{
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   "source": [
    "# ECE 606 Lecture 4.3: Why do we need quantum mechanics?\n",
    "\n",
    "*From* [Nanoelectronic Modeling — From Atoms to Devices](https://nanohub.org/resources/45001), *Gerhard Klimeck, Purdue University. Lecture page:* [nanoHUB resource 37102](https://nanohub.org/resources/37102) — [video](https://nanohub.org/resources/37838) · [slides](https://nanohub.org/resources/37837) · [YouTube](https://youtube.com/watch?v=ttiCs78Qc8k)\n",
    "\n",
    "**In this lecture**\n",
    "\n",
    "- the question of Section 4 once more: the density of electrons available for conduction is not the number of atoms per volume times the electrons per atom\n",
    "- the problem to solve: electrons in the periodic potential of a crystal, pictured as square buckets around the atomic cores\n",
    "- a skier passing obstacles would follow Newton's laws, but electrons can be tightly bound to the cores, loosely bound, or free to move through the structure\n",
    "- even free electrons need empty states to move into: the carrier number is the number of states times their filling, like the occupants of an apartment building\n",
    "- the outlook: the Schrödinger equation arises from quantization and relativity, and the next lectures solve concrete problems with it\n",
    "\n",
    "**In this notebook** builds the lecture's picture of electrons in square buckets as a one-dimensional Kronig–Penney crystal, computes its bands with open-nemo's periodic-lead solver and checks the band edges against the analytic Kronig–Penney condition, shows that deep bands are narrow and slow (bound electrons) and high bands free-electron-like, and then fills the states with the Fermi function to show that the number of electrons that respond to a field depends on the filling, not on the number of electrons."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "689db592",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:49:33.188108Z",
     "iopub.status.busy": "2026-10-24T22:49:33.187917Z",
     "iopub.status.idle": "2026-10-24T22:49:33.670263Z",
     "shell.execute_reply": "2026-10-24T22:49:33.669783Z"
    }
   },
   "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",
    "from opennemo.core.units import HBAR, HBAR2_2M0, KB, M0, Q\n",
    "from scipy.optimize import brentq\n",
    "from scipy.special import expit"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "471f806b",
   "metadata": {},
   "source": [
    "## 1. The problem: electrons in a periodic potential\n",
    "\n",
    "The current needs the density $n$ of electrons that can move, and Lectures 3.1 and 4.1 showed that\n",
    "$n \\neq N\\times\\rho$: not every electron of the crystal conducts. Klimeck now zooms into the device.\n",
    "Its crystal is a periodic arrangement of atomic cores, and an electron moving through it sees the\n",
    "periodic potential they create. In the simplest picture the potential is a row of square buckets,\n",
    "one around each core.\n",
    "\n",
    "![Slide 4: from the device to the periodic potential](attachment:slide_004_crop.png)\n",
    "\n",
    "*Slide 4: a nanowire device, its periodic crystal structure, and the problem to solve: electrons in a periodic potential of square wells.*\n",
    "\n",
    "If the electrons were large objects, like a skier passing a row of obstacles, Newton's mechanics\n",
    "would do. In the micro-world, some electrons sit deep in the buckets, closely bound to the cores;\n",
    "some are loosely bound; and some move above the buckets, freely through the structure. Electrons are\n",
    "waves (Lecture 4.2), and which of them move, and how fast, is a quantum-mechanical question.\n",
    "\n",
    "The cell sets up that picture as the Kronig–Penney model: wells of width $w = 0.4$ nm separated by\n",
    "barriers of height $U_0 = 8$ eV and width $b = 0.1$ nm (period $a = 0.5$ nm, free-electron mass).\n",
    "open-nemo discretizes one period as an effective-mass device, couples it to its periodic copies as a\n",
    "lead, and diagonalizes $H(q) = h + V e^{iq} + V^\\dagger e^{-iq}$ for Bloch phases $q = ka$. The\n",
    "analytic check is the Kronig–Penney condition (derived in Lecture 7.2):\n",
    "\n",
    "$$\\cos ka = \\cos\\alpha w\\,\\cosh\\beta b + \\frac{\\beta^2 - \\alpha^2}{2\\alpha\\beta}\\,\\sin\\alpha w\\,\\sinh\\beta b,\n",
    "\\qquad \\alpha = \\sqrt{\\frac{E}{\\hbar^2/2m_0}}, \\quad \\beta = \\sqrt{\\frac{U_0 - E}{\\hbar^2/2m_0}};$$\n",
    "\n",
    "the band edges are the energies where the right side equals ±1 (for $E > U_0$, $\\beta$ is imaginary\n",
    "and the formula continues analytically)."
   ],
   "attachments": {
    "slide_004_crop.png": {
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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0aa768e2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:49:33.671588Z",
     "iopub.status.busy": "2026-10-24T22:49:33.671494Z",
     "iopub.status.idle": "2026-10-24T22:49:33.950739Z",
     "shell.execute_reply": "2026-10-24T22:49:33.950262Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " band   bottom (eV)  analytic   top (eV)  analytic   width (eV)   max |v| (10⁵ m/s)\n",
      "   1        0.970     0.971      1.593     1.594       0.623          2.4\n",
      "   2        3.904     3.905      6.356     6.359       2.453          8.8\n",
      "   3        8.921     8.924     14.240    14.252       5.319         17.4\n",
      "   4       16.291    16.300     25.168    25.202       8.878         26.4\n",
      "free electron at 4 eV for comparison: v = 11.9 × 10⁵ m/s\n"
     ]
    }
   ],
   "source": [
    "EM = nemo.structures.materials.EffectiveMassMaterial\n",
    "w, b, U0, dx = 0.4, 0.1, 8.0, 0.005  # nm, nm, eV, nm\n",
    "a = w + b\n",
    "cell = nemo.Heterostructure1D(\n",
    "    [nemo.Layer(EM(\"well\", 1.0, 1.0), w), nemo.Layer(EM(\"barrier\", 1.0, 1.0, conduction_band_edge=U0), b)],\n",
    "    spacing=dx,\n",
    ")\n",
    "h = cell.hamiltonian.sparse.dense().real\n",
    "V = np.zeros_like(h)\n",
    "V[-1, 0] = -HBAR2_2M0 / dx**2  # hopping from the last site of one period to the first site of the next\n",
    "lead = nemo.Lead(h, V)\n",
    "q = np.linspace(-np.pi, np.pi, 400, endpoint=False)\n",
    "bands = np.array([lead.bands(np.array([x]))[0][:4] for x in q])  # (nq, 4) in eV\n",
    "\n",
    "\n",
    "def kp_rhs(E):\n",
    "    al, be = np.sqrt(E / HBAR2_2M0 + 0j), np.sqrt((U0 - E) / HBAR2_2M0 + 0j)\n",
    "    return (\n",
    "        np.cos(al * w) * np.cosh(be * b) + (be**2 - al**2) / (2 * al * be) * np.sin(al * w) * np.sinh(be * b)\n",
    "    ).real\n",
    "\n",
    "\n",
    "Eg = np.linspace(0.01, 45, 90000)\n",
    "edges = []\n",
    "for s in (1, -1):\n",
    "    g = kp_rhs(Eg) - s\n",
    "    edges += [\n",
    "        brentq(lambda e: kp_rhs(e) - s, Eg[i], Eg[i + 1])\n",
    "        for i in np.flatnonzero(np.sign(g[:-1]) != np.sign(g[1:]))\n",
    "    ]\n",
    "edges = np.sort(edges)\n",
    "\n",
    "dq = q[1] - q[0]\n",
    "v = (np.roll(bands, -1, axis=0) - np.roll(bands, 1, axis=0)) / (2 * dq) * a / HBAR * 1e-9  # (1/ħ) dE/dk, m/s\n",
    "print(\" band   bottom (eV)  analytic   top (eV)  analytic   width (eV)   max |v| (10⁵ m/s)\")\n",
    "for j in range(4):\n",
    "    lo, hi = bands[:, j].min(), bands[:, j].max()\n",
    "    print(\n",
    "        f\"{j + 1:4d}   {lo:10.3f}  {edges[2 * j]:8.3f}   {hi:8.3f}  {edges[2 * j + 1]:8.3f}   \"\n",
    "        f\"{hi - lo:9.3f}   \"\n",
    "        f\"{np.abs(v[:, j]).max() / 1e5:10.1f}\"\n",
    "    )\n",
    "print(f\"free electron at 4 eV for comparison: v = {np.sqrt(2 * 4 * Q / M0) / 1e5:.1f} × 10⁵ m/s\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "055237ec",
   "metadata": {},
   "source": [
    "open-nemo's band edges agree with the Kronig–Penney condition to within 0.012 eV for bands 1–3 and\n",
    "0.034 eV (0.14 %) at the top of band 4, the discretization error of the 0.005 nm grid, which grows with\n",
    "the energy. The four bands tell Klimeck's story:\n",
    "\n",
    "- **Band 1** (0.970–1.593 eV) lies deep in the wells. It is 0.623 eV wide, and its electrons move at\n",
    "  most at $2.4\\times10^5$ m/s: they are closely bound to the cores and hop between them only by\n",
    "  tunnelling through the barriers.\n",
    "- **Band 2** (3.904–6.356 eV) is still below the barrier top but four times wider, with velocities\n",
    "  up to $8.8\\times10^5$ m/s: loosely bound.\n",
    "- **Bands 3 and 4** (above 8.92 eV) lie above the barriers, where the electrons move freely through\n",
    "  the structure. They are wide (5.3 and 8.9 eV), their electrons are faster than a free\n",
    "  electron of 4 eV ($11.9\\times10^5$ m/s), and the gaps between them are the only reminder of the lattice.\n",
    "\n",
    "A classical particle with the energy of band 1 would be trapped in one bucket forever; the quantum\n",
    "electron moves through the whole crystal, only slowly. A classical particle above the barriers would\n",
    "never be reflected; the quantum electron is, at the energies of the gaps."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "630cae48",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:49:33.951870Z",
     "iopub.status.busy": "2026-10-24T22:49:33.951795Z",
     "iopub.status.idle": "2026-10-24T22:49:34.096829Z",
     "shell.execute_reply": "2026-10-24T22:49:34.096523Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1210x484 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (a1, a2) = plt.subplots(1, 2, figsize=(11, 4.4), gridspec_kw={\"width_ratios\": [1.2, 1]})\n",
    "xs = np.linspace(-a, 2 * a, 600)\n",
    "a1.plot(xs, np.where(np.mod(xs, a) < w, 0.0, U0), color=style.CONTEXT, lw=1.5)\n",
    "for j, col in zip(range(4), style.sweep(4)):\n",
    "    a1.axhspan(bands[:, j].min(), bands[:, j].max(), color=col, alpha=0.35, label=f\"band {j + 1}\")\n",
    "a1.set(\n",
    "    xlabel=\"position x (nm)\", ylabel=\"energy (eV)\", ylim=(0, 20), title=\"square buckets and the allowed bands\"\n",
    ")\n",
    "a1.legend(frameon=False, fontsize=8, loc=\"upper right\")\n",
    "for j, col in zip(range(4), style.sweep(4)):\n",
    "    a2.plot(q / np.pi, bands[:, j], color=col)\n",
    "for e in edges[:8]:\n",
    "    a2.axhline(e, color=style.REFERENCE, ls=\":\", lw=0.7)\n",
    "a2.axhline(U0, color=style.CONTEXT, ls=\"--\", lw=1, label=\"barrier top\")\n",
    "a2.set(\n",
    "    xlabel=\"Bloch wave number ka / π\",\n",
    "    ylabel=\"energy (eV)\",\n",
    "    ylim=(0, 20),\n",
    "    title=\"open-nemo bands (dotted: analytic edges)\",\n",
    ")\n",
    "a2.legend(frameon=False, fontsize=8, loc=\"upper right\")\n",
    "fig.tight_layout();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "658f7106",
   "metadata": {},
   "source": [
    "## 2. Carrier number = number of states × filling factor\n",
    "\n",
    "Knowing the states is half of the answer. Even a free electron can only move if there is an empty\n",
    "state to move into: an electric field shifts electrons from states with $-k$ to states with $+k$, and\n",
    "in a completely filled band every state is taken, so the band carries no current, whatever the\n",
    "velocities of its electrons. The number of carriers is therefore\n",
    "\n",
    "$$\\text{carrier number} = \\text{number of states} \\times \\text{filling factor},$$\n",
    "\n",
    "Klimeck's apartment building: the total number of occupants is the number of apartments times the\n",
    "fraction occupied, and the lower floors are full while the upper floors are nearly empty.\n",
    "\n",
    "![Slide 5: carrier number as states times filling](attachment:slide_005_crop.png)\n",
    "\n",
    "*Slide 5: carrier number = number of states × filling factor; the occupants of an apartment building fill the lower floors first.*\n",
    "\n",
    "In equilibrium the filling factor is the Fermi–Dirac function $f(E) = 1/(1 + e^{(E-E_F)/k_BT})$,\n",
    "with the Fermi level $E_F$ fixed by the number of electrons. Each band of the crystal holds two\n",
    "electrons per period (one state per period for each spin). The cell fills the Kronig–Penney crystal\n",
    "with 1 to 4 electrons per period at 300 K and measures how many respond to a field. In the\n",
    "relaxation-time picture the conductivity is proportional to\n",
    "\n",
    "$$\\frac{n_\\text{eff}}{m_0} = \\frac{2}{L}\\sum_{n,k} v_n(k)^2 \\left(-\\frac{\\partial f}{\\partial E}\\right),$$\n",
    "\n",
    "which equals $n/m_0$ for free electrons of density $n$. $n_\\text{eff}$, per period, counts the\n",
    "electrons that move like free electrons; only states near $E_F$ contribute."
   ],
   "attachments": {
    "slide_005_crop.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "545364cb",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:49:34.098071Z",
     "iopub.status.busy": "2026-10-24T22:49:34.097990Z",
     "iopub.status.idle": "2026-10-24T22:49:34.336426Z",
     "shell.execute_reply": "2026-10-24T22:49:34.336000Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " electrons/period   E_F (eV)   band filling                  n_eff per period\n",
      "         1            1.226   1.000  0.000  0.000         6.102e-01\n",
      "         2            2.843   2.000  0.000  0.000         6.468e-19\n",
      "         3            4.917   2.000  1.000  0.000         2.264e+00\n",
      "         4            7.471   2.000  2.000  0.000         1.150e-19\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1210x418 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "kT = KB * 300.0\n",
    "E_all = bands.ravel()\n",
    "\n",
    "\n",
    "def electrons_per_period(ef, kt=kT):\n",
    "    return 2 * np.mean(np.sum(expit((ef - bands) / kt), axis=1))\n",
    "\n",
    "\n",
    "def n_eff(ef, kt=kT):\n",
    "    x = (bands - ef) / kt\n",
    "    minus_df = np.exp(-np.abs(x)) / (1 + np.exp(-np.abs(x))) ** 2 / (kt * Q)  # -df/dE in 1/J, overflow-safe\n",
    "    return 2 * np.mean(np.sum(M0 * v**2 * minus_df, axis=1))  # per period (dimensionless)\n",
    "\n",
    "\n",
    "print(\" electrons/period   E_F (eV)   band filling                  n_eff per period\")\n",
    "rows = []\n",
    "for ne in (1, 2, 3, 4):\n",
    "    ef = brentq(lambda e: electrons_per_period(e) - ne, 0.0, 25.0)\n",
    "    fill = [2 * np.mean(expit((ef - bands[:, j]) / kT)) for j in range(3)]\n",
    "    rows.append((ne, ef, n_eff(ef)))\n",
    "    print(\n",
    "        f\"{ne:10d}         {ef:8.3f}   \" + \"  \".join(f\"{x:5.3f}\" for x in fill) + f\"         {n_eff(ef):.3e}\"\n",
    "    )\n",
    "\n",
    "ef_grid = np.linspace(0.5, 10, 400)\n",
    "fig, (a1, a2) = plt.subplots(1, 2, figsize=(11, 3.8))\n",
    "a1.plot(ef_grid, [electrons_per_period(e) for e in ef_grid], color=style.OPEN_NEMO)\n",
    "a1.set(xlabel=\"Fermi level E_F (eV)\", ylabel=\"electrons per period\", title=\"all electrons: states × filling\")\n",
    "a2.semilogy(ef_grid, [max(n_eff(e), 1e-30) for e in ef_grid], color=style.OPEN_NEMO)\n",
    "for ne, ef, _ in rows:\n",
    "    a2.axvline(ef, color=style.sweep(4)[ne - 1], ls=\":\", label=f\"{ne} electron{'s' if ne > 1 else ''}/period\")\n",
    "a2.set(\n",
    "    xlabel=\"Fermi level E_F (eV)\",\n",
    "    ylabel=\"n_eff per period\",\n",
    "    ylim=(1e-30, 10),\n",
    "    title=\"electrons that respond to a field\",\n",
    ")\n",
    "a2.legend(frameon=False, fontsize=8)\n",
    "fig.tight_layout();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "07494d48",
   "metadata": {},
   "source": [
    "The count of electrons rises in steps of two per band, but the number that responds to a field does\n",
    "not follow it. With 1 or 3 electrons per period a band is half filled, $E_F$ sits inside it, and the\n",
    "crystal is a metal: $n_\\text{eff}$ is 0.61 and 2.26 electrons per period (smaller than the electron\n",
    "count of the half-filled band 1, whose electrons are heavy and slow; larger than that of band 2,\n",
    "whose curvature is strong).\n",
    "With 2 or 4 electrons per period the bands are exactly full, $E_F$ lies in a gap, and $n_\\text{eff}$\n",
    "collapses to $6.5\\times10^{-19}$ and $1.2\\times10^{-19}$: only the electrons thermally lifted across the\n",
    "2.31 and 2.57 eV gaps can move. The crystal holds the same kind of electrons in all four cases; what differs is whether empty\n",
    "states are available next to them. This is the answer to $n \\ne N\\times\\rho$, and the reason a\n",
    "semiconductor is described by its bands (the number of states, Chapters 2–3 of the course textbook)\n",
    "and by their filling (statistics, Chapter 4).\n",
    "\n",
    "## 3. Outlook: the Schrödinger equation\n",
    "\n",
    "Composition and arrangement of the atoms fix the potential; quantum mechanics turns the potential\n",
    "into states and statistical mechanics fills them, which gives the electron density. The next step of\n",
    "the course is the equation that does the first part. Klimeck motivates it rather than deriving it: it\n",
    "arises from the quantization of energy, $E = hf = \\hbar\\omega$, and momentum, $p = \\hbar k$, applied\n",
    "to a wave $e^{i(kx - \\omega t)}$ together with the energy relation of a particle. Lecture 5 writes it\n",
    "down and solves the simplest problems: the free electron, the potential step and the particle in a\n",
    "box.\n",
    "\n",
    "## Summary\n",
    "\n",
    "- An electron in a crystal moves in a periodic potential. In a Kronig–Penney crystal of 8 eV deep,\n",
    "  0.4 nm wide wells, open-nemo's bands agree with the analytic band edges to 0.034 eV or better.\n",
    "- Deep bands are narrow and slow (band 1: 0.623 eV wide, at most $2.4\\times10^5$ m/s), higher bands\n",
    "  are wider, and above the barriers the electrons move nearly freely: bound, loosely bound and free\n",
    "  electrons in one picture.\n",
    "- Carrier number = number of states × filling. Each band holds 2 electrons per period. With 1 or 3\n",
    "  electrons per period the crystal conducts ($n_\\text{eff}$ = 0.61 and 2.26 per period at 300 K);\n",
    "  with 2 or 4 the bands are full and $n_\\text{eff}$ falls below $10^{-18}$.\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Make the barriers thicker ($b$ = 0.2 nm). How do the width of band 1 and its maximum velocity\n",
    "   change? Relate the change to the tunnelling factor $e^{-\\beta b}$.\n",
    "2. Raise the temperature to 3000 K in section 2. How large does $n_\\text{eff}$ become for 2 electrons\n",
    "   per period, and how does it compare with $e^{-E_g/2k_BT}$?\n",
    "3. Compare the curvature of band 1 at $k = 0$ with $\\hbar^2/2m^*$ and find the effective mass $m^*$.\n",
    "   Does $n_\\text{eff}$ for 1 electron per period scale like $m_0/m^*$?\n",
    "\n",
    "## Further reading\n",
    "\n",
    "- [Lecture 4.2: The advent of quantum mechanics](04_2_advent_of_quantum_mechanics.ipynb)\n",
    "- [Lecture 5: Analytical solutions for free and bound electrons](05_0_free_and_bound_electrons.ipynb)\n",
    "- [Lecture 6.4: Tunnelling through N barriers: formation of bandstructure](../03_tunneling_and_bandstructure/06_4_n_barriers_and_bands.ipynb)\n",
    "- [Lecture 7.2: Bandstructure solutions](../03_tunneling_and_bandstructure/07_2_bandstructure_solutions.ipynb)\n",
    "- [Periodic potential lab](../../book/15_benchmarks/15_05_nanohub_tools/15_05_01_band_structures_and_barriers/15_05_01_05_periodic_potential_lab.ipynb)\n",
    "- R. de L. Kronig, W. G. Penney, *Proc. R. Soc. Lond. A* **130**, 499 (1931)."
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