{
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   "id": "406ef178",
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   "source": [
    "# ECE 606 Lecture 7.1: Band structure in a periodic potential — problem formulation\n",
    "\n",
    "*From* [Nanoelectronic Modeling — From Atoms to Devices](https://nanohub.org/resources/45001), *Gerhard Klimeck, Purdue University. Lecture page:* [nanoHUB resource 37111](https://nanohub.org/resources/37111) — [video](https://nanohub.org/resources/37779) · [slides](https://nanohub.org/resources/37778) · [YouTube](https://youtube.com/watch?v=F1hyHgwQg5I)\n",
    "\n",
    "**In this lecture**\n",
    "\n",
    "- from $N$ barriers to infinitely many: when the structure is long, the electron cannot tell it from a periodic one\n",
    "- the smallest unit cell, a well of width $a$ and a barrier of width $b$, period $L = a + b$\n",
    "- Bloch's theorem $\\psi(x + L) = e^{ikL}\\psi(x)$, and a ring of $N$ cells that makes the allowed wave numbers $k = 2\\pi n/(NL)$ with $-\\pi/L \\le k < \\pi/L$\n",
    "- the five steps of the analytical solution adapted to a periodic system: four boundary conditions in one cell, one of them carrying the phase $e^{ikL}$\n",
    "- the determinant condition $\\cos kL = f(E/U_0)$, the Kronig–Penney equation\n",
    "\n",
    "**In this notebook** builds a ring of identical cells with open-nemo's discretized Hamiltonian and shows that its eigenvalues are those of single-cell Bloch problems at $k = 2\\pi n/(NL)$, sets up the 4×4 boundary-condition matrix of the lecture and checks that its determinant is the Kronig–Penney function, compares the analytical bands with `nemo.lead_bands`, and explores the complex wave numbers in the gaps with `nemo.complex_bands`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6d60fc86",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:26:15.503177Z",
     "iopub.status.busy": "2026-10-25T17:26:15.502911Z",
     "iopub.status.idle": "2026-10-25T17:26:15.962736Z",
     "shell.execute_reply": "2026-10-25T17:26:15.962374Z"
    }
   },
   "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": "6cd2ff57",
   "metadata": {},
   "source": [
    "## 1. From many barriers to a periodic potential\n",
    "\n",
    "In Lecture 6.4 a stack of $N$ barriers produced $N - 1$ transmission resonances that lined up into\n",
    "bands as $N$ grew. A real solid has of the order of $10^{23}$ atoms; an explicit calculation with\n",
    "two unknown coefficients per region is out of the question. The way out is to treat the structure\n",
    "as infinitely repeated. Far from its ends an electron cannot distinguish a long stack from a\n",
    "periodic potential $U(x + L) = U(x)$, and periodicity can be exploited analytically.\n",
    "\n",
    "![Slide 3: transmission through repeated wells](attachment:slide_003.png)\n",
    "\n",
    "*Slide 3: $n$ barriers give $n - 1$ resonances; with 10, 20 and 30 barriers the resonances fill\n",
    "energy bands. What if the number of wells is infinite?*\n",
    "\n",
    "The computational unit is the smallest repeating cell. As in the lecture it contains one well of\n",
    "width $a$, where the potential is 0, and one barrier of width $b$ and height $U_0$: period\n",
    "$L = a + b$. The numbers used throughout are those of the lecture's GaAs example in Lecture 7.2:\n",
    "$a = 6$ nm, $b = 2$ nm, $U_0 = 0.4$ eV, effective mass $m = 0.067\\,m_0$ in both materials.\n",
    "\n",
    "![Slide 10: the unit cell and the ansatz](attachment:slide_010.png)\n",
    "\n",
    "*Slide 10: sinusoids in the well, exponentials in the barrier. $N$ cells would have $2N$ unknown\n",
    "constants; for large $N$ a better way is needed.*"
   ],
   "attachments": {
    "slide_003.png": {
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"
    },
    "slide_010.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "eab8c2bd",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:26:15.963998Z",
     "iopub.status.busy": "2026-10-25T17:26:15.963896Z",
     "iopub.status.idle": "2026-10-25T17:26:15.967120Z",
     "shell.execute_reply": "2026-10-25T17:26:15.966773Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "one cell: 160 sites of 0.05 nm, period L = 8.0 nm, t0 = 227.46 eV\n"
     ]
    }
   ],
   "source": [
    "M, A, B, U0, DX = 0.067, 6.0, 2.0, 0.4, 0.05\n",
    "L = A + B\n",
    "\n",
    "cell = nemo.Heterostructure1D(\n",
    "    [nemo.Layer(EM(\"GaAs\", M, 12.9), A), nemo.Layer(EM(\"barrier\", M, 12.9, conduction_band_edge=U0), B)],\n",
    "    spacing=DX,\n",
    ")\n",
    "h = cell.hamiltonian.sparse.dense().real  # one cell, end sites already carry 2t0 on the diagonal\n",
    "V = np.zeros_like(h)\n",
    "V[-1, 0] = -H2M0 / (M * DX**2)  # bond from the last site of a cell to the first of the next\n",
    "print(f\"one cell: {cell.num_sites} sites of {DX} nm, period L = {L} nm, t0 = {-V[-1, 0]:.2f} eV\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "94110347",
   "metadata": {},
   "source": [
    "## 2. Bloch's theorem and the ring of N cells\n",
    "\n",
    "If $U$ is periodic, $|\\psi|^2$ must be periodic too: the electron density in one cell is the same\n",
    "as in the next. The wave function itself may differ by a phase,\n",
    "\n",
    "$$\\psi(x + L) = e^{ikL}\\,\\psi(x),$$\n",
    "\n",
    "Bloch's theorem, after the Swiss-American physicist Felix Bloch. The $k$ here labels the phase per\n",
    "cell; it is not the local wave number $\\sqrt{2mE}/\\hbar$ of the earlier lectures. Across $N$ cells\n",
    "the phase accumulates to $e^{ikNL}$. Klimeck's thought experiment (\"Gedanken experiment\") closes the\n",
    "chain of $N$ cells into a ring, so that cell $N + 1$ is cell 1 again. Then $e^{ikNL} = 1$, and\n",
    "\n",
    "$$k = \\frac{2\\pi n}{NL}, \\qquad n = -\\frac N2, \\dots, \\frac N2 - 1,\n",
    "\\qquad -\\frac{\\pi}{L} \\le k < \\frac{\\pi}{L}.$$\n",
    "\n",
    "$N$ is arbitrary but fixed; it sets how densely $k$ is sampled, not which energies are possible.\n",
    "\n",
    "![Slide 14: the periodic boundary condition](attachment:slide_014.png)\n",
    "\n",
    "*Slide 14: the ring of $N$ cells, $e^{ikLN} = 1$, and the range $k_\\mathrm{min} = -\\pi/L$,\n",
    "$k_\\mathrm{max} = \\pi/L$.*\n",
    "\n",
    "The theorem can be tested directly. The ring Hamiltonian of $N$ cells is block-circulant: the cell\n",
    "matrix $h$ on the diagonal and the inter-cell bond $V$ between neighbours, including the bond from\n",
    "cell $N$ back to cell 1. Its eigenvalues are compared with those of the one-cell Bloch Hamiltonian\n",
    "$H(k) = h + Ve^{ikL} + V^Te^{-ikL}$ at the $N$ allowed values of $k$."
   ],
   "attachments": {
    "slide_014.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "be0ff8c9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:26:15.968068Z",
     "iopub.status.busy": "2026-10-25T17:26:15.968006Z",
     "iopub.status.idle": "2026-10-25T17:26:16.091580Z",
     "shell.execute_reply": "2026-10-25T17:26:16.091169Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ring of 8 cells: 1280 sites; one cell: 160 sites\n",
      "largest difference between the lowest 16 ring eigenvalues and the Bloch eigenvalues: 6.7e-13 eV\n",
      "  n    k (1/nm)   band 1 (eV)   band 2 (eV)\n",
      "  -4   -0.3927     0.09611      0.23989\n",
      "  -3   -0.2945     0.08922      0.25646\n",
      "  -2   -0.1963     0.07595      0.29789\n",
      "  -1   -0.0982     0.06547      0.35001\n",
      "   0    0.0000     0.06166      0.38225\n",
      "   1    0.0982     0.06547      0.35001\n",
      "   2    0.1963     0.07595      0.29789\n",
      "   3    0.2945     0.08922      0.25646\n"
     ]
    }
   ],
   "source": [
    "N = 8\n",
    "S = np.roll(np.eye(N), 1, axis=1)  # S[j, j+1] = 1, and S[N-1, 0] = 1 closes the ring\n",
    "H_ring = np.kron(np.eye(N), h) + np.kron(S, V) + np.kron(S.T, V.T)\n",
    "E_ring = np.linalg.eigvalsh(H_ring)\n",
    "\n",
    "\n",
    "def bloch_h(k):\n",
    "    return h + V * np.exp(1j * k * L) + V.T * np.exp(-1j * k * L)\n",
    "\n",
    "\n",
    "ks = 2 * np.pi * np.arange(-N // 2, N // 2) / (N * L)\n",
    "E_bloch = np.array([np.linalg.eigvalsh(bloch_h(k))[:3] for k in ks])  # (N k values, 3 bands)\n",
    "lowest = np.sort(E_bloch.ravel())[: 2 * N]\n",
    "print(f\"ring of {N} cells: {H_ring.shape[0]} sites; one cell: {h.shape[0]} sites\")\n",
    "print(\n",
    "    f\"largest difference between the lowest {2 * N} ring eigenvalues and the Bloch eigenvalues: \"\n",
    "    f\"{np.abs(E_ring[: 2 * N] - lowest).max():.1e} eV\"\n",
    ")\n",
    "print(\"  n    k (1/nm)   band 1 (eV)   band 2 (eV)\")\n",
    "for n, k, e in zip(range(-N // 2, N // 2), ks, E_bloch):\n",
    "    print(f\" {n:3d}   {k:7.4f}     {e[0]:.5f}      {e[1]:.5f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "33040d78",
   "metadata": {},
   "source": [
    "The $8 \\times 160 = 1280$-site ring and eight 160-site Bloch problems give the same eigenvalues to\n",
    "round-off. Every band contains exactly $N = 8$ states, one per allowed $k$; states at $+k$ and\n",
    "$-k$ are degenerate, and the lowest band runs from 0.0617 eV at $k = 0$ to 0.0961 eV at the zone\n",
    "boundary $k = -\\pi/L$. This is the computational gain of Bloch's theorem: an $N$-cell problem\n",
    "becomes $N$ one-cell problems, and $N$ can then be made as large as desired at no extra cost per\n",
    "state.\n",
    "\n",
    "## 3. The boundary conditions in one cell\n",
    "\n",
    "The lecture now follows the five steps of the analytical solution, with two changes. The edge\n",
    "conditions are replaced by Bloch's theorem, and the interface conditions are written for one\n",
    "cell. Put the barrier at $-b < x < 0$ and the well at $0 < x < a$, with\n",
    "\n",
    "$$\\psi_a = A_a\\sin\\alpha x + B_a\\cos\\alpha x, \\qquad \\psi_b = A_b\\sin\\beta x + B_b\\cos\\beta x,$$\n",
    "\n",
    "$$\\alpha = \\frac{\\sqrt{2mE}}{\\hbar}, \\qquad \\beta = \\frac{\\sqrt{2m(E - U_0)}}{\\hbar}.$$\n",
    "\n",
    "Below the barrier top $\\beta$ is imaginary, $\\beta = i\\gamma$, and $\\sin\\beta x$, $\\cos\\beta x$ become\n",
    "hyperbolic functions. Continuity of $\\psi$ and $\\psi'$ at $x = 0$ gives $B_a = B_b$ and\n",
    "$\\alpha A_a = \\beta A_b$. At the other end of the well, $x = a$ must be matched to $x = -b$ of the\n",
    "next cell, shifted by the Bloch phase:\n",
    "\n",
    "$$\\psi_a(a) = e^{ikL}\\psi_b(-b), \\qquad \\psi_a'(a) = e^{ikL}\\psi_b'(-b).$$\n",
    "\n",
    "Four homogeneous equations for $(A_a, B_a, A_b, B_b)$; a solution exists where the determinant of\n",
    "the 4×4 matrix vanishes.\n",
    "\n",
    "![Slide 16: the determinant condition](attachment:slide_016.png)\n",
    "\n",
    "*Slide 16: the 4×4 system and its determinant condition, written with $\\xi = E/U_0$ and\n",
    "$\\alpha_0 = \\sqrt{2mU_0}/\\hbar$.*\n",
    "\n",
    "Working out the determinant gives\n",
    "\n",
    "$$\\det = -2\\alpha\\beta\\,e^{ikL}\\left[f(E) - \\cos kL\\right], \\qquad\n",
    "f(E) = \\cos\\alpha a\\,\\cos\\beta b - \\frac{\\alpha^2 + \\beta^2}{2\\alpha\\beta}\\sin\\alpha a\\,\\sin\\beta b .$$\n",
    "\n",
    "Below the barrier top, with $\\beta = i\\gamma$ and $\\xi = E/U_0$, this is the slide's form\n",
    "\n",
    "$$\\cos kL = \\cos\\!\\left(\\alpha_0a\\sqrt{\\xi}\\right)\\cosh\\!\\left(\\alpha_0b\\sqrt{1-\\xi}\\right)\n",
    "+ \\frac{1 - 2\\xi}{2\\sqrt{\\xi(1-\\xi)}}\\sin\\!\\left(\\alpha_0a\\sqrt{\\xi}\\right)\\sinh\\!\\left(\\alpha_0b\\sqrt{1-\\xi}\\right),$$\n",
    "\n",
    "the Kronig–Penney equation. The factorization is checked numerically below at random energies and\n",
    "wave numbers."
   ],
   "attachments": {
    "slide_016.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e94e9f79",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:26:16.092634Z",
     "iopub.status.busy": "2026-10-25T17:26:16.092555Z",
     "iopub.status.idle": "2026-10-25T17:26:16.098647Z",
     "shell.execute_reply": "2026-10-25T17:26:16.098243Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "det(4×4) against −2αβ e^(ikL) [f(E) − cos kL], 200 random (E, k): largest relative difference 1.7e-14\n",
      "slide's ξ form against f(E) below the top: largest difference 3.6e-15\n"
     ]
    }
   ],
   "source": [
    "def bc_matrix(E, k):\n",
    "    \"\"\"Rows: ψ and ψ' at x = 0; ψ and ψ' at x = a matched to x = -b times e^{ikL}.\n",
    "\n",
    "    Unknowns A_a, B_a, A_b, B_b.\"\"\"\n",
    "    al, be, p = np.sqrt(M * E / H2M0 + 0j), np.sqrt(M * (E - U0) / H2M0 + 0j), np.exp(1j * k * L)\n",
    "    return np.array(\n",
    "        [\n",
    "            [0, 1, 0, -1],\n",
    "            [al, 0, -be, 0],\n",
    "            [np.sin(al * A), np.cos(al * A), p * np.sin(be * B), -p * np.cos(be * B)],\n",
    "            [al * np.cos(al * A), -al * np.sin(al * A), -p * be * np.cos(be * B), -p * be * np.sin(be * B)],\n",
    "        ]\n",
    "    )\n",
    "\n",
    "\n",
    "def kp_f(E):\n",
    "    \"\"\"Right-hand side f(E) of cos kL = f(E); real for real E, below and above the barrier top.\"\"\"\n",
    "    al, be = np.sqrt(M * E / H2M0 + 0j), np.sqrt(M * (E - U0) / H2M0 + 0j)\n",
    "    return (\n",
    "        np.cos(al * A) * np.cos(be * B) - (al**2 + be**2) / (2 * al * be) * np.sin(al * A) * np.sin(be * B)\n",
    "    ).real\n",
    "\n",
    "\n",
    "def kp_slide(xi):\n",
    "    \"\"\"The slide's form with ξ = E/U0 < 1.\"\"\"\n",
    "    a0 = np.sqrt(M * U0 / H2M0)\n",
    "    sa, sb = a0 * A * np.sqrt(xi), a0 * B * np.sqrt(1 - xi)\n",
    "    return np.cos(sa) * np.cosh(sb) + (1 - 2 * xi) / (2 * np.sqrt(xi * (1 - xi))) * np.sin(sa) * np.sinh(sb)\n",
    "\n",
    "\n",
    "rng = np.random.default_rng(1)\n",
    "worst = 0.0\n",
    "for E, k in zip(rng.uniform(0.01, 0.8, 200), rng.uniform(-np.pi / L, np.pi / L, 200)):\n",
    "    al, be = np.sqrt(M * E / H2M0 + 0j), np.sqrt(M * (E - U0) / H2M0 + 0j)\n",
    "    predicted = -2 * al * be * np.exp(1j * k * L) * (kp_f(E) - np.cos(k * L))\n",
    "    worst = max(worst, abs(np.linalg.det(bc_matrix(E, k)) - predicted) / abs(predicted))\n",
    "print(\n",
    "    \"det(4×4) against −2αβ e^(ikL) [f(E) − cos kL], 200 random (E, k): largest relative difference \"\n",
    "    f\"{worst:.1e}\"\n",
    ")\n",
    "xi = np.linspace(0.01, 0.99, 99)\n",
    "print(\n",
    "    \"slide's ξ form against f(E) below the top: largest difference \"\n",
    "    f\"{np.abs(kp_slide(xi) - kp_f(xi * U0)).max():.1e}\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9d82745c",
   "metadata": {},
   "source": [
    "The determinant of the lecture's 4×4 matrix equals $-2\\alpha\\beta e^{ikL}[f(E) - \\cos kL]$ to\n",
    "round-off at every tested point, and the slide's $\\xi$ form is the same function below the barrier\n",
    "top. The \"reasonably horrendous\" result, in Klimeck's words, is a single real function $f(E)$\n",
    "compared with $\\cos kL$.\n",
    "\n",
    "## 4. Bands from the Kronig–Penney equation and from open-nemo\n",
    "\n",
    "Since $|\\cos kL| \\le 1$, real $k$ exists only where $|f(E)| \\le 1$: these energies form the bands.\n",
    "Inverting gives $k(E) = \\arccos(f(E))/L$, the band structure. The same bands follow from the\n",
    "discretized Hamiltonian of one cell, used as a periodic lead by `nemo.lead_bands`. A third,\n",
    "independent check is the transfer matrix of Lecture 6.1: for one period, $\\cos kL = \\tfrac12\\operatorname{Tr}M$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f5fe3af9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:26:16.099608Z",
     "iopub.status.busy": "2026-10-25T17:26:16.099546Z",
     "iopub.status.idle": "2026-10-25T17:26:16.325685Z",
     "shell.execute_reply": "2026-10-25T17:26:16.325124Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "band edges from |f(E)| = 1 (eV):      [0.0617 0.0961 0.2399 0.3823 0.5287]\n",
      "band edges from open-nemo, k = 0 and π/L: [0.0617 0.0961 0.2399 0.3822 0.5286 0.8521]\n",
      "½ Tr M against f(E) on 50 energies: largest difference 8.9e-16\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1210x495 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.optimize import brentq\n",
    "\n",
    "lead = nemo.Lead(h, V)\n",
    "bs = nemo.lead_bands(lead, npts=201, period=L)\n",
    "kq = bs[\"k\"][:, 0]\n",
    "\n",
    "E = np.linspace(0.001, 0.8, 8000)\n",
    "f = kp_f(E)\n",
    "allowed = np.abs(f) <= 1\n",
    "edges = E[np.nonzero(np.diff(allowed.astype(int)))[0]]\n",
    "edges = [brentq(lambda e: abs(kp_f(e)) - 1, e0 - 2e-4, e0 + 2e-4) for e0 in edges]\n",
    "print(\"band edges from |f(E)| = 1 (eV):     \", np.round(edges, 4))\n",
    "print(\n",
    "    \"band edges from open-nemo, k = 0 and π/L:\",\n",
    "    np.round(\n",
    "        np.sort(np.concatenate([lead.bands(np.array([0.0]))[0][:3], lead.bands(np.array([np.pi]))[0][:3]])), 4\n",
    "    ),\n",
    ")\n",
    "\n",
    "\n",
    "def cell_transfer_trace(E):\n",
    "    \"\"\"½ Tr of the one-period transfer matrix (well then barrier), Lecture 6.1 conventions.\"\"\"\n",
    "    al, be = np.sqrt(M * E / H2M0 + 0j), np.sqrt(M * (E - U0) / H2M0 + 0j)\n",
    "\n",
    "    def layer(q, d):  # propagates (ψ, ψ') across a layer of width d\n",
    "        return np.array([[np.cos(q * d), np.sin(q * d) / q], [-q * np.sin(q * d), np.cos(q * d)]])\n",
    "\n",
    "    return 0.5 * np.trace(layer(be, B) @ layer(al, A)).real\n",
    "\n",
    "\n",
    "print(\n",
    "    f\"½ Tr M against f(E) on 50 energies: largest difference \"\n",
    "    f\"{max(abs(cell_transfer_trace(e) - kp_f(e)) for e in np.linspace(0.01, 0.8, 50)):.1e}\"\n",
    ")\n",
    "\n",
    "fig, (a1, a2) = plt.subplots(1, 2, figsize=(11, 4.5), sharey=True)\n",
    "a1.plot(f, E, **style.series())\n",
    "a1.axvspan(-1, 1, color=style.CONTEXT, alpha=0.15, lw=0)\n",
    "a1.set(\n",
    "    xlabel=\"f(E) = cos kL\", ylabel=\"energy (eV)\", xlim=(-4, 4), ylim=(0, 0.8), title=\"Kronig–Penney function\"\n",
    ")\n",
    "kE = np.where(allowed, np.arccos(np.clip(f, -1, 1)) / L, np.nan)\n",
    "a2.plot(\n",
    "    kE * L / np.pi, E, **style.series(\"reference\"), label=\"Kronig–Penney: k = arccos f(E) / L\"\n",
    ")\n",
    "for n in range(4):\n",
    "    a2.plot(\n",
    "        kq * L / np.pi,\n",
    "        bs[\"energies\"][:, n],\n",
    "        \".\",\n",
    "        ms=2,\n",
    "        **style.series(),\n",
    "        label=\"open-nemo lead_bands\" if n == 0 else None,\n",
    "    )\n",
    "for ax in (a1, a2):\n",
    "    for e in edges:\n",
    "        ax.axhline(e, color=style.CONTEXT, lw=0.5, ls=\":\")\n",
    "a2.axhline(U0, color=style.CONTEXT, lw=0.8)\n",
    "a2.set(xlabel=\"k L / π\", xlim=(-1, 1), title=f\"a = {A} nm, b = {B} nm, U0 = {U0} eV\")\n",
    "a2.legend(frameon=False, fontsize=8, loc=\"center right\")\n",
    "fig.tight_layout();"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "000f0876",
   "metadata": {},
   "source": [
    "Where the curve $f(E)$ lies inside the grey strip $|f| \\le 1$ there are Bloch states; where it\n",
    "leaves the strip there are none. The Kronig–Penney equation, the one-period transfer matrix and the\n",
    "discretized Hamiltonian give the same bands, the last within the small grid error of the 0.05 nm\n",
    "spacing. The two bands below the barrier top are those found with transmission through 19 barriers\n",
    "in Lecture 6.4 (0.062–0.096 eV and 0.240–0.382 eV). Above the barrier top the bands continue;\n",
    "the gap above the top (0.382–0.529 eV) is as wide as the first. Lecture 7.2 reads this figure in detail.\n",
    "\n",
    "## 5. Exploration: complex wave numbers in the gaps\n",
    "\n",
    "In a gap $|f(E)| > 1$, and $\\cos kL = f$ has no real solution. It has complex ones: $k = i\\kappa$\n",
    "where $f > 1$, and $k = \\pi/L + i\\kappa$ where $f < -1$, with\n",
    "\n",
    "$$\\kappa L = \\operatorname{arccosh}|f(E)|.$$\n",
    "\n",
    "The wave then decays by $e^{-\\kappa L}$ per period; these evanescent Bloch states are what made the\n",
    "transmission through $N$ barriers in the gaps fall exponentially with $N$ (Lecture 6.4).\n",
    "`nemo.complex_bands` computes them from the same lead."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d2906c0f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T17:26:16.326945Z",
     "iopub.status.busy": "2026-10-25T17:26:16.326841Z",
     "iopub.status.idle": "2026-10-25T17:26:16.897195Z",
     "shell.execute_reply": "2026-10-25T17:26:16.896555Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "largest |κ open-nemo − κ Kronig–Penney| in the gaps: 1.0e-03 1/nm (κ up to 0.351 1/nm)\n",
      "at 0.170 eV (first gap): κ = 0.160 1/nm, decay per period e^(-κL) = 0.278\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 825x440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Eg = np.linspace(0.005, 0.6, 300)\n",
    "cb = nemo.complex_bands(lead, Eg, period=L)\n",
    "kappa_nemo = np.nanmin(np.abs(cb[\"k_imag\"]), axis=1)  # slowest-decaying mode\n",
    "fg = kp_f(Eg)\n",
    "kappa_kp = np.where(np.abs(fg) > 1, np.arccosh(np.maximum(np.abs(fg), 1)) / L, 0.0)\n",
    "gap = np.abs(fg) > 1.001\n",
    "print(\n",
    "    \"largest |κ open-nemo − κ Kronig–Penney| in the gaps: \"\n",
    "    f\"{np.abs(kappa_nemo - kappa_kp)[gap].max():.1e} 1/nm \"\n",
    "    f\"(κ up to {kappa_kp.max():.3f} 1/nm)\"\n",
    ")\n",
    "i = np.argmin(np.abs(Eg - 0.17))\n",
    "print(\n",
    "    f\"at {Eg[i]:.3f} eV (first gap): κ = {kappa_kp[i]:.3f} 1/nm, decay per period e^(-κL) = \"\n",
    "    f\"{np.exp(-kappa_kp[i] * L):.3f}\"\n",
    ")\n",
    "fig, ax = plt.subplots(figsize=(7.5, 4))\n",
    "ax.plot(kappa_kp, Eg, **style.series(\"reference\"), label=\"arccosh|f(E)| / L\")\n",
    "ax.plot(kappa_nemo, Eg, **style.series(lw=1), label=\"open-nemo complex_bands\")\n",
    "ax.set(xlabel=\"κ = Im k (1/nm)\", ylabel=\"energy (eV)\", title=\"decay constant of the Bloch waves\")\n",
    "ax.legend(frameon=False, fontsize=8);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9b641549",
   "metadata": {},
   "source": [
    "In each gap $\\kappa$ rises from zero at one band edge to a maximum and falls back to zero at the\n",
    "next edge, and open-nemo's complex band structure follows the analytic $\\operatorname{arccosh}$ to 0.001 nm$^{-1}$.\n",
    "In the middle of the first gap the amplitude of the wave drops to a fraction $e^{-\\kappa L}$ per\n",
    "period, which is why a few periods of a superlattice already block electrons in a gap. The bands\n",
    "and the gaps are two faces of the same equation: real $k$ where $|f| \\le 1$, complex $k$ where\n",
    "$|f| > 1$.\n",
    "\n",
    "## Summary\n",
    "\n",
    "- A long periodic structure is modelled as infinitely repeated, with the smallest unit cell of\n",
    "  period $L = a + b$.\n",
    "- Bloch's theorem: $\\psi(x + L) = e^{ikL}\\psi(x)$. A ring of $N$ cells quantizes\n",
    "  $k = 2\\pi n/(NL)$ in $[-\\pi/L, \\pi/L)$, $N$ states per band; numerically the ring problem\n",
    "  splits into $N$ one-cell problems with identical eigenvalues.\n",
    "- The boundary conditions of one cell, the last two carrying the phase $e^{ikL}$, form a 4×4\n",
    "  system; its determinant is $-2\\alpha\\beta e^{ikL}[f(E) - \\cos kL]$.\n",
    "- Bands are where $|f(E)| \\le 1$ (Kronig–Penney equation, also $\\tfrac12\\operatorname{Tr}M$ of one\n",
    "  period); in the gaps $k$ is complex with $\\kappa L = \\operatorname{arccosh}|f|$.\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Repeat the ring test of Section 2 with $N = 5$ (odd). Which values of $n$ are allowed, and is\n",
    "   the zone-boundary state $k = -\\pi/L$ still present?\n",
    "2. Take the limit $U_0 \\to 0$ in $f(E)$ and show that the bands become the free-electron parabola\n",
    "   folded into $[-\\pi/L, \\pi/L]$.\n",
    "3. Take the limit $b \\to 0$, $U_0 \\to \\infty$ with $U_0b$ fixed (a Dirac comb) and derive the\n",
    "   simplified Kronig–Penney equation $\\cos kL = \\cos\\alpha a + P\\,\\sin\\alpha a/(\\alpha a)$.\n",
    "   Identify $P$.\n",
    "4. Give the barrier its own mass ($0.092\\,m_0$). Which entries of `bc_matrix` change (hint:\n",
    "   $\\psi'/m$ is continuous), and how does $f(E)$ change? Compare with `lead_bands` of a cell with\n",
    "   two materials.\n",
    "\n",
    "## Further reading\n",
    "\n",
    "- [Lecture 6.4: N barriers and the formation of bands](06_4_n_barriers_and_bands.ipynb) and\n",
    "  [Lecture 7.2: band structure solutions](07_2_bandstructure_solutions.ipynb).\n",
    "- [Superlattice minibands](../../book/04_resonant_tunneling_diodes/04_01_open_systems_and_wells/04_01_05_superlattice_minibands.ipynb):\n",
    "  Kronig–Penney minibands against open-nemo for a GaAs/AlGaAs superlattice.\n",
    "- [Benchmark: the 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",
    "- D. Mejia and G. Klimeck, \"Periodic Potential Lab\" (2019), [nanoHUB](https://nanohub.org/resources/kronigpenneylab),\n",
    "  DOI [10.21981/TT2Y-A185](https://doi.org/10.21981/TT2Y-A185)."
   ]
  }
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