5s} {'':10s} {'C11':>7s} {'C12':>7s} {'C44':>7s}  (GPa)\")\n",
    "for name, mat, pair in ((\"GaAs\", GAAS, (\"Ga\", \"As\")), (\"InAs\", INAS, (\"In\", \"As\"))):\n",
    "    al, be, _ = KEATING[pair]\n",
    "    a = mat.lattice_constant * 1e-9\n",
    "    ec[name] = M.elastic_constants(keating, bulk(nemo.structures.lattice.from_material(mat)))\n",
    "    closed = ((al + 3 * be) / a / 1e9, (al - be) / a / 1e9, 4 * al * be / (a * (al + be)) / 1e9)\n",
    "    print(f\"{name:5s} {'open-nemo':10s} {ec[name]['C11']:7.1f} {ec[name]['C12']:7.1f} {ec[name]['C44']:7.1f}\")\n",
    "    print(f\"{'':5s} {'formula':10s} {closed[0]:7.1f} {closed[1]:7.1f} {closed[2]:7.1f}\")\n",
    "    m = measured[name]\n",
    "    print(f\"{'':5s} {'measured':10s} {m[0]:7.1f} {m[1]:7.1f} {m[2]:7.1f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f48bbe6",
   "metadata": {},
   "source": [
    "The relaxed-cell elastic constants agree with the closed-form Keating expressions. $C_{11}$ and\n",
    "$C_{12}$ are within 1–8 % of the measured values (slightly high), while $C_{44}$ is 12 % low for GaAs\n",
    "and 21 % low for InAs. This is the price of a\n",
    "two-parameter model.\n",
    "\n",
    "## 3. How NEMO 3-D uses the force field: strain is an output\n",
    "\n",
    "NEMO 3-D places every atom on an ideal lattice site, then minimizes the total spring energy over all\n",
    "atom positions (here with L-BFGS); the relaxed bond lengths and angles define the strain. The\n",
    "relaxed positions — not the strain — are passed on to the tight-binding Hamiltonian, which depends\n",
    "on every bond's length and direction. Splittings of degenerate bands then emerge from the\n",
    "deformations themselves.\n",
    "\n",
    "The test case of slide 3: an InAs film, 6 cubic cells (3.6 nm) thick, on a GaAs substrate of 4 cells\n",
    "whose bottom cell is held fixed, periodic in the plane with the GaAs period and free at the top\n",
    "surface. The vertical lattice constant is read from the spacing of the In planes in the film."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "f23b4271",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:44:40.625659Z",
     "iopub.status.busy": "2026-10-24T22:44:40.625584Z",
     "iopub.status.idle": "2026-10-24T22:44:40.666794Z",
     "shell.execute_reply": "2026-10-24T22:44:40.666439Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "720 atoms, 146 L-BFGS steps, 0.03 s\n",
      "GaAs substrate: vertical lattice constant 0.56533 nm (bulk 0.56533)\n",
      "InAs film:      a_perp = 0.64926 nm from the relaxed atoms\n",
      "continuum:      a_perp = a0 - 2 C12/C11 (as - a0) = 0.65237 nm  (2 C12/C11 = 1.149)\n",
      "strain tensor of the film's interior (from the relaxed bonds):\n",
      "[[-0.0669 -0.     -0.    ]\n",
      " [-0.     -0.0669 -0.    ]\n",
      " [-0.     -0.      0.0717]]\n",
      "eps_par = (as - a0)/a0 = -0.0669\n"
     ]
    }
   ],
   "source": [
    "def zincblende_block(lat, nxy, nz, a_plane=None):\n",
    "    # nxy x nxy x nz cubic cells; positions, sublattice and species, in-plane period a_plane\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",
    "    if a_plane is not None:\n",
    "        X[:, :2] *= a_plane / lat.conventional[0, 0]\n",
    "    sl = np.tile(sub, len(g))\n",
    "    return X, sl, [lat.species[i] for i in sl]\n",
    "\n",
    "\n",
    "latG = nemo.structures.lattice.from_material(GAAS)\n",
    "NXY, NSUB, NFILM = 3, 4, 6\n",
    "X, sl, sp = zincblende_block(latG, NXY, NSUB + NFILM)\n",
    "in_film = X[:, 2] > NSUB * aG - 1e-9\n",
    "sp = [\"In\" if (f and c == \"Ga\") else c for c, f in zip(sp, in_film)]\n",
    "film = Structure(X, sp, np.diag([NXY * aG, NXY * aG, 0.0])[:2], sl, latG)\n",
    "t0 = time.perf_counter()\n",
    "r = M.relax(keating(film), fixed=X[:, 2] < aG - 1e-9, tol=1e-7)\n",
    "z, spa = r[\"positions\"][:, 2], np.array(sp)\n",
    "z_in = np.unique(np.round(z[spa == \"In\"], 6))\n",
    "z_ga = np.unique(np.round(z[spa == \"Ga\"], 6))\n",
    "a_perp_vff = 2 * np.median(np.diff(z_in))\n",
    "C11, C12 = ec[\"InAs\"][\"C11\"], ec[\"InAs\"][\"C12\"]\n",
    "a_perp_lin = aI - 2 * C12 / C11 * (aG - aI)\n",
    "print(f\"{film.num_atoms} atoms, {r['iterations']} L-BFGS steps, {time.perf_counter() - t0:.2f} s\")\n",
    "print(f\"GaAs substrate: vertical lattice constant {2 * np.median(np.diff(z_ga)):.5f} nm (bulk {aG:.5f})\")\n",
    "print(f\"InAs film:      a_perp = {a_perp_vff:.5f} nm from the relaxed atoms\")\n",
    "print(f\"continuum:      a_perp = a0 - 2 C12/C11 (as - a0) = {a_perp_lin:.5f} nm  \"\n",
    "      f\"(2 C12/C11 = {2 * C12 / C11:.3f})\")\n",
    "\n",
    "st = M.atomic_strain(film, r[\"positions\"], lattice_constants={(\"In\", \"As\"): aI, (\"Ga\", \"As\"): aG})\n",
    "core = st[\"valid\"] & (spa == \"In\") & (z > (NSUB + 2) * aG) & (z < (NSUB + 4) * aG)\n",
    "eps = st[\"strain\"][core].mean(axis=0)\n",
    "print(\"strain tensor of the film's interior (from the relaxed bonds):\")\n",
    "print(np.array2string(eps, precision=4, suppress_small=True))\n",
    "print(f\"eps_par = (as - a0)/a0 = {(aG - aI) / aI:.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b2d00fe8",
   "metadata": {},
   "source": [
    "The substrate keeps its bulk lattice constant and the film takes the GaAs period in the plane:\n",
    "$\\varepsilon_{xx} = \\varepsilon_{yy} = -6.69\\,\\%$ comes out of the relaxed bonds, together with\n",
    "$\\varepsilon_{zz} = +7.17\\,\\%$ and no shear. The relaxed $a_\\perp$ = 0.6493 nm is 0.003 nm below the\n",
    "continuum value 0.6524 nm. At a mismatch of 7 % the difference is not an error of either model: the\n",
    "continuum formula is linear in the strain, while Keating's energy, written with squared lengths, is\n",
    "not. A sweep of the substrate lattice constant shows the two agree for small mismatch. Here the\n",
    "\"substrate\" is an InAs film whose in-plane period is set to $a_s$, with only its bottom two atomic\n",
    "planes held."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "3e82aad6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:44:40.667988Z",
     "iopub.status.busy": "2026-10-24T22:44:40.667902Z",
     "iopub.status.idle": "2026-10-24T22:44:40.926154Z",
     "shell.execute_reply": "2026-10-24T22:44:40.925749Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "eps_par  -8.0 %: eps_zz VFF +8.463 %, linear +9.189 %\n",
      "eps_par  -5.0 %: eps_zz VFF +5.451 %, linear +5.743 %\n",
      "eps_par  -2.0 %: eps_zz VFF +2.249 %, linear +2.297 %\n",
      "eps_par  +1.0 %: eps_zz VFF -1.161 %, linear -1.149 %\n",
      "eps_par  +4.0 %: eps_zz VFF -4.802 %, linear -4.594 %\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 660x440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "latI = nemo.structures.lattice.from_material(INAS)\n",
    "f_mis = np.linspace(-0.08, 0.04, 13)                 # (a_s - a0) / a0\n",
    "ezz_vff = []\n",
    "for f in f_mis:\n",
    "    a_s = aI * (1 + f)\n",
    "    X, sl, sp = zincblende_block(latI, 2, 6, a_plane=a_s)\n",
    "    slab = Structure(X, sp, np.diag([2 * a_s, 2 * a_s, 0.0])[:2], sl, latI)\n",
    "    r = M.relax(keating(slab), fixed=X[:, 2] < aI / 4 + 1e-9, tol=1e-8)\n",
    "    zc = np.unique(np.round(r[\"positions\"][np.array(sp) == \"In\", 2], 6))\n",
    "    ezz_vff.append(2 * np.median(np.diff(zc)) / aI - 1)\n",
    "ezz_vff = np.array(ezz_vff)\n",
    "ratio = -2 * C12 / C11\n",
    "fig, ax = plt.subplots(figsize=(6, 4))\n",
    "ax.plot(100 * f_mis, 100 * ezz_vff, \"o\", color=style.OPEN_NEMO, label=\"relaxed Keating film (open-nemo)\")\n",
    "ax.plot(100 * f_mis, 100 * ratio * f_mis, color=style.CONTEXT,\n",
    "        label=r\"continuum: $-2C_{12}/C_{11}\\,\\varepsilon_\\parallel$\")\n",
    "ax.axvline(100 * (aG - aI) / aI, color=\"0.5\", ls=\":\", lw=1)\n",
    "ax.text(100 * (aG - aI) / aI + 0.2, -6, \"InAs on GaAs\", fontsize=8, color=\"0.4\")\n",
    "ax.set(xlabel=r\"in-plane strain $\\varepsilon_\\parallel$ (%)\",\n",
    "       ylabel=r\"vertical strain $\\varepsilon_{zz}$ (%)\",\n",
    "       title=\"InAs film: vertical response to in-plane strain\")\n",
    "ax.legend(frameon=False, fontsize=8)\n",
    "fig.tight_layout()\n",
    "for f, e in zip(f_mis[::3], ezz_vff[::3]):\n",
    "    print(f\"eps_par {100 * f:+5.1f} %: eps_zz VFF {100 * e:+6.3f} %, linear {100 * ratio * f:+6.3f} %\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "035773cd",
   "metadata": {},
   "source": [
    "For strains of a per cent or two the relaxed film follows the continuum line; at large compression\n",
    "the force field gives a smaller vertical expansion, and under tension a larger contraction, than the\n",
    "linear law. The atomistic relaxation needs no such formula: it handles any geometry — a film, a\n",
    "pyramid, a random alloy — with the same two constants per bond.\n",
    "\n",
    "## 4. Impact of strain on the electronic structure\n",
    "\n",
    "Strain changes bond lengths and angles, which shifts the band edges and lifts the degeneracy of the\n",
    "heavy-hole (HH) and light-hole (LH) bands at Γ. In continuum language this is described with\n",
    "deformation potentials (slide 6):\n",
    "\n",
    "$$E_c = E_{c0} + a_c(\\varepsilon_{xx}+\\varepsilon_{yy}+\\varepsilon_{zz}),\\qquad\n",
    "E_\\mathrm{HH/LH} = E_{v0} + a_v(\\varepsilon_{xx}+\\varepsilon_{yy}+\\varepsilon_{zz})\n",
    "\\pm \\tfrac12 b_v(\\varepsilon_{xx}+\\varepsilon_{yy}-2\\varepsilon_{zz}),$$\n",
    "\n",
    "with $a_c = -5.08$ eV, $a_v = 1.0$ eV and $b_v = -1.8$ eV for InAs. The first term of each line is the\n",
    "hydrostatic shift, proportional to the relative volume change; the $b_v$ term responds to the\n",
    "tetragonal distortion and splits HH from LH. Klimeck's caveat: tight binding does not work this way.\n",
    "It sees only the displaced atoms, and these formulas serve to interpret its results and to check\n",
    "that it gives the right trends. Below, both are applied to bulk InAs strained biaxially in the (001)\n",
    "plane, from 0 to the pseudomorphic strain on GaAs, with $\\varepsilon_{zz} = -2(C_{12}/C_{11})\n",
    "\\varepsilon_\\parallel$. The tight-binding model is sp3d5s\\* with spin–orbit coupling and the strain\n",
    "model of Boykin et al. (2002) (`klimeck2002_sp3d5s`: bond-length exponents of the two-centre\n",
    "integrals and strain-dependent on-site energies)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3ce4fb31",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:44:40.927240Z",
     "iopub.status.busy": "2026-10-24T22:44:40.927170Z",
     "iopub.status.idle": "2026-10-24T22:44:40.949046Z",
     "shell.execute_reply": "2026-10-24T22:44:40.948595Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "unstrained InAs (TB): CB 0.5942, VB 0.2243, SO -0.1689 eV\n",
      "at eps_par = -6.69 %, eps_zz = 7.68 %:\n",
      "  CB: shift   +221 meV (tight binding),   +289 meV (deformation potentials)\n",
      "  HH: shift   +223 meV (tight binding),   +202 meV (deformation potentials)\n",
      "  LH: shift    +26 meV (tight binding),   -316 meV (deformation potentials)\n"
     ]
    }
   ],
   "source": [
    "AC, AV, BV = -5.08, 1.0, -1.8\n",
    "prim = bulk(latI)\n",
    "sk = nemo.models.tb.SlaterKoster(INAS, spin=True, strain=\"bond_length\")\n",
    "\n",
    "\n",
    "def gamma_pairs(eps):\n",
    "    # Kramers-pair energies at Gamma of homogeneously strained bulk InAs\n",
    "    e = np.linalg.eigvalsh(sk.build(M.strain_structure(prim, eps)).dense(np.zeros(3)))\n",
    "    return 0.5 * (e[0::2] + e[1::2])\n",
    "\n",
    "\n",
    "e_par = np.linspace(0, (aG - aI) / aI, 15)\n",
    "e0 = gamma_pairs(np.zeros((3, 3)))\n",
    "tb, dp = [], []\n",
    "for ep in e_par:\n",
    "    ez = -2 * C12 / C11 * ep\n",
    "    lv = gamma_pairs(np.diag([ep, ep, ez]))\n",
    "    tb.append([lv[4] - e0[4], lv[3] - e0[3], lv[2] - e0[2]])              # CB, top VB, second VB\n",
    "    tr, ax_ = 2 * ep + ez, 2 * ep - 2 * ez\n",
    "    dp.append([AC * tr, AV * tr + 0.5 * BV * ax_, AV * tr - 0.5 * BV * ax_])  # CB, HH, LH\n",
    "tb, dp = np.array(tb), np.array(dp)\n",
    "print(f\"unstrained InAs (TB): CB {e0[4]:.4f}, VB {e0[3]:.4f}, SO {e0[1]:.4f} eV\")\n",
    "print(f\"at eps_par = {100 * e_par[-1]:.2f} %, eps_zz = {-200 * C12 / C11 * e_par[-1]:.2f} %:\")\n",
    "for k, name in enumerate([\"CB\", \"HH\", \"LH\"]):\n",
    "    print(f\"  {name}: shift {1000 * tb[-1, k]:+6.0f} meV (tight binding), {1000 * dp[-1, k]:+6.0f} meV \"\n",
    "          f\"(deformation potentials)\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8c2bb3c8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:44:40.950115Z",
     "iopub.status.busy": "2026-10-24T22:44:40.950044Z",
     "iopub.status.idle": "2026-10-24T22:44:41.057550Z",
     "shell.execute_reply": "2026-10-24T22:44:41.057180Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tight binding, small strain: a_c = -6.32 eV, a_v = 0.56 eV, |b_v| = 1.18 eV\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 704x440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(6.4, 4))\n",
    "for k, (name, c) in enumerate(zip([\"CB\", \"HH\", \"LH\"], style.sweep(3))):\n",
    "    ax.plot(-100 * e_par, 1000 * tb[:, k], color=c, label=f\"{name}, tight binding\")\n",
    "    ax.plot(-100 * e_par, 1000 * dp[:, k], \"--\", color=c, label=f\"{name}, deformation potentials\")\n",
    "ax.axhline(0, color=\"0.6\", lw=0.8)\n",
    "ax.set(xlabel=r\"in-plane compression $-\\varepsilon_\\parallel$ (%)\", ylabel=\"band-edge shift (meV)\",\n",
    "       title=\"InAs under (001) biaxial compression\")\n",
    "ax.legend(frameon=False, fontsize=8, ncol=2)\n",
    "fig.tight_layout()\n",
    "\n",
    "d = 0.002                                            # small strains: the TB model's own constants\n",
    "hp, hm = gamma_pairs(np.eye(3) * d), gamma_pairs(-np.eye(3) * d)\n",
    "bp = gamma_pairs(np.diag([-d, -d, 2 * d]))\n",
    "print(f\"tight binding, small strain: a_c = {(hp[4] - hm[4]) / (6 * d):.2f} eV, \"\n",
    "      f\"a_v = {(hp[3] - hm[3]) / (6 * d):.2f} eV, |b_v| = {(bp[3] - bp[2]) / (6 * d):.2f} eV\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fa6f16f8",
   "metadata": {},
   "source": [
    "Both descriptions agree on the trends: the conduction band rises under compression, the valence\n",
    "degeneracy is lifted with the heavy hole on top, and both are of the order of a few hundred meV at\n",
    "the 6.7 % in-plane compression of InAs on GaAs. The numbers differ. The tight-binding model's own\n",
    "deformation potentials, obtained from small strains, are $a_c = -6.32$ eV, $a_v = 0.56$ eV and\n",
    "$|b_v| = 1.18$ eV, not the slide's values; and at large strain the light hole, which is coupled to\n",
    "the split-off band by the strain (the spin–orbit splitting of InAs is only 0.39 eV), does not follow\n",
    "the linear formula at all: it bends back up. In a dot, where the strain varies from atom to atom,\n",
    "tight binding takes all of this into account without any formula.\n",
    "\n",
    "## 5. Piezoelectric potential\n",
    "\n",
    "Zincblende has no inversion center, so shear strain polarizes it. To first order (slide 7),\n",
    "\n",
    "$$\\mathbf{P}_1 = 2e_{14}\\begin{pmatrix}\\varepsilon_{yz}\\\\ \\varepsilon_{xz}\\\\ \\varepsilon_{xy}\\end{pmatrix},$$\n",
    "\n",
    "with the piezoelectric constant $e_{14}$ ($-0.16$ C/m² for GaAs, $-0.045$ C/m² for InAs). The\n",
    "slide also shows the second-order terms $\\mathbf{P}_2$ with constants $B_{114}$, $B_{124}$, $B_{156}$,\n",
    "products of strain components. The polarization gives a bound charge density and, through\n",
    "Poisson's equation, a potential $V_p$:\n",
    "\n",
    "$$\\rho_\\mathrm{piezo}(\\mathbf{r}) = -\\nabla\\cdot\\mathbf{P},\\qquad\n",
    "\\nabla\\cdot\\left[\\varepsilon_0\\,\\varepsilon_s(\\mathbf{r})\\,\\nabla V_p(\\mathbf{r})\\right] = -\\rho_\\mathrm{piezo}(\\mathbf{r}),$$\n",
    "\n",
    "where $\\varepsilon_s$ is the static relative permittivity (sign conventions differ between authors;\n",
    "the slide writes the equation with the opposite sign). A (001) film has no shear strain and hence\n",
    "no piezoelectric field; a dot has shear strain along its edges. Below, the small pyramid of the\n",
    "previous lecture (InAs, base 9 nm, height 3.5 nm, on a wetting layer) is placed in a larger GaAs\n",
    "box of 26 × 26 × 14 cubic cells (14.7 × 14.7 × 7.9 nm, periodic), relaxed, its strain computed per atom against each atom's own material, $\\mathbf{P}_1$ put on the\n",
    "cations, and the potential solved on a grid of spacing $a/2$, periodic in the plane and held at\n",
    "zero on the bottom and top faces."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "73093746",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:44:41.058632Z",
     "iopub.status.busy": "2026-10-24T22:44:41.058549Z",
     "iopub.status.idle": "2026-10-24T22:44:48.056411Z",
     "shell.execute_reply": "2026-10-24T22:44:48.055934Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "75712 atoms relaxed and piezoelectric potential solved in 7.0 s\n",
      "largest |shear strain| 4.90 %, largest |P| 0.0134 C/m^2\n",
      "potential at the atoms: -26.7 to 25.3 mV, total bound charge -2.1e-04 e\n"
     ]
    }
   ],
   "source": [
    "NX, NZ, BASE, HEIGHT = 26, 14, 9.0, 3.5\n",
    "X, sl, sp = zincblende_block(latG, NX, NZ)\n",
    "c0 = np.array([NX * aG / 2, NX * aG / 2, 2.5])\n",
    "zr = X[:, 2] - c0[2]\n",
    "half = BASE / 2 * (1 - zr / HEIGHT)\n",
    "dot = (zr >= 0) & (zr <= HEIGHT) & (np.abs(X[:, 0] - c0[0]) <= half) & (np.abs(X[:, 1] - c0[1]) <= half)\n",
    "wet = (zr >= -aG / 4 - 1e-9) & (zr < 0)\n",
    "sp = [\"In\" if ((d_ or w_) and c == \"Ga\") else c for c, d_, w_ in zip(sp, dot, wet)]\n",
    "pyr = Structure(X, sp, np.diag([NX * aG, NX * aG, NZ * aG]), sl, latG)\n",
    "t0 = time.perf_counter()\n",
    "rp = M.relax(keating(pyr), tol=1e-6)\n",
    "stp = M.atomic_strain(pyr, rp[\"positions\"], lattice_constants=pz.zincblende_lattice_constants(pyr))\n",
    "strain = np.where(stp[\"valid\"][:, None, None], stp[\"strain\"], np.nan)\n",
    "pol = pz.zincblende_site_polarization(pyr, strain)\n",
    "out = polarization_potential(pyr, pol[\"polarization\"], pol[\"eps_r\"], positions=rp[\"positions\"],\n",
    "                             periodic=(True, True, False))\n",
    "print(f\"{pyr.num_atoms} atoms relaxed and piezoelectric potential solved in {time.perf_counter() - t0:.1f} s\")\n",
    "shear = np.abs(strain[:, [0, 0, 1], [1, 2, 2]])\n",
    "print(f\"largest |shear strain| {100 * np.nanmax(shear):.2f} %, largest |P| \"\n",
    "      f\"{np.nanmax(np.linalg.norm(pol['polarization'], axis=1)):.4f} C/m^2\")\n",
    "phi = 1000 * out[\"atom_potential\"]\n",
    "print(f\"potential at the atoms: {phi.min():.1f} to {phi.max():.1f} mV, \"\n",
    "      f\"total bound charge {out['total_charge']:+.1e} e\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "cb3b810b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:44:48.057399Z",
     "iopub.status.busy": "2026-10-24T22:44:48.057306Z",
     "iopub.status.idle": "2026-10-24T22:44:48.213980Z",
     "shell.execute_reply": "2026-10-24T22:44:48.213664Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1210x462 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = out[\"grid\"]\n",
    "pot = 1000 * out[\"potential\"].reshape(g.shape)\n",
    "xs, ys, zs = (np.asarray(ax_) for ax_ in g.axes)\n",
    "iz = np.argmin(np.abs(zs - (c0[2] + 1.0)))\n",
    "ix = np.argmin(np.abs(xs - c0[0]))\n",
    "vmax = np.abs(pot).max()\n",
    "fig, (a1, a2) = plt.subplots(1, 2, figsize=(11, 4.2))\n",
    "im = a1.imshow(pot[:, :, iz].T, origin=\"lower\", extent=[xs[0], xs[-1], ys[0], ys[-1]],\n",
    "               cmap=style.SIGNED, vmin=-vmax, vmax=vmax)\n",
    "a1.plot(c0[0] + BASE / 2 * np.array([-1, 1, 1, -1, -1]), c0[1] + BASE / 2 * np.array([-1, -1, 1, 1, -1]),\n",
    "        color=\"k\", lw=0.8)\n",
    "a1.grid(False)\n",
    "a1.set(xlabel=\"x [100] (nm)\", ylabel=\"y [010] (nm)\",\n",
    "       title=f\"φ (mV), plane {zs[iz] - c0[2]:.1f} nm above the base\")\n",
    "fig.colorbar(im, ax=a1, label=\"mV\")\n",
    "diag = np.linspace(-0.45, 0.45, 200) * NX * aG\n",
    "from scipy.interpolate import RegularGridInterpolator\n",
    "f = RegularGridInterpolator((xs, ys, zs), pot, bounds_error=False)\n",
    "for v, name, c in (((1, 1), \"[110]\", style.OPEN_NEMO), ((1, -1), \"[1-10]\", style.CONTEXT)):\n",
    "    u = np.array(v) / np.sqrt(2)\n",
    "    line = np.c_[c0[0] + diag * u[0], c0[1] + diag * u[1], np.full_like(diag, zs[iz])]\n",
    "    a2.plot(diag, f(line), color=c, label=name)\n",
    "a2.axhline(0, color=\"0.6\", lw=0.8)\n",
    "a2.set(xlabel=\"distance from the dot axis (nm)\", ylabel=\"φ (mV)\", title=\"line cuts along the base diagonals\")\n",
    "a2.legend(frameon=False, fontsize=8)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "817dc4d6",
   "metadata": {},
   "source": [
    "The piezoelectric potential has the quadrupole pattern known from the literature: lobes of\n",
    "opposite sign along the two diagonals [110] and [1$\\bar1$0] of the square base, strongest at the\n",
    "pyramid's corners and edges, where the shear strain is largest (up to 4.90 % here). On this plane,\n",
    "1.1 nm above the base, the potential inside the dot is positive along [110] (about 9 mV) and negative\n",
    "along [1$\\bar1$0] (about −4 mV), and the signs reverse just outside the base (−15 and +14 mV).\n",
    "Tens of millivolts are small compared with the band offsets, but comparable to the splitting of the\n",
    "p-like electron states, so the potential breaks the symmetry between [110] and [1$\\bar1$0] that the\n",
    "square base alone would keep. NEMO 3-D adds $-qV_p$ to the on-site\n",
    "energies of the tight-binding Hamiltonian, as the multi-scale chart of lecture 21.1 shows; later\n",
    "lectures of the course discuss its effect on dots.\n",
    "\n",
    "## Summary\n",
    "\n",
    "- Lattice mismatch makes an InAs layer on GaAs compress in the plane ($\\varepsilon_\\parallel$ =\n",
    "  −6.69 %) and expand vertically.\n",
    "- The valence force field has two constants per material, $\\alpha$ for bond stretching and\n",
    "  $\\beta$ for bond bending; they fix $C_{11}$ and $C_{12}$, while $C_{44}$ comes out 12–21 % low.\n",
    "- Minimizing the force-field energy over all atoms gives the strain as an output: the relaxed film\n",
    "  has $a_\\perp$ = 0.6493 nm against 0.6524 nm from linear elasticity; the two agree at small\n",
    "  mismatch.\n",
    "- Tight binding of the strained crystal and deformation potentials agree on trends (CB up, HH above\n",
    "  LH under compression) but not on numbers; the light hole is strongly nonlinear.\n",
    "- Shear strain at the edges of a dot gives a piezoelectric polarization $2e_{14}(\\varepsilon_{yz},\n",
    "  \\varepsilon_{xz}, \\varepsilon_{xy})$ and a potential of tens of mV (−27 to +25 mV at the atoms of\n",
    "  this small pyramid) with lobes of opposite sign along [110] and [1$\\bar1$0].\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Set $\\beta$ of InAs to zero in `KEATING` and recompute the elastic constants. What happens to\n",
    "   $C_{44}$, and why is a pure bond-stretching model unstable?\n",
    "2. Change the film thickness `NFILM` to 2 and to 10 cells. Does $a_\\perp$ in the middle of the film\n",
    "   change? Plot the In-plane spacing against height to see the surface and interface regions.\n",
    "3. Repeat section 4 for tensile strain ($\\varepsilon_\\parallel > 0$). Which hole band is on top?\n",
    "4. In section 5, use `pz.zincblende_site_polarization(pyr, strain, order=\"second\")` to include the\n",
    "   second-order terms of slide 7. How much does the potential change?\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",
    "  relaxation and strain shifts of a dot's levels.\n",
    "- [Atomistic piezoelectric potential](../../book/07_quantum_dots/07_03_polarization_in_dots/07_03_02_atomistic_piezoelectric_potential.ipynb):\n",
    "  the full piezoelectric chain, conventions and comparison with the literature.\n",
    "- [Strain types and directions](../../book/03_strain/03_01_strain_types_and_directions.ipynb) and\n",
    "  [strained Si/Ge heterostructures](../../book/03_strain/03_02_strained_si_ge_heterostructure.ipynb).\n",
    "- [Dot strain profiles](../../book/15_benchmarks/15_03_nemo3d/15_03_03_dot_strain_profiles.ipynb): NEMO 3-D\n",
    "  strain benchmarks.\n",
    "- [Phonons and relaxation](../../book/15_benchmarks/15_01_nemo5/15_01_03_strain_and_phonons/15_01_03_03_phonons_and_relaxation.ipynb).\n",
    "- Previous: [multi-scale by design](21_1_nemo3d_multiscale_by_design.ipynb); next:\n",
    "  [sp3d5s\\* tight binding](21_3_sp3d5s_tight_binding.ipynb).\n",
    "- P. N. Keating, *Phys. Rev.* **145**, 637 (1966); R. M. Martin, *Phys. Rev. B* **1**, 4005 (1970).\n",
    "- T. B. Boykin, G. Klimeck, R. C. Bowen, F. Oyafuso, *Phys. Rev. B* **66**, 125207 (2002) — the\n",
    "  strain model of the tight-binding parameters.\n",
    "- G. Klimeck et al., *IEEE Trans. Electron Devices* **54**, 2090 (2007) — NEMO 3-D's strain and\n",
    "  piezoelectric chain."
   ]
  }
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