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- | ====== Tutorial - THz GaAs/AlGaAs (Fathololoumi) ====== | ||
- | |||
- | ===== Summary ===== | ||
- | |||
- | This tutorial is based on the following publication. | ||
- | |||
- | ''[Fathololoumi2012]''\\ | ||
- | [[http://dx.doi.org/10.1364/OE.20.003866|Terahertz quantum cascade lasers operating up to ~200 K with optimized oscillator strength and improved injection tunneling]]\\ | ||
- | S. Fathololoumi, E. Dupont, C.W.I. Chan, Z.R. Wasilewski, S.R. Laframboise, D. Ban, A. Mátyás, C. Jirauschek, Q. Hu, H. C. Liu\\ | ||
- | Optics Express 20, 3866 (2012) | ||
- | |||
- | This article describes an AlGaAs/GaAs THz quantum cascade laser (QCL) operating at around 2.6 to 3.22 THz. | ||
- | The corresonding input file is called\\ | ||
- | ''THz_QCL_GaAs_AlGaAs_Fathololoumi_OptExpress2012_10K-MEDIUM.xml''. | ||
- | |||
- | Note that we also provide an input file called\\ | ||
- | ''THz_QCL_GaAs_AlGaAs_Fathololoumi_OptExpress2012_10K-FAST.xml'' | ||
- | which is faster but does not produce accurate result. | ||
- | This "**fast**" file is only intended to show the user how to run a "quick" simulation. | ||
- | The results shown here correspond to the "**medium**" file. | ||
- | |||
- | ===== Simulation details ===== | ||
- | |||
- | We simulate the structure at a temperature of 10 K. | ||
- | <code> | ||
- | <Temperature unit="K"> 10 </Temperature> | ||
- | </code> | ||
- | |||
- | |||
- | ==== Device definition ==== | ||
- | |||
- | First, the well and barrier materials have to be defined. | ||
- | |||
- | <code> | ||
- | <Material_Well> | ||
- | <name> GaAs </name> <!-- GaAs --> | ||
- | </Material_Well> | ||
- | |||
- | <Material_Barrier> | ||
- | <name> Al(x)Ga(1-x)As </name> <!-- Al(x)Ga(1-x)As --> | ||
- | <Alloy_Composition> 0.15 </Alloy_Composition> <!-- x, i.e. Al0.15Ga0.85As --> | ||
- | </Material_Barrier> | ||
- | </code> | ||
- | |||
- | Then, alternating layers consisting of barrier and well have to be specified. | ||
- | |||
- | <code> | ||
- | <Layer> <!-- #1 --> | ||
- | <Barrier_Thickness unit="nm"> 4.1 </Barrier_Thickness> | ||
- | < Well_Thickness unit="nm"> 16.0 </ Well_Thickness> | ||
- | </Layer> | ||
- | |||
- | <Layer> <!-- #2 --> | ||
- | <Barrier_Thickness unit="nm"> 4.3 </Barrier_Thickness> | ||
- | < Well_Thickness unit="nm"> 8.9 </ Well_Thickness> | ||
- | </Layer> | ||
- | |||
- | <Layer> <!-- #3 --> | ||
- | <Barrier_Thickness unit="nm"> 2.46 </Barrier_Thickness> | ||
- | < Well_Thickness unit="nm"> 8.15 </ Well_Thickness> | ||
- | </Layer> | ||
- | </code> | ||
- | |||
- | The resulting conduction band edge profile can be found in the file called ''Band-Edge_vs_position.dat''. | ||
- | This file includes the band bending due to the electrostatic potential. | ||
- | At a bias voltage of 54 mV per period, it looks as follows. | ||
- | |||
- | <figure> | ||
- | ;#; | ||
- | <dataplot xlabel="Position (nm)" ylabel="Energy (eV)" ylegends="E_c"> | ||
- | -1.9959090909E-001 7.4383341270E-002 | ||
- | 0.0000000000E+000 1.4844107543E-001 | ||
- | 1.9959090909E-001 1.4817933094E-001 | ||
- | 3.9918181818E-001 1.4791749851E-001 | ||
- | 5.9877272727E-001 1.4765559156E-001 | ||
- | 7.9836363636E-001 1.4739362121E-001 | ||
- | 9.9795454545E-001 1.4713159663E-001 | ||
- | 1.1975454545E+000 1.4686952528E-001 | ||
- | 1.3971363636E+000 1.4660741314E-001 | ||
- | 1.5967272727E+000 1.4634526486E-001 | ||
- | 1.7963181818E+000 1.4608308389E-001 | ||
- | 1.9959090909E+000 1.4582087255E-001 | ||
- | 2.1955000000E+000 1.4555863208E-001 | ||
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- | 1.1795822727E+002 -1.4465252492E-001 | ||
- | 1.1815781818E+002 -1.4489840928E-001 | ||
- | 1.1835740909E+002 -1.4514492493E-001 | ||
- | 1.1855700000E+002 -1.4539204392E-001 | ||
- | 1.1875659091E+002 -1.4563973606E-001 | ||
- | 1.1895618182E+002 -1.4588796919E-001 | ||
- | 1.1915577273E+002 -1.4613670951E-001 | ||
- | 1.1935536364E+002 -1.4638592185E-001 | ||
- | 1.1955495455E+002 -1.4663557008E-001 | ||
- | 1.1975454545E+002 -1.4688561744E-001 | ||
- | 1.1995413636E+002 -1.4713602690E-001 | ||
- | 1.2015372727E+002 -1.4738676155E-001 | ||
- | 1.2035331818E+002 -1.4763778497E-001 | ||
- | 1.2055290909E+002 -1.4788906163E-001 | ||
- | 1.2075250000E+002 -1.4814055723E-001 | ||
- | 1.2095209091E+002 -5.0478874391E-002 | ||
- | 1.2115168182E+002 -5.3262913837E-006 | ||
- | 1.2135127273E+002 -2.5729022593E-004 | ||
- | 1.2155086364E+002 -5.0935584603E-004 | ||
- | 1.2175045455E+002 -7.6150253689E-004 | ||
- | 1.2195004545E+002 -1.0137138608E-003 | ||
- | 1.2214963636E+002 -1.2659770251E-003 | ||
- | 1.2234922727E+002 -1.5182824709E-003 | ||
- | 1.2254881818E+002 -1.7706235696E-003 | ||
- | 1.2274840909E+002 -2.0229964159E-003 | ||
- | 1.2294800000E+002 -2.2753997111E-003 | ||
- | 1.2314759091E+002 -2.5278347333E-003 | ||
- | 1.2334718182E+002 -5.2354764370E-002 | ||
- | 1.2354677273E+002 -1.5167156815E-001 | ||
- | 1.2374636364E+002 -1.5192413141E-001 | ||
- | 1.2394595455E+002 -1.5217675478E-001 | ||
- | 1.2414554545E+002 -1.5242944905E-001 | ||
- | 1.2434513636E+002 -1.5268222623E-001 | ||
- | 1.2454472727E+002 -1.5293509944E-001 | ||
- | 1.2474431818E+002 -1.5318808277E-001 | ||
- | 1.2494390909E+002 -1.5344119112E-001 | ||
- | 1.2514350000E+002 -1.5369444002E-001 | ||
- | 1.2534309091E+002 -1.5394784552E-001 | ||
- | 1.2554268182E+002 -1.5420142393E-001 | ||
- | 1.2574227273E+002 -1.5445519168E-001 | ||
- | 1.2594186364E+002 -1.5470916510E-001 | ||
- | 1.2614145455E+002 -1.5496336026E-001 | ||
- | 1.2634104545E+002 -1.5521779273E-001 | ||
- | 1.2654063636E+002 -1.5547247745E-001 | ||
- | 1.2674022727E+002 -1.5572742847E-001 | ||
- | 1.2693981818E+002 -1.5598265884E-001 | ||
- | 1.2713940909E+002 -1.5623818038E-001 | ||
- | 1.2733900000E+002 -1.5649400357E-001 | ||
- | 1.2753859091E+002 -1.5675013738E-001 | ||
- | 1.2773818182E+002 -1.5700658915E-001 | ||
- | 1.2793777273E+002 -1.5726336449E-001 | ||
- | 1.2813736364E+002 -1.5752046718E-001 | ||
- | 1.2833695455E+002 -1.5777789910E-001 | ||
- | 1.2853654545E+002 -1.5803566019E-001 | ||
- | 1.2873613636E+002 -1.5829374843E-001 | ||
- | 1.2893572727E+002 -1.5855215986E-001 | ||
- | 1.2913531818E+002 -1.5881088857E-001 | ||
- | 1.2933490909E+002 -1.5906992678E-001 | ||
- | 1.2953450000E+002 -1.5932926495E-001 | ||
- | 1.2973409091E+002 -1.5958889182E-001 | ||
- | 1.2993368182E+002 -1.5984879458E-001 | ||
- | 1.3013327273E+002 -1.6010895902E-001 | ||
- | 1.3033286364E+002 -1.6036936968E-001 | ||
- | 1.3053245455E+002 -1.6063001005E-001 | ||
- | 1.3073204545E+002 -1.6089086280E-001 | ||
- | 1.3093163636E+002 -1.6115190995E-001 | ||
- | 1.3113122727E+002 -1.6141313315E-001 | ||
- | 1.3133081818E+002 -1.6167451389E-001 | ||
- | |||
- | </dataplot> | ||
- | |||
- | ;#; | ||
- | <caption>Conduction band edge at a bias of 54 mV/period which corresponds to an electric field of 12.3 kV/cm</caption> | ||
- | |||
- | </figure> | ||
- | |||
- | == Doping == | ||
- | //(Discuss the doping here.)// | ||
- | |||
- | == Electric field == | ||
- | //(Discuss the potential drop per period here.)// | ||
- | |||
- | == Material parameters == | ||
- | //(Discuss chosen masses and band offsets.)// | ||
- | |||
- | <code> | ||
- | <Material_Parameters> | ||
- | <Band_Offset unit="meV"> 120 </Band_Offset> | ||
- | <Effective_Mass_Well unit="m0" > 0 </Effective_Mass_Well> | ||
- | <Effective_Mass_Barrier unit="m0" > 0 </Effective_Mass_Barrier> | ||
- | </Material_Parameters> | ||
- | </code> | ||
- | |||
- | |||
- | == Gain == | ||
- | |||
- | //(Plot and discuss gain results.)// | ||