{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Aestimo Tutorial #5" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this tutorial, we are going to model optical intersubband transitions between the conduction subbands of a quantum well. In the conduction band, intersubband transitions only couple to the electric field component across the structure (along the growth direction/perpendicular to the plane of the quantum well etc)[ref]. This means that the medium is anisotropic which leads to interesting properties like a shift in the absorption frequency due to a 'depolarisation shift'[ref] as well as standing wave effects[ref]. I could go on about this for a while [my ref] but instead, let's cut straight to the action.\n", "\n", "First we will model a 'normal' quantum well structure" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import aestimo.aestimo as solver\n", "import aestimo.config as ac\n", "ac.messagesoff = True # turn off logging in order to keep notebook from being flooded with messages.\n", "import aestimo.database as adatabase\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import copy\n", "from pprint import pprint\n", "%matplotlib inline" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "class Structure(object): pass\n", "s1 = Structure() # this will be our datastructure\n", "\n", "# TEMPERATURE\n", "s1.T = 15.0 #Kelvin\n", "\n", "# COMPUTATIONAL SCHEME\n", "# 0: Schrodinger\n", "# 1: Schrodinger + nonparabolicity\n", "# 2: Schrodinger-Poisson\n", "# 3: Schrodinger-Poisson with nonparabolicity\n", "# 4: Schrodinger-Exchange interaction\n", "# 5: Schrodinger-Poisson + Exchange interaction\n", "# 6: Schrodinger-Poisson + Exchange interaction with nonparabolicity\n", "s1.computation_scheme = 6\n", "\n", "# Non-parabolic effective mass function\n", "# 0: no energy dependence\n", "# 1: Nelson's effective 2-band model\n", "# 2: k.p model from Vurgaftman's 2001 paper\n", "s1.meff_method = 2\n", "\n", "# Non-parabolic Dispersion Calculations for Fermi-Dirac\n", "s1.fermi_np_scheme = True #needed only for aestimo_numpy2.py\n", "\n", "# QUANTUM\n", "# Total subband number to be calculated for electrons\n", "s1.subnumber_e = 3\n", "\n", "# APPLIED ELECTRIC FIELD\n", "s1.Fapplied = 0.00 # (V/m)\n", "\n", "# GRID\n", "# For 1D, z-axis is choosen\n", "s1.gridfactor = 0.1 #nm\n", "s1.maxgridpoints = 200000 #for controlling the size\n", "\n", "# REGIONS\n", "# Region input is a two-dimensional list input.\n", "# | Thickness (nm) | Material | Alloy fraction | Doping(cm^-3) | n or p type |\n", "s1.material =[\n", " [ 20.0, 'AlGaAs', 0.3, 0.0, 'n'],\n", " [ 11.0, 'GaAs', 0, 2e18, 'n'],\n", " [ 20.0, 'AlGaAs', 0.3, 0.0, 'n'],\n", " ]\n", "\n", "structure1 = s1" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "# Initialise structure class\n", "model1 = solver.StructureFrom(structure1,adatabase) # structure could also be a dictionary.\n", " \n", "#calculate QW states\n", "result1 = solver.Poisson_Schrodinger(model1)\n", "\n", "#solver.save_and_plot(result,model) # Write the simulation results in files\n", "solver.QWplot(result1,figno=None) # Plot QW diagram\n", "solver.logger.info(\"Simulation is finished.\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "Total layer number: 3\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "INFO:aestimo:Total layer number: 3\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "Total number of materials in database: 20\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "INFO:aestimo:Total number of materials in database: 20\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "The calculation of Vxc depends upon m*, however when non-parabolicity is also \n", " considered m* becomes energy dependent which would make Vxc energy dependent.\n", " Currently this effect is ignored and Vxc uses the effective masses from the \n", " bottom of the conduction bands even when non-parabolicity is considered \n", " elsewhere.\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "WARNING:aestimo:The calculation of Vxc depends upon m*, however when non-parabolicity is also \n", " considered m* becomes energy dependent which would make Vxc energy dependent.\n", " Currently this effect is ignored and Vxc uses the effective masses from the \n", " bottom of the conduction bands even when non-parabolicity is considered \n", " elsewhere.\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "calculation time 3.94071 s\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "INFO:aestimo:calculation time 3.94071 s\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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0rJ83v+edRWGukDhVkuYkPwpRLu+//z6OHj2K2bNnS/vMzEwxMnbePDGXnOpO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\nfn5+2LZtG/d1A7p58yZatmyJiooKBAYG4tNPP0VgYKDSYZm8v//978j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"text": [ "" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "Simulation is finished.\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "INFO:aestimo:Simulation is finished.\n" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we will calculate the intersubband transitions using the appropriately named 'intersubband_optical_transitions' module. The module contain several different models starting with semiclassical models and finishing with a perturbative quantum mechanical model that accounts for collective interactions between all of the transitions. The theory behind the intersubband transitions is a little more complicated than might be expected, see [?] for details." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import aestimo.intersubband_optical_transitions as isbt\n", "\n", "# set dielectric constants\n", "case = 2\n", "\n", "if case==1: #scalar dielectric constants\n", " eps_b = 12.90\n", " eps_z = 12.90\n", "\n", "elif case==2: #z-dependent dielectric constants\n", " eps_b = 10.364\n", " eps_gaas = 10.364 # @ 16um\n", " eps_algaas = 8.2067\n", " #eps_z = isbt.eps_background_GaAs(model,eps_gaas,eps_algaas)\n", " \n", " eps_z = np.zeros(model1.n_max)\n", " position = 0.0 # keeping in nanometres (to minimise errors)\n", " for layer in model1.material:\n", " startindex = solver.round2int(position*1e-9/model1.dx)\n", " position += layer[0] # update position to end of the layer\n", " finishindex = solver.round2int(position*1e-9/model1.dx)\n", " #\n", " matType = layer[1]\n", " if matType == 'GaAs':\n", " eps_z[startindex:finishindex] = eps_gaas\n", " elif matType == 'AlGaAs':\n", " eps_z[startindex:finishindex] = eps_algaas\n", " \n", "elif case==3: #w-dependent dielectric constants\n", " #because the zeroth axis is assumed to be the z-axis, our eps_z array must be 2d\n", " pass\n", " #currently the matrix model doesn't cope with frequency dependent dielectric constants\n", " #therefore the classical model would be the best approach (model2) although it seems\n", " #to over-estimate the coupling between the transitions.\n", " #Alternatively, we could resolve the matrix at each frequency (for each value of the\n", " #background dielectric constant which would be accurate but may be quite computationally\n", " #intensive.\n", "\n", "elif case==4: #z-dependent and w-dependent dielectric constants\n", " pass\n", " #currently the matrix model doesn't cope with frequency dependent dielectric constants\n", " #therefore the classical model is the best approach (model2) although it seems\n", " #to over-estimate the coupling between the transitions.\n", " #Alternatively, we could resolve the matrix at each frequency (for each value of the\n", " #background dielectric constant which would be accurate but may be quite computationally\n", " #intensive.\n", "\n", "#Set thickness of effective medium\n", "#Lperiod = sum([layer[0] for layer in model.material])*1e-9 #m\n", "Lperiod = model1.x_max #m\n", "\n", "# Define Linewidth function (or constant)\n", "def linewidth(freq): return 0.1*freq #define linewidth in THz\n", "\n", "# Optical Intersubband Transitions\n", "transitions_table,(hdr,units) = isbt.transitions(result1,Lperiod,eps_z,linewidth)\n", "\n", "isbt.print_levels(result1)\n", "isbt.print_transitions(transitions_table,hdr,units)\n", " " ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "the energy levels\\population are (meV)\t(m**-2):\n", "1019.92799875 \t2.16431263367e+16\n", "1092.73050484 \t3.56873663332e+14\n", "1197.45109478 \t2.29825405896e-21\n", "\n", "T = 15K\n", "\n", "the energy levels gaps are\n", "(meV)\t(THz)\t(um)\t(wavno)\n", "72.8\t17.6\t17\t587\n", "178\t42.9\t6.98\t1.43e+03\n", "105\t25.3\t11.8\t845\n", "Summary of Intersubband Transitions\n", " j 0 1 2\n", " ilevel 0 0 1\n", " flevel 1 2 2\n", " dE meV 72.8 178 105\n", " freq THz 17.6 42.9 25.3\n", " lambda um 17 6.98 11.8\n", " wavno cm-1 587 1.43e+03 845\n", " dN 1e11cm-2 @15K 21.3 21.6 0.357\n", " z_if nm -2.65 0.321 -3\n", " f 0.921 0.0328 1.69\n", " Leff nm 9.29 15.4 6.83\n", " S_if nm 0.821 0.203 0.776\n", " S_if_b nm 0.822 0.203 0.777\n", " wp THz 16.2 12.7 2.44\n", " R THz 2.06 0.393 0.362\n", " Lperiod nm 51 51 51\n", " y_if THz 1.76 4.29 2.53\n", " eps_w 10.3 10.3 10.3\n", "\n" ] } ], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "# Save default rcParams so we can reset them later\n", "# WARNING: Do not run this cell after changing rcParams, as it will overwrite the\n", "# defaults that we are trying to preserve.\n", "rcdef = plt.rcParams.copy()" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "code", "collapsed": false, "input": [ "newparams = {'savefig.dpi': 120, 'legend.fontsize': 'smaller'}\n", "#newparams = {'axes.labelsize': 14, 'axes.linewidth': 1, 'savefig.dpi': 150, \n", "# 'lines.linewidth': 1.5, #'figure.figsize': (8, 3),\n", "# 'figure.subplot.wspace': 0.4,\n", "# 'ytick.labelsize': 12, 'xtick.labelsize': 12,\n", "# 'ytick.major.pad': 5, 'xtick.major.pad': 5,\n", "# 'legend.fontsize': 12, 'legend.frameon': False, \n", "# 'legend.handlelength': 1.5}\n", "\n", "# Update the global rcParams dictionary with the new parameter choices\n", "# Before doing this, we reset rcParams to its default again, just in case\n", "plt.rcParams.update(rcdef)\n", "plt.rcParams.update(newparams)\n", "isbt.plotting_absorption(model1,result1,transitions_table,eps_b,eps_z,linewidth)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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rrbfw/fffY/78+ejRowd27dqFd955Bw8fPsSMGTOMeUQig5w7B+zaBTz3HNC5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\nXBXBXnstJ3JTuFBwgbjQOFu3ClAlZgIC1JTG+fMbf353v+509u7MxmM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L4OxZ1btkNNq6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SHG4nyMRXkYi/MxFFZuDUX56Avz0RfkoS8pQldUiK6oUAWjlz+Kiiq/zstTQ+VVn5s9u2lvplak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\nY1wMMsYYY4yZsf8HQnbtDkNOQusAAAAASUVORK5CYII=\n", "text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the plot above, the vertical blue lines mark the energy gaps between the quantum well's energy levels. We can also see that apart from the 'naive' model, the three different models are almost in agreement for this case. The result shows that the absorption strength of the lower transition has been shifted to a higher frequency which is an example of the 'depolarisation shift'. It also appears that the first and second transitions have almost merged, in fact we often find that when transitions are close, the higher energy transition will 'steal' the transition strength of the lower one due to the coulombic interactions between the different transitions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's model an even wider quantum well to show what happens when there are many transtions interacting. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "structure2 = copy.copy(structure1)\n", "\n", "# DOPING\n", "Nd = 1e18\n", "\n", "structure2.material =[\n", " [ 10.0, 'AlGaAs', 0.3, 0.0, 'n'],\n", " [ 30.0, 'GaAs', 0, Nd, 'n'],\n", " [ 10.0, 'AlGaAs', 0.3, 0.0, 'n']]\n", "\n", "structure2.subnumber_e = 7\n", " \n", "\n", "# Initialise structure class\n", "model2 = solver.StructureFrom(structure2,adatabase) # structure could also be a dictionary." ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "Total layer number: 3\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "INFO:aestimo:Total layer number: 3\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "Total number of materials in database: 20\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "INFO:aestimo:Total number of materials in database: 20\n" ] } ], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This example also allows me to show that sometimes the Poisson-Schrodinger algorithm needs to be optimised. Using the standard parameters, we get weird results. If we run aestimo on the command-line we can see how the energy-state solutions evolve as the algorithm iterates; if we looked at the output for this simulation, we would see that the solutions are drastically changing between each iteration, the algorithm has gone into oscillations rather than tending towards the correct solution. There will probably be a warning that aestimo has reached the maximum number of iterations." ] }, { "cell_type": "code", "collapsed": false, "input": [ "ac.damping = 0.5 # standard value of this parameter\n", "\n", "#calculate QW states\n", "result2 = solver.Poisson_Schrodinger(model2)\n", "\n", "#solver.save_and_plot(result,model) # Write the simulation results in files\n", "solver.QWplot(result2,figno=None) # Plot QW diagram\n", "solver.logger.info(\"Simulation is finished.\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "The calculation of Vxc depends upon m*, however when non-parabolicity is also \n", " considered m* becomes energy dependent which would make Vxc energy dependent.\n", " Currently this effect is ignored and Vxc uses the effective masses from the \n", " bottom of the conduction bands even when non-parabolicity is considered \n", " elsewhere.\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "WARNING:aestimo:The calculation of Vxc depends upon m*, however when non-parabolicity is also \n", " considered m* becomes energy dependent which would make Vxc energy dependent.\n", " Currently this effect is ignored and Vxc uses the effective masses from the \n", " bottom of the conduction bands even when non-parabolicity is considered \n", " elsewhere.\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "Have reached maximum number of iterations\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "WARNING:aestimo:Have reached maximum number of iterations\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "calculation time 28.4882 s\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "INFO:aestimo:calculation time 28.4882 s\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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j4+s9tn379qqsrPR/7Xa7lZiYWG8/37bAfQEAAABEJsIAIDRRPTOgpKREJSUl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\nkxISTKmqrMzcuWXfPpM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"text": [ "" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "Simulation is finished.\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "INFO:aestimo:Simulation is finished.\n" ] } ], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we change one of the parameters in the configuration module so that the algorithm is more 'damped'. This allows the algorithm to find the correct solution." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Optimise stability of Poisson-Schrodinger Algorithm\n", "ac.damping = 0.3\n", "\n", "#calculate QW states\n", "result2 = solver.Poisson_Schrodinger(model2)\n", "\n", "#solver.save_and_plot(result,model) # Write the simulation results in files\n", "solver.QWplot(result2,figno=None) # Plot QW diagram\n", "solver.logger.info(\"Simulation is finished.\")" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "The calculation of Vxc depends upon m*, however when non-parabolicity is also \n", " considered m* becomes energy dependent which would make Vxc energy dependent.\n", " Currently this effect is ignored and Vxc uses the effective masses from the \n", " bottom of the conduction bands even when non-parabolicity is considered \n", " elsewhere.\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "WARNING:aestimo:The calculation of Vxc depends upon m*, however when non-parabolicity is also \n", " considered m* becomes energy dependent which would make Vxc energy dependent.\n", " Currently this effect is ignored and Vxc uses the effective masses from the \n", " bottom of the conduction bands even when non-parabolicity is considered \n", " elsewhere.\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "calculation time 13.1024 s\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "INFO:aestimo:calculation time 13.1024 s\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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GyQAiIiIiIiIig2EygIiIiIiIiMhgmAwgIiIiIiIiMhgmA4iIiIiIiIgMhskAIiIiIiIi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gRg1g7lyge3cKA88/T28CEQYEQXBXJAJaEGxHxAA7kJqaqnUTBMGuXL/OZIBRUUDnzsDRo50A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\n2dkGRwK4zpkzZzRz5kwVFxfLw8PDofn4+Cg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"text": [ "" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "Simulation is finished.\n" ] }, { "output_type": "stream", "stream": "stderr", "text": [ "INFO:aestimo:Simulation is finished.\n" ] } ], "prompt_number": 9 }, { "cell_type": "code", "collapsed": false, "input": [ "# set dielectric constants\n", "case = 2\n", "\n", "if case==1: #scalar dielectric constants\n", " eps_b2 = 12.90\n", " eps_z2 = 12.90\n", "\n", "elif case==2: #z-dependent dielectric constants\n", " eps_b2 = 10.364\n", " eps_gaas = 10.364 # @ 16um\n", " eps_algaas = 8.2067\n", " eps_z2 = np.zeros(model2.n_max)\n", " \n", " position = 0.0 # keeping in nanometres (to minimise errors)\n", " for layer in model1.material:\n", " startindex = solver.round2int(position*1e-9/model2.dx)\n", " position += layer[0] # update position to end of the layer\n", " finishindex = solver.round2int(position*1e-9/model2.dx)\n", " #\n", " matType = layer[1]\n", " if matType == 'GaAs':\n", " eps_z2[startindex:finishindex] = eps_gaas\n", " elif matType == 'AlGaAs':\n", " eps_z2[startindex:finishindex] = eps_algaas\n", "\n", "#Set thickness of effective medium\n", "#Lperiod = sum([layer[0] for layer in model.material])*1e-9 #m\n", "Lperiod2 = model2.x_max #m\n", "\n", "# Optical Intersubband Transitions\n", "transitions_table2,(hdr,units) = isbt.transitions(result2,Lperiod2,eps_z2,linewidth)\n", " \n", "isbt.print_levels(result2)\n", "isbt.print_transitions(transitions_table2,hdr,units)\n", "\n", "#plot output\n", "isbt.plotting_absorption(model2,result2,transitions_table2,eps_b2,eps_z2,linewidth)\n", "\n", "plt.gca().set_xlim(xmax=30)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "the energy levels\\population are (meV)\t(m**-2):\n", "1002.6711201 \t1.46719235946e+16\n", "1015.35054274 \t1.10726949424e+16\n", "1038.98843046 \t4.25538108207e+15\n", "1071.45064758 \t380985223.243\n", "1111.09427639 \t1.88101113359e-05\n", "1156.27202141 \t1.2894960289e-20\n", "1205.02071946 \t3.01884620543e-37\n", "\n", "T = 15K\n", "\n", "the energy levels gaps are\n", "(meV)\t(THz)\t(um)\t(wavno)\n", "12.7\t3.07\t97.8\t102\n", "36.3\t8.78\t34.1\t293\n", "68.8\t16.6\t18\t555\n", "108\t26.2\t11.4\t874\n", "154\t37.1\t8.07\t1.24e+03\n", "202\t48.9\t6.13\t1.63e+03\n", "23.6\t5.72\t52.5\t191\n", "56.1\t13.6\t22.1\t452\n", "95.7\t23.2\t12.9\t772\n", "141\t34.1\t8.8\t1.14e+03\n", "190\t45.9\t6.54\t1.53e+03\n", "32.5\t7.85\t38.2\t262\n", "72.1\t17.4\t17.2\t582\n", "117\t28.4\t10.6\t946\n", "166\t40.1\t7.47\t1.34e+03\n", "39.6\t9.59\t31.3\t320\n", "84.8\t20.5\t14.6\t684\n", "134\t32.3\t9.28\t1.08e+03\n", "45.2\t10.9\t27.4\t364\n", "93.9\t22.7\t13.2\t758\n", "48.7\t11.8\t25.4\t393\n", "Summary of Intersubband Transitions\n", " j 0 1 2 3\n", " ilevel 0 0 0 0\n", " flevel 1 2 3 4\n", " dE meV 12.7 36.3 68.8 108\n", " freq THz 3.07 8.78 16.6 26.2\n", " lambda um 97.8 34.1 18 11.4\n", " wavno cm-1 102 293 555 874\n", " dN 1e11cm-2 @15K 3.6 10.4 14.7 14.7\n", " z_if nm -6.43 -0.00719 -0.627 0.0432\n", " f 0.927 3.32e-06 0.0478 0.000358\n", " Leff nm 21.6 27.2 30.6 33.5\n", " S_if nm 2.07 0.573 0.269 0.156\n", " S_if_b nm 2.07 0.574 0.269 0.156\n", " wp THz 4.64 7.03 7.87 7.52\n", " R THz 0.964 0.0031 0.442 0.0382\n", " Lperiod nm 50 50 50 50\n", " y_if THz 0.307 0.878 1.66 2.62\n", " eps_w 9.28 9.28 9.28 9.28\n", "\n", " j 4 5 6 7\n", " ilevel 0 0 1 1\n", " flevel 5 6 2 3\n", " dE meV 154 202 23.6 56.1\n", " freq THz 37.1 48.9 5.72 13.6\n", " lambda um 8.07 6.13 52.5 22.1\n", " wavno cm-1 1.24e+03 1.63e+03 191 452\n", " dN 1e11cm-2 @15K 14.7 14.7 6.82 11.1\n", " z_if nm -0.214 0.0812 -6.48 0.0331\n", " f 0.0124 0.00236 1.75 0.000109\n", " Leff nm 36.2 40.3 14 21.5\n", " S_if nm 0.102 0.0694 1.72 0.469\n", " S_if_b nm 0.102 0.0695 1.72 0.469\n", " wp THz 7.24 6.85 7.94 8.15\n", " R THz 0.225 0.0981 1.82 0.0183\n", " Lperiod nm 50 50 50 50\n", " y_if THz 3.71 4.89 0.572 1.36\n", " eps_w 9.28 9.28 9.28 9.28\n", "\n", " j 8 9 10 11\n", " ilevel 1 1 1 2\n", " flevel 4 5 6 3\n", " dE meV 95.7 141 190 32.5\n", " freq THz 23.2 34.1 45.9 7.85\n", " lambda um 12.9 8.8 6.54 38.2\n", " wavno cm-1 772 1.14e+03 1.53e+03 262\n", " dN 1e11cm-2 @15K 11.1 11.1 11.1 4.26\n", " z_if nm -0.747 0.112 -0.313 -6.57\n", " f 0.0943 0.0031 0.0328 2.48\n", " Leff nm 26.5 31.2 35.4 10.3\n", " S_if nm 0.223 0.129 0.0844 1.69\n", " S_if_b nm 0.223 0.129 0.0846 1.69\n", " wp THz 7.34 6.77 6.36 7.3\n", " R THz 0.539 0.0977 0.318 1.71\n", " Lperiod nm 50 50 50 50\n", " y_if THz 2.32 3.41 4.59 0.785\n", " eps_w 9.28 9.28 9.28 9.28\n", "\n", " j 12 13 14 15\n", " ilevel 2 2 2 3\n", " flevel 4 5 6 4\n", " dE meV 72.1 117 166 39.6\n", " freq THz 17.4 28.4 40.1 9.59\n", " lambda um 17.2 10.6 7.47 31.3\n", " wavno cm-1 582 946 1.34e+03 320\n", " dN 1e11cm-2 @15K 4.26 4.26 4.26 3.81e-07\n", " z_if nm 0.0962 -0.811 0.201 -6.7\n", " f 0.00118 0.136 0.0119 3.14\n", " Leff nm 17.8 23.2 29.7 8.38\n", " S_if nm 0.442 0.208 0.115 1.7\n", " S_if_b nm 0.442 0.208 0.115 1.7\n", " wp THz 5.56 4.87 4.3 0.00242\n", " R THz 0.0374 0.402 0.119 0.000577\n", " Lperiod nm 50 50 50 50\n", " y_if THz 1.74 2.84 4.01 0.959\n", " eps_w 9.28 9.28 9.28 9.28\n", "\n", " j 16 17 18 19\n", " ilevel 3 3 4 4\n", " flevel 5 6 5 6\n", " dE meV 84.8 134 45.2 93.9\n", " freq THz 20.5 32.3 10.9 22.7\n", " lambda um 14.6 9.28 27.4 13.2\n", " wavno cm-1 684 1.08e+03 364 758\n", " dN 1e11cm-2 @15K 3.81e-07 3.81e-07 1.88e-20 1.88e-20\n", " z_if nm 0.182 -0.891 -6.86 0.307\n", " f 0.00499 0.187 3.75 0.0157\n", " Leff nm 15.5 21.1 7.21 14.3\n", " S_if nm 0.431 0.201 1.74 0.422\n", " S_if_b nm 0.431 0.201 1.74 0.422\n", " wp THz 0.00178 0.00153 5.8e-10 4.12e-10\n", " R THz 2.3e-05 0.000141 1.4e-10 9.06e-12\n", " Lperiod nm 50 50 50 50\n", " y_if THz 2.05 3.23 1.09 2.27\n", " eps_w 9.28 9.28 9.28 9.28\n", "\n", " j 20\n", " ilevel 5\n", " flevel 6\n", " dE meV 48.7\n", " freq THz 11.8\n", " lambda um 25.4\n", " wavno cm-1 393\n", " dN 1e11cm-2 @15K 1.29e-35\n", " z_if nm -7.12\n", " f 4.36\n", " Leff nm 6.47\n", " S_if nm 1.8\n", " S_if_b nm 1.8\n", " wp THz 1.6e-17\n", " R THz 3.96e-18\n", " Lperiod nm 50\n", " y_if THz 1.18\n", " eps_w 9.28\n", "\n" ] }, { "metadata": {}, "output_type": "pyout", "prompt_number": 10, "text": [ "(0.0, 30)" ] }, { "metadata": {}, "output_type": "display_data", "png": 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J7e7u7rzyyiu89NJLrFu3jszMTL7//ntWrlxZYUFEdf785z+zZs0a4uLiOHv2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a1mcPb0bzx1/VOFDZptzltvwTvvSJb866/bZw8XwmQyMeumWSRnJ/NJwidM8J7Ae396T2dZ15CG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\n/BFhYWEoKioyHf/aa69h1apVG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"text": [ "" ] } ], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "So when there are multiple transitions, we can see that the matrix model gives a very different result compared to treating the transitions independently. In general, we find that the frequency of the absorption will be at a higher frequency than expected and most of the transition strength will be concentrated into a single transition." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "1. T. Ando, \"Intersubband optical absorption in space-charge layers on semiconductor surfaces\", Z. PHysik B, 26, 263-272 (1977)\n", "2. G. Pegolotti, A. Vasanelli, Y. Todorov and C. Sirtori, \"Quantum model of coupled intersubband plasmons Phys. Rev. B 90, 035305 (2014)" ] } ], "metadata": {} } ] }