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    "# Lecture 10.8: Introduction to transport — the Tsu–Esaki formula\n",
    "\n",
    "*From* [Nanoelectronic Modeling — From Atoms to Devices](https://nanohub.org/resources/45001), *Gerhard Klimeck, Purdue University. Lecture page:* [nanoHUB resource 45113](https://nanohub.org/resources/45113) — [video](https://nanohub.org/resources/45127) · [slides](https://nanohub.org/resources/45126)\n",
    "\n",
    "**In this lecture**\n",
    "\n",
    "- the Landauer formula for a layered (1-D) heterostructure in 3-D space: the sum over channels becomes a\n",
    "  triple integral over the longitudinal energy $E_z$ and the transverse momentum $\\mathbf k_\\perp$\n",
    "- three nested integrals are numerically demanding, especially when every transmission has sharp\n",
    "  resonances; can they be cut down to one?\n",
    "- two assumptions: the transmission does not depend on $\\mathbf k_\\perp$, $T(E_z, \\mathbf k_\\perp) = T(E_z)$, and the\n",
    "  problem is cylindrically symmetric in $\\mathbf k_\\perp$\n",
    "- the transverse integral of the Fermi function, done in polar coordinates with the substitution\n",
    "  $u = \\hbar^2k_r^2/2m^*k_BT$ and the identity $\\int_0^\\infty dx\\,(1 + e^{a + x})^{-1} = \\ln(1 + e^{-a})$\n",
    "- the result, the Tsu–Esaki formula, needs a single integral over $E_z$; in the 1990s even that was\n",
    "  computationally intense\n",
    "\n",
    "**In this notebook** you check the transverse kernel $B_{L,R}$ against a brute-force sum over a\n",
    "$(k_x, k_y)$ grid, check the Tsu–Esaki prefactor against open-nemo's `current_density`, compute the\n",
    "current of the double barrier both ways, look at the supply function and its low-temperature limit,\n",
    "and compute the I–V at 4, 77 and 300 K."
   ]
  },
  {
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     "iopub.execute_input": "2026-10-24T22:48:20.573867Z",
     "iopub.status.busy": "2026-10-24T22:48:20.573772Z",
     "iopub.status.idle": "2026-10-24T22:48:21.073094Z",
     "shell.execute_reply": "2026-10-24T22:48:21.072651Z"
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   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.integrate import quad\n",
    "import opennemo as nemo\n",
    "from opennemo.visualization import style\n",
    "from opennemo.structures.statistics import fermi, log1p_exp\n",
    "\n",
    "style.use(notebook=True)\n",
    "EM = nemo.structures.materials.EffectiveMassMaterial\n",
    "u = nemo.core.units\n",
    "H2M0, KB, Q, H, HBAR = u.HBAR2_2M0, u.KB, u.Q, u.H, u.HBAR    # eV nm², eV/K, C, eV s, eV s"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a9efcbba",
   "metadata": {},
   "source": [
    "## 1. The Landauer formula in three dimensions\n",
    "\n",
    "Lecture 10.7 turned the sum over channels into an integral over the transverse momentum. For a cross\n",
    "section $A$, two spins, and a device that is uniform in $x$ and $y$, the current density is\n",
    "\n",
    "$$J = \\frac{I}{A} = \\frac{2e}{h}\\int dE_z\\int\\frac{d^2k_\\perp}{(2\\pi)^2}\\,T(E_z, \\mathbf k_\\perp)\n",
    "\\left[f_L(E_z + E_\\perp) - f_R(E_z + E_\\perp)\\right],\\qquad E_\\perp = \\frac{\\hbar^2k_\\perp^2}{2m^*},$$\n",
    "\n",
    "with $f_{L,R}(E) = [1 + e^{(E - \\mu_{L,R})/k_BT}]^{-1}$. $T$ depends on $E_z$ through the 1-D problem, and\n",
    "$\\mathbf k_\\perp$ enters the Fermi functions through $E_\\perp$, and $T$ itself if the mass differs between\n",
    "regions or the bands are nonparabolic.\n",
    "\n",
    "![Slide 3: the Landauer formula for a 1-D heterostructure in 3-D, from a sum over channels to a triple integral](attachment:slide_003_crop.png)\n",
    "\n",
    "*Slide 3: channels and driving force; $\\sum_i \\to \\sum_{k_\\perp}\\int dE_z \\to \\frac{A}{(2\\pi)^2}\\iint d^2k_\\perp\\,dE_z$;\n",
    "the current density as a triple integral.*\n",
    "\n",
    "Klimeck's point on this slide is practical: finding the resonances of a single transmission\n",
    "coefficient was already laborious (Lecture 10.3), and the triple integral needs one such search per\n",
    "transverse momentum.\n",
    "\n",
    "## 2. Two assumptions and the transverse kernel\n",
    "\n",
    "The first assumption is that the transmission only depends on $E_z$: $T(E_z, \\mathbf k_\\perp) = T(E_z, 0)$.\n",
    "That is exact when the effective mass is the same everywhere (Lecture 10.7 showed this to round-off).\n",
    "$T$ can then be pulled out of the $\\mathbf k_\\perp$ integral,\n",
    "\n",
    "$$J = \\frac{2e}{(2\\pi)^2h}\\int T(E_z)\\,(B_L - B_R)\\,dE_z,\\qquad\n",
    "B_{L,R}(E_z) = \\int d^2k_\\perp\\,f_{L,R}(E_z + E_\\perp).$$\n",
    "\n",
    "The second assumption is cylindrical symmetry, so that $B$ depends only on $k_r = |\\mathbf k_\\perp|$. In\n",
    "polar coordinates, with $u = \\hbar^2k_r^2/2m^*k_BT$ (so $k_r\\,dk_r = (m^*k_BT/\\hbar^2)\\,du$) and\n",
    "$a = (E_z - \\mu_{L,R})/k_BT$,\n",
    "\n",
    "$$B_{L,R} = 2\\pi\\int_0^\\infty k_r\\,dk_r\\,f_{L,R}\\!\\left(E_z + \\frac{\\hbar^2k_r^2}{2m^*}\\right)\n",
    "= \\frac{2\\pi m^*k_BT}{\\hbar^2}\\int_0^\\infty\\frac{du}{1 + e^{a + u}}\n",
    "= \\frac{2\\pi m^*k_BT}{\\hbar^2}\\ln\\!\\left(1 + e^{(\\mu_{L,R} - E_z)/k_BT}\\right).$$\n",
    "\n",
    "The last step is the integral identity $\\int_0^\\infty dx\\,(1 + e^{a + x})^{-1} = \\ln(1 + e^{-a})$, which\n",
    "follows from the antiderivative $-\\ln(1 + e^{-a - x})$. Below, the identity is checked by quadrature and\n",
    "$B$ by a brute-force sum over a square $(k_x, k_y)$ grid, with no use of the cylindrical symmetry."
   ],
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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b86c3017",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:48:21.074387Z",
     "iopub.status.busy": "2026-10-24T22:48:21.074284Z",
     "iopub.status.idle": "2026-10-24T22:48:21.105384Z",
     "shell.execute_reply": "2026-10-24T22:48:21.105000Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a =  -10.0: quadrature 10.0000453989, ln(1 + e^-a) = 10.0000453989\n",
      "a =   -1.0: quadrature 1.3132616875, ln(1 + e^-a) = 1.3132616875\n",
      "a =    0.0: quadrature 0.6931471806, ln(1 + e^-a) = 0.6931471806\n",
      "a =    2.0: quadrature 0.1269280110, ln(1 + e^-a) = 0.1269280110\n",
      "a =   10.0: quadrature 0.0000453989, ln(1 + e^-a) = 0.0000453989\n",
      "\n",
      "  E_z - mu (meV)   brute force B (1/nm^2)   2 pi m kT/hbar^2 ln(1 + e^{(mu-E_z)/kT})\n",
      "      -100           0.555415                0.555415\n",
      "       -20           0.164672                0.164672\n",
      "         0           0.098997                0.098997\n",
      "        50           0.019283                0.019283\n",
      "       150           0.000431                0.000431\n"
     ]
    }
   ],
   "source": [
    "for a in (-10.0, -1.0, 0.0, 2.0, 10.0):\n",
    "    num = quad(lambda t: np.exp(-np.logaddexp(0.0, a + t)), 0.0, np.inf)[0]   # 1/(1 + e^{a+t})\n",
    "    print(f\"a = {a:6.1f}: quadrature {num:.10f}, ln(1 + e^-a) = {np.log1p(np.exp(-a)):.10f}\")\n",
    "\n",
    "m, T, mu = 0.067, 300.0, 0.05            # emitter mass (m0), K, eV\n",
    "kt = KB * T\n",
    "m_hbar2 = m / (2 * H2M0)                  # m*/ħ² in 1/(eV nm²)\n",
    "kx = np.linspace(-1.5, 1.5, 1201)        # 1/nm\n",
    "dk = kx[1] - kx[0]\n",
    "e_perp = H2M0 * (kx[:, None] ** 2 + kx[None, :] ** 2) / m\n",
    "print(\"\\n  E_z - mu (meV)   brute force B (1/nm^2)   2 pi m kT/hbar^2 ln(1 + e^{(mu-E_z)/kT})\")\n",
    "for ez in mu + np.array([-0.1, -0.02, 0.0, 0.05, 0.15]):\n",
    "    brute = np.sum(fermi(ez + e_perp, mu, T)) * dk**2\n",
    "    closed = 2 * np.pi * m_hbar2 * kt * log1p_exp((mu - ez) / kt)\n",
    "    print(f\"  {(ez - mu) * 1e3:8.0f}           {brute:.6f}                {closed:.6f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "306dbf25",
   "metadata": {},
   "source": [
    "The identity holds to ten digits, and the $(k_x, k_y)$ sum agrees with the closed form to the six digits\n",
    "shown, from 100 meV below to 150 meV above the Fermi level. $B$ is the number of occupied transverse\n",
    "states per area of $k$-space at a given $E_z$. It has two limits: for $E_z$ well above $\\mu$ (non-degenerate)\n",
    "$\\ln(1 + e^{-a}) \\to e^{-a}$, a Boltzmann tail; for $E_z$ well below $\\mu$ (degenerate) it becomes\n",
    "$(\\mu - E_z)/k_BT$, so $B \\to 2\\pi m^*(\\mu - E_z)/\\hbar^2$, the 2-D density of states times the depth below the\n",
    "Fermi level, independent of temperature.\n",
    "\n",
    "## 3. The Tsu–Esaki formula\n",
    "\n",
    "![Slide 7: the derivation completed, the Tsu–Esaki formula requiring a single integral in E_z](attachment:slide_007_crop.png)\n",
    "\n",
    "*Slide 7: the substitution, the integral identity, $B_{L,R}$, and the final formula, which \"requires a\n",
    "SINGLE integral in $E_z$\".*\n",
    "\n",
    "Putting $B_L - B_R$ back into $J$ gives\n",
    "\n",
    "$$J = \\frac{e\\,m^*k_BT}{2\\pi^2\\hbar^3}\\int T(E_z)\\,\n",
    "\\ln\\frac{1 + e^{(\\mu_L - E_z)/k_BT}}{1 + e^{(\\mu_R - E_z)/k_BT}}\\,dE_z .$$\n",
    "\n",
    "In open-nemo, `Heterostructure1D.current_density(E, T, mu_L, mu_R, temperature)` is this formula with the\n",
    "mass of the left contact. The prefactor in practical units: with $m^*/\\hbar^2$ in 1/(eV nm$^2$) and $e/\\hbar$\n",
    "in C/(eV s), $e m^*k_BT/(2\\pi^2\\hbar^3)$ times an energy integral in eV is a current per nm$^2$; one\n",
    "nm$^{-2}$ is $10^{14}$ cm$^{-2}$."
   ],
   "attachments": {
    "slide_007_crop.png": {
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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "103a77cc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:48:21.106672Z",
     "iopub.status.busy": "2026-10-24T22:48:21.106598Z",
     "iopub.status.idle": "2026-10-24T22:48:21.177255Z",
     "shell.execute_reply": "2026-10-24T22:48:21.176865Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "e m* kT / (2 pi^2 hbar^3) = 2.8031e+07 A/cm^2 per eV at 300 K\n",
      "V = 0.1 V: hand-coded Tsu-Esaki 11573.05 A/cm^2, dev.current_density 11573.05 A/cm^2\n"
     ]
    }
   ],
   "source": [
    "gaas = EM(\"GaAs\", m, 12.9)\n",
    "algaas = EM(\"AlGaAs\", m, 12.2, conduction_band_edge=0.3)       # equal mass: Tsu-Esaki is exact\n",
    "layers = [nemo.Layer(mat, w) for mat, w in ((gaas, 10), (algaas, 5), (gaas, 5), (algaas, 5), (gaas, 10))]\n",
    "dev = nemo.Heterostructure1D(layers, spacing=0.05, mass_average=\"mean\")\n",
    "x = dev.x\n",
    "tr = nemo.Transport(dev.hamiltonian)\n",
    "\n",
    "\n",
    "def linear_drop(v):                     # the bias drops across the 15 nm double barrier (Lecture 10.1)\n",
    "    return -v * np.clip((x - 10.0) / 15.0, 0.0, 1.0)\n",
    "\n",
    "\n",
    "def energy_grid(pot, lo, hi, n=4000):\n",
    "    res = nemo.resonances(dev, potential=pot)\n",
    "    parts = [np.linspace(lo, hi, n)]\n",
    "    parts += [e + w * np.linspace(-40, 40, 401) for e, w in zip(res[\"energy\"], res[\"width\"]) if lo < e < hi]\n",
    "    e = np.unique(np.concatenate(parts))\n",
    "    return e[(e >= lo) & (e <= hi)]\n",
    "\n",
    "\n",
    "prefactor = (Q / HBAR) * m_hbar2 * kt / (2 * np.pi**2) * 1e14  # A/cm^2 per eV of the integral\n",
    "print(f\"e m* kT / (2 pi^2 hbar^3) = {prefactor:.4e} A/cm^2 per eV at {T:.0f} K\")\n",
    "v = 0.1\n",
    "pot = linear_drop(v)\n",
    "ez = energy_grid(pot, -v + 1e-5, mu + 15 * kt)\n",
    "t = tr.transmission(ez, potential=pot)\n",
    "supply = log1p_exp((mu - ez) / kt) - log1p_exp((mu - v - ez) / kt)\n",
    "j_hand = prefactor * np.trapezoid(t * supply, ez)\n",
    "j_lib = dev.current_density(ez, t, mu, mu - v, T)\n",
    "print(f\"V = {v} V: hand-coded Tsu-Esaki {j_hand:.2f} A/cm^2, dev.current_density {j_lib:.2f} A/cm^2\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4969dd7f",
   "metadata": {},
   "source": [
    "The hand-coded formula and the library agree. To see what the formula saves, the next cell evaluates\n",
    "the triple integral directly on the same device: 64 Gauss–Legendre points in $k_r$, and at each one a\n",
    "full $T(E_z, k_\\perp)$ calculation on an energy grid refined around that $k$'s resonances, with the\n",
    "transverse energy passed to the 1-D problem as a potential. The time and the number of transmission\n",
    "evaluations are counted for both."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "394d7a24",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:48:21.178653Z",
     "iopub.status.busy": "2026-10-24T22:48:21.178566Z",
     "iopub.status.idle": "2026-10-24T22:48:22.383506Z",
     "shell.execute_reply": "2026-10-24T22:48:22.383079Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Tsu-Esaki:      J =  11573.05 A/cm^2,   4550 transmissions,     20 ms\n",
      "triple integral J =  11577.39 A/cm^2, 280816 transmissions,   1182 ms\n",
      "ratio 1.00037; cost ratio 62x in transmissions\n"
     ]
    }
   ],
   "source": [
    "import time\n",
    "\n",
    "clock = time.perf_counter()\n",
    "ez = energy_grid(pot, -v + 1e-5, mu + 15 * kt)\n",
    "j_te = dev.current_density(ez, tr.transmission(ez, potential=pot), mu, mu - v, T)\n",
    "t_te, n_te = time.perf_counter() - clock, ez.size\n",
    "\n",
    "clock = time.perf_counter()\n",
    "k_max = np.sqrt((mu + 15 * kt + v) * m / H2M0)\n",
    "xg, wg = np.polynomial.legendre.leggauss(64)\n",
    "kr, wk = 0.5 * k_max * (xg + 1), 0.5 * k_max * wg\n",
    "total, n_full = 0.0, 0\n",
    "for k, w in zip(kr, wk):\n",
    "    pk = pot + H2M0 * k**2 / dev.mass\n",
    "    e = energy_grid(pk, -v + 1e-5, mu + 15 * kt)\n",
    "    occ = fermi(e, mu, T) - fermi(e, mu - v, T)            # total energy E = E_z + E_perp\n",
    "    total += w * k / np.pi * np.trapezoid(tr.transmission(e, potential=pk) * occ, e)\n",
    "    n_full += e.size\n",
    "j_full = Q / H * total * 1e14\n",
    "t_full = time.perf_counter() - clock\n",
    "print(f\"Tsu-Esaki:      J = {j_te:9.2f} A/cm^2, {n_te:6d} transmissions, {t_te * 1e3:6.0f} ms\")\n",
    "print(f\"triple integral J = {j_full:9.2f} A/cm^2, {n_full:6d} transmissions, {t_full * 1e3:6.0f} ms\")\n",
    "print(f\"ratio {j_full / j_te:.5f}; cost ratio {n_full / n_te:.0f}x in transmissions\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8feadfff",
   "metadata": {},
   "source": [
    "For this equal-mass device the two agree to the accuracy of the quadratures (0.04%), and the triple\n",
    "integral costs 62 times as many transmissions (and about 60 times the time), one resonance search per\n",
    "$k$ included. On a laptop\n",
    "today that is a fraction of a second; in the 1990s, in Klimeck's words, \"it was incredibly intense to\n",
    "calculate such things\", and the single integral of Tsu and Esaki was what made RTD simulation routine.\n",
    "The price is the assumption $T(E_z, \\mathbf k_\\perp) = T(E_z)$: Lecture 10.7 showed that a heavier barrier mass\n",
    "alone changes the current of the same structure by up to 18%.\n",
    "\n",
    "![Slide 8: the Tsu–Esaki formula next to the k = 0 calculation it needs](attachment:slide_008_crop.png)\n",
    "\n",
    "*Slide 8: one transmission calculation at $k = 0$ (left) replaces the whole $(E, k)$ family (middle and\n",
    "right).*\n",
    "\n",
    "## 4. The supply function\n",
    "\n",
    "The logarithm in the Tsu–Esaki formula is the difference of two supply functions,\n",
    "$N_{L,R}(E_z) = k_BT\\ln(1 + e^{(\\mu_{L,R} - E_z)/k_BT})$, the occupied transverse states per $E_z$ in units of\n",
    "the 2-D density of states. The figure shows $N_L$ for $\\mu_L = 50$ meV at three temperatures, with its\n",
    "degenerate limit $(\\mu_L - E_z)\\,\\theta(\\mu_L - E_z)$, and $N_L - N_R$ at 0.1 V."
   ],
   "attachments": {
    "slide_008_crop.png": {
     "image/png": 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"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2f8fe26b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:48:22.384688Z",
     "iopub.status.busy": "2026-10-24T22:48:22.384614Z",
     "iopub.status.idle": "2026-10-24T22:48:22.518703Z",
     "shell.execute_reply": "2026-10-24T22:48:22.518288Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    4 K: N_L at E_z = 0 is  50.00 meV, at E_z = mu   0.24 meV, at mu + 50 meV 3.47e-64 meV\n",
      "   77 K: N_L at E_z = 0 is  50.00 meV, at E_z = mu   4.60 meV, at mu + 50 meV 3.54e-03 meV\n",
      "  300 K: N_L at E_z = 0 is  53.49 meV, at E_z = mu  17.92 meV, at mu + 50 meV 3.49e+00 meV\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1210x418 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "e = np.linspace(-0.12, 0.15, 1000)\n",
    "fig, (a1, a2) = plt.subplots(1, 2, figsize=(11, 3.8))\n",
    "for temp, c in zip((4.0, 77.0, 300.0), style.sweep(3)):\n",
    "    kti = KB * temp\n",
    "    a1.plot(e * 1e3, kti * log1p_exp((mu - e) / kti) * 1e3, color=c, label=f\"{temp:.0f} K\")\n",
    "    diff = log1p_exp((mu - e) / kti) - log1p_exp((mu - 0.1 - e) / kti)\n",
    "    a2.plot(e * 1e3, kti * diff * 1e3, color=c, label=f\"{temp:.0f} K\")\n",
    "a1.plot(e * 1e3, np.clip(mu - e, 0, None) * 1e3, \"k--\", lw=0.8, label=\"degenerate limit\")\n",
    "a1.set(xlabel=\"E_z (meV)\", ylabel=\"N_L(E_z) (meV)\", title=\"Supply function, μ_L = 50 meV\")\n",
    "a2.set(xlabel=\"E_z (meV)\", ylabel=\"N_L − N_R (meV)\", title=\"Supply difference at 0.1 V\")\n",
    "for ax in (a1, a2):\n",
    "    ax.axvline(mu * 1e3, color=style.CONTEXT, ls=\":\", lw=0.8)\n",
    "    ax.legend(frameon=False, fontsize=8)\n",
    "fig.tight_layout()\n",
    "for temp in (4.0, 77.0, 300.0):\n",
    "    kti = KB * temp\n",
    "    print(f\"{temp:5.0f} K: N_L at E_z = 0 is {kti * log1p_exp(mu / kti) * 1e3:6.2f} meV, \"\n",
    "          f\"at E_z = mu {kti * np.log(2) * 1e3:6.2f} meV, \"\n",
    "          f\"at mu + 50 meV {kti * log1p_exp(-0.05 / kti) * 1e3:.2e} meV\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f05a13a3",
   "metadata": {},
   "source": [
    "At 4 K the supply function is the degenerate triangle: 50 meV of supply at the band edge, falling\n",
    "linearly to zero at $\\mu_L$ (it is $k_BT\\ln 2 = 0.24$ meV there). At 77 K the triangle is rounded near\n",
    "$\\mu_L$ (4.6 meV at $E_z = \\mu_L$). At 300 K it is 53.5 meV at the band edge, 17.9 meV at $\\mu_L$ and still\n",
    "3.5 meV at 50 meV above $\\mu_L$, so a resonance above the Fermi level carries current. With\n",
    "bias, $N_L - N_R$ is flat at $eV$ wherever both contacts are degenerate (below $\\mu_R$, where left- and\n",
    "right-movers cancel except for that difference) and falls to zero above $\\mu_L$.\n",
    "\n",
    "## 5. The I–V at 4, 77 and 300 K\n",
    "\n",
    "With a single resonance of width $\\Gamma$ inside the window, at low temperature the integral picks up the\n",
    "supply at the resonance: $J \\approx \\frac{e m^*}{2\\pi^2\\hbar^3}\\,(\\mu_L - E_r)\\int T\\,dE_z$ while\n",
    "$E_r$ lies between the emitter band edge and $\\mu_L$ (and above $\\mu_R$). For a Breit–Wigner peak\n",
    "$\\int T\\,dE_z = (\\pi\\Gamma/2)\\,T_\\text{peak}$, with $T_\\text{peak} = 4\\Gamma_L\\Gamma_R/(\\Gamma_L + \\Gamma_R)^2$\n",
    "equal to 1 only for equally transparent barriers (Lecture 10.3). If $\\int T$ stayed constant, the current\n",
    "would grow linearly as the bias pulls $E_r$ down and drop to nearly zero once $E_r$ passes below the\n",
    "emitter band edge: the triangular I–V of an ideal RTD. The table below the figure compares the 4 K\n",
    "current with this estimate, using the numerical $\\int T\\,dE_z$ over $\\pm 40\\Gamma$ around the resonance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "30662028",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-24T22:48:22.519819Z",
     "iopub.status.busy": "2026-10-24T22:48:22.519726Z",
     "iopub.status.idle": "2026-10-24T22:48:25.970250Z",
     "shell.execute_reply": "2026-10-24T22:48:25.969903Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  V (V)   E_r (meV)  Gamma (meV)  T_peak  int T dE (meV)   4 K numeric   estimate (A/cm^2)\n",
      "  0.06      59.32     0.444    0.822     0.5705           10.5             0.0\n",
      "  0.08      49.16     0.466    0.705     0.5137          547.7           466.2\n",
      "  0.10      38.96     0.495    0.576     0.4458         5275.5          5336.6\n",
      "  0.12      28.71     0.530    0.445     0.3686         8428.0          8508.2\n",
      "  0.14      18.42     0.571    0.315     0.2816         9564.6          9645.4\n",
      "  0.16       8.08     0.616    0.183     0.1771         7978.4          8051.1\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "the resonance passes the emitter band edge between 0.175 and 0.180 V\n",
      "    4 K: peak   9564.6 A/cm^2 at 0.140 V, valley   102.9 A/cm^2\n",
      "   77 K: peak   9590.9 A/cm^2 at 0.140 V, valley   118.0 A/cm^2\n",
      "  300 K: peak  12601.4 A/cm^2 at 0.125 V, valley  1619.4 A/cm^2\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 682x429 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "biases = np.linspace(0.0, 0.3, 61)\n",
    "iv = {}\n",
    "for temp in (4.0, 77.0, 300.0):\n",
    "    kti = KB * temp\n",
    "    j = []\n",
    "    for vb in biases:\n",
    "        p = linear_drop(vb)\n",
    "        egrid = energy_grid(p, -vb + 1e-5, mu + 20 * kti)\n",
    "        j.append(dev.current_density(egrid, tr.transmission(egrid, potential=p), mu, mu - vb, temp))\n",
    "    iv[temp] = np.array(j)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(6.2, 3.9))\n",
    "for (temp, j), c in zip(iv.items(), style.sweep(3)):\n",
    "    ax.plot(biases, j / 1e3, \"o-\", ms=2.5, color=c, label=f\"{temp:.0f} K\")\n",
    "ax.set(xlabel=\"Bias (V)\", ylabel=\"Current density (kA/cm²)\", title=\"Tsu–Esaki I–V of the double barrier\")\n",
    "ax.legend(frameon=False, fontsize=8)\n",
    "\n",
    "pref0 = Q / HBAR * m_hbar2 / (2 * np.pi**2) * 1e14            # e m*/(2 pi^2 hbar^3), A/cm^2 per eV^2\n",
    "print(\"  V (V)   E_r (meV)  Gamma (meV)  T_peak  int T dE (meV)   4 K numeric   estimate (A/cm^2)\")\n",
    "for vb in (0.06, 0.08, 0.10, 0.12, 0.14, 0.16):\n",
    "    p = linear_drop(vb)\n",
    "    rr = nemo.resonances(dev, potential=p)\n",
    "    er, gv = rr[\"energy\"][0], rr[\"width\"][0]\n",
    "    eres = er + gv * np.linspace(-40, 40, 4001)\n",
    "    tres = tr.transmission(eres, potential=p)\n",
    "    area = np.trapezoid(tres, eres)\n",
    "    est = pref0 * max(mu - er, 0.0) * area\n",
    "    j4 = iv[4.0][np.argmin(abs(biases - vb))]\n",
    "    print(f\"  {vb:.2f}    {er * 1e3:7.2f}    {gv * 1e3:6.3f}    {tres.max():.3f}    {area * 1e3:7.4f}\"\n",
    "          f\"      {j4:9.1f}       {est:9.1f}\")\n",
    "cross = biases[np.argmax([nemo.resonances(dev, potential=linear_drop(vb))[\"energy\"][0] < 0 for vb in biases])]\n",
    "print(f\"the resonance passes the emitter band edge between {cross - 0.005:.3f} and {cross:.3f} V\")\n",
    "for temp, j in iv.items():\n",
    "    ip = int(np.argmax(j))\n",
    "    print(f\"{temp:5.0f} K: peak {j[ip]:8.1f} A/cm^2 at {biases[ip]:.3f} V, valley {j[ip:].min():7.1f} A/cm^2\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a4f72c26",
   "metadata": {},
   "source": [
    "At 4 K the estimate $(\\mu_L - E_r)\\,e m^*\\!\\int T\\,dE_z/(2\\pi^2\\hbar^3)$ reproduces the numerical current to\n",
    "within 1% from 0.10 to 0.16 V; at 0.08 V, where the resonance sits only 0.8 meV below $\\mu_L$, it is 15%\n",
    "low. The table also shows why the I–V is not the ideal triangle: the linear drop makes the two barriers\n",
    "unequally transparent, the peak transmission falls from 0.82 at 0.06 V to 0.18 at 0.16 V, and\n",
    "$\\int T\\,dE_z$ falls with it. The current therefore peaks at 0.14 V (9.56 kA/cm$^2$), before the resonance\n",
    "reaches the emitter band edge between 0.175 and 0.180 V, and then collapses to about 0.1 kA/cm$^2$. At\n",
    "77 K the I–V hardly changes (peak 9.59 kA/cm$^2$ at 0.14 V) apart from a softer onset. At 300 K the\n",
    "current starts at zero bias, because the Boltzmann tail of the supply reaches the resonance above\n",
    "$\\mu_L$; the peak rises to 12.6 kA/cm$^2$ at 0.125 V and the valley is 1.6 kA/cm$^2$, carried by the\n",
    "thermal tail at higher energies. Lecture 10.1 showed the same physics with a 1-D Landauer current,\n",
    "without the transverse supply.\n",
    "\n",
    "## Summary\n",
    "\n",
    "- The 3-D Landauer formula for a layered device is a triple integral over $E_z$ and $\\mathbf k_\\perp$; with\n",
    "  $T(E_z, \\mathbf k_\\perp) = T(E_z)$ and cylindrical symmetry the transverse integral is analytic.\n",
    "- The transverse kernel $B = (2\\pi m^*k_BT/\\hbar^2)\\ln(1 + e^{(\\mu - E_z)/k_BT})$ matches a brute-force\n",
    "  $(k_x, k_y)$ sum to six digits; the identity behind it holds to ten.\n",
    "- The hand-coded Tsu–Esaki formula agrees with `dev.current_density`; for an equal-mass device it agrees\n",
    "  with the full triple integral to 0.04% at 1/62 of the transmission evaluations.\n",
    "- The supply function $k_BT\\ln(1 + e^{(\\mu - E_z)/k_BT})$ is a triangle at low temperature and has a\n",
    "  Boltzmann tail at 300 K. At 4 K the current follows $(\\mu_L - E_r)\\,e m^*\\!\\int T\\,dE_z/(2\\pi^2\\hbar^3)$ to\n",
    "  1%, and the falling peak transmission under bias moves the peak (9.56 kA/cm$^2$ at 0.14 V) ahead of the\n",
    "  point where the resonance leaves the emitter band (0.175–0.180 V).\n",
    "\n",
    "## Exercises\n",
    "\n",
    "1. Derive the degenerate limit of the Tsu–Esaki formula at $T = 0$ and show that for $eV < \\mu_L$ it\n",
    "   gives $J = \\frac{e m^*}{2\\pi^2\\hbar^3}\\left[eV\\int_0^{\\mu_R}T\\,dE_z + \\int_{\\mu_R}^{\\mu_L}(\\mu_L - E_z)T\\,dE_z\\right]$.\n",
    "   Check it against the 4 K curve.\n",
    "2. Use a right contact with a different mass (an InGaAs collector, say $m^* = 0.041\\,m_0$) and compare\n",
    "   `current_density` (which uses the left contact's mass for both sides) with the triple integral of\n",
    "   Section 3. Which assumption of slide 4 is broken?\n",
    "3. Replace the Fermi–Dirac occupation by a Boltzmann factor in $B$. For which $E_z$ is the error larger\n",
    "   than 10% at 300 K with $\\mu_L = 50$ meV?\n",
    "\n",
    "## Further reading\n",
    "\n",
    "- [Lecture 10.7: transverse degrees of freedom](10_7_transverse_degrees_of_freedom.ipynb), where the\n",
    "  $k_\\perp$ sum is compared with Tsu–Esaki for a heavier barrier, and\n",
    "  [Lecture 10.1: scattering versus non-equilibrium transport](10_1_scattering_vs_nonequilibrium_transport.ipynb)\n",
    "  for the 1-D Landauer current.\n",
    "- [Lecture 10.6: where is the voltage drop?](10_6_where_is_the_voltage_drop.ipynb), where the formula\n",
    "  is used on self-consistent potentials.\n",
    "- R. Tsu and L. Esaki, \"Tunneling in a finite superlattice\", *Appl. Phys. Lett.* **22**, 562 (1973).\n",
    "- L. L. Chang, L. Esaki and R. Tsu, \"Resonant tunneling in semiconductor double barriers\",\n",
    "  *Appl. Phys. Lett.* **24**, 593 (1974).\n",
    "- J. H. Davies, *The Physics of Low-Dimensional Semiconductors* (Cambridge University Press, 1998),\n",
    "  chapter 5."
   ]
  }
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