Abstract
ZnO based heterostructures have recently received increased research attention, related to the development of room temperature THz/MiR semiconductor devices. The potential for these applications stems from the combination of wide direct bandgap and high exciton binding energy. In this work, we focus on the intersubband transition between bound states in the conduction band, and apply self-consistent numerical modelling to a system of Schrödinger–Poisson equations to evaluate the electronics structure of coupled semiconductor quantum wells. We subsequently analyse the fractional optical absorption at room temperature, as it varies with layers’ thicknesses, doping density and external electric field magnitude.
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References
Ando, T., Taniyama, H., Ohtani, N., Nakayama, M., Hosoda, M.: Self-consistent calculation of subband occupation and electron–hole plasma effects: variational approach to quantum well states with Hartree and exchange-correlation interactions. J. Appl. Phys. 94, 4489–4501 (2003). https://doi.org/10.1063/1.1606512
Bellotti, E., Paiella, R.: Numerical simulation of ZnO-based terahertz quantum cascade lasers. J. Electron. Mater. 39, 1097–1103 (2010). https://doi.org/10.1007/s11664-010-1206-4
Cao, X., Wang, H., Hu, M., Jia, Z.: Exciton states in ZnO/MgZnO quantum wells under electric field and magnetic field. Phys. Solid State. 63, 1137–1144 (2021). https://doi.org/10.1134/S1063783421080059
Chen, S., Zhan, T., Pan, X., He, H., Huang, J., Lu, B., Ye, Z.: UV electroluminescence emissions from high-quality ZnO/ZnMgO multiple quantum well active layer light-emitting diodes. RSC Adv 11, 38949–38955 (2021). https://doi.org/10.1039/d1ra06685d
Chen, X., Parker, D., Singh, D.J.: Importance of non-parabolic band effects in the thermoelectric properties of semiconductors. Sci. Rep. 3, 3168 (2013). https://doi.org/10.1038/srep03168
Dakhlaoui, H., Nefzi, M.: Enhancement of the optical absorption in MgZnO/ZnO quantum well under external electric field. Optik (stuttg) 157, 1342–1349 (2018). https://doi.org/10.1016/j.ijleo.2017.12.107
Datta, S.: Quantum Transport: Atom to Transistor. Cambridge University Press, Cambridge (2005)
Dubajić, M., Daničić, A., Vuković, N., Milanović, V., Radovanović, J.: Optimization of cubic GaN/AlGaN quantum cascade structures for negative refraction in the THz spectral range. Opt. Quantum Electron. 50, 373 (2018). https://doi.org/10.1007/s11082-018-1639-1
Faist, J.: Quantum Cascade Lasers. OUP, Oxford (2013)
Fujita, M., Suzuki, R., Sasajima, M., Kosaka, T., Deesirapipat, Y., Horikoshi, Y.: Molecular beam epitaxial growth of ZnMgO∕ZnO∕ZnMgO single quantum well structure on Si(111) substrate. J. Vac. Sci. Technol. B Microelectron. Nanom. Struct. 24, 1668–1670 (2006). https://doi.org/10.1116/1.2200381
Gajić, A., Radovanović, J., Vuković, N., Milanović, V., Boiko, D.L.: Theoretical approach to quantum cascade micro-laser broadband multimode emission in strong magnetic fields. Phys. Lett. A 387, 127007 (2021). https://doi.org/10.1016/j.physleta.2020.127007
Gmachl, C., Ng, H.M., Cho, A.Y.: Intersubband absorption in GaN/AlGaN multiple quantum wells in the wavelength range of λ∼1.75–4.2 μm. Appl. Phys. Lett. 77, 334–336 (2000a). https://doi.org/10.1063/1.126968
Gmachl, C., Ng, H.M., George Chu, S.-N., Cho, A.Y.: Intersubband absorption at λ∼1.55 μm in well- and modulation-doped GaN/AlGaN multiple quantum wells with superlattice barriers. Appl. Phys. Lett. 77, 3722–3724 (2000b). https://doi.org/10.1063/1.1332108
Gös, W.: Hole trapping and the negative bias temperature instability. (2011) https://doi.org/10.34726/hss.2011.25057
Gruber, T., Kirchner, C., Kling, R., Reuss, F., Waag, A.: ZnMgO epilayers and ZnO-ZnMgO quantum wells for optoelectronic applications in the blue and UV spectral region. Appl. Phys. Lett. 84, 5359–5361 (2004). https://doi.org/10.1063/1.1767273
Harrison, P., Valavanis, A.: Quantum Wells. Wires and Dots. Wiley, Chichester (2016)
He, J., Wang, P., Chen, H., Guo, X., Guo, L., Yang, Y.: Study on temperature effect on properties of ZnO/MgZnO based quantum cascade detector in mid-infrared region. Appl. Phys. Express 10, 011101 (2017). https://doi.org/10.7567/APEX.10.011101
Higashiwaki, M., Kaplar, R., Pernot, J., Zhao, H.: Ultrawide bandgap semiconductors. Appl. Phys. Lett. 118, 200401 (2021). https://doi.org/10.1063/5.0055292
Isić, G., Radovanović, J., Milanović, V.: Anisotropic spin-dependent electron tunneling in a triple-barrier resonant tunneling diode. J. Appl. Phys. 102, 123704 (2007). https://doi.org/10.1063/1.2825401
Jirauschek, C., Kubis, T.: Modeling techniques for quantum cascade lasers. Appl. Phys. Rev. 1, 011307 (2014). https://doi.org/10.1063/1.4863665
Kaminska, A., Duzynska, A., Nowakowska, M., Suchocki, A., Wassner, T.A., Laumer, B., Eickhoff, M.: Luminescent properties of ZnO and ZnMgO epitaxial layers under high hydrostatic pressure. J. Alloys Compd. 672, 125–130 (2016). https://doi.org/10.1016/j.jallcom.2016.02.128
Köhler, R., Tredicucci, A., Beltram, F., Beere, H.E., Linfield, E.H., Davies, A.G., Ritchie, D.A., Iotti, R.C., Rossi, F.: Terahertz semiconductor-heterostructure laser. Nature 417, 156–159 (2002). https://doi.org/10.1038/417156a
Lee, M., Wanke, M.C.: Searching for a solid-state terahertz technology. Science 316, 64–65 (2007)
Li, S.M., Kwon, B.J., Kwack, H.S., Jin, L.H., Cho, Y.H., Park, Y.S., Han, M.S., Park, Y.S.: Optical transition dynamics in ZnO/ZnMgO multiple quantum well structures with different well widths grown on ZnO substrates. J. Appl. Phys. 107, 033513 (2010). https://doi.org/10.1063/1.3284959
Liu, D.: Intersubband optical absorption in ZnO/MgZnO triple quantum well structures. Appl. Phys. B 128, 74 (2022). https://doi.org/10.1007/s00340-022-07799-7
Liu, J., Zhou, Y., Zhai, S., Liu, F., Liu, S., Zhang, J., Zhuo, N., Wang, L., Wang, Z.: High-frequency very long wave infrared quantum cascade detectors. Semicond. Sci. Technol. 33, 125016 (2018). https://doi.org/10.1088/1361-6641/aaebd4
Mang, A., Reimann, K., Rübenacke, S.: Band gaps, crystal-field splitting, spin-orbit coupling, and exciton binding energies in ZnO under hydrostatic pressure. Solid State Commun. 94, 251–254 (1995). https://doi.org/10.1016/0038-1098(95)00054-2
Meng, B., Tamayo-Arriola, J., Le Biavan, N., Montes Bajo, M., Torres-Pardo, A., Hugues, M., Lefebvre, D., Hierro, A., Chauveau, J.M., Faist, J.: Observation of intersubband absorption in ZnO coupled quantum wells. Phys. Rev. Appl. 12, 054007 (2019). https://doi.org/10.1103/PhysRevApplied.12.054007
NEVOU, L.: Q_SchrodingerPoisson1D_CB. https://github.com/LaurentNevou/Q_SchrodingerPoisson1D_CB
Ohtani, K., Belmoubarik, M., Ohno, H.: Intersubband optical transitions in ZnO-based quantum wells grown by plasma-assisted molecular beam epitaxy. J. Cryst. Growth. 311, 2176–2178 (2009). https://doi.org/10.1016/j.jcrysgro.2008.09.134
Park, S.H., Ahn, D.: Spontaneous and piezoelectric polarization effects in wurtzite ZnO/MgZnO quantum well lasers. Appl. Phys. Lett. 87, 1–3 (2005). https://doi.org/10.1063/1.2149294
Radosavljević, A., Radovanović, J., Milanović, V.: Optimization of cubic GaN/AlGaN quantum well-based structures for intersubband absorption in the infrared spectral range. Solid State Commun. 182, 38–42 (2014). https://doi.org/10.1016/j.ssc.2013.12.006
Radosavljević, A., Radovanović, J., Milanović, V., Indjin, D.: Cubic GaN/AlGaN based quantum wells optimized for applications to tunable mid-infrared photodetectors. Opt. Quantum Electron. 47, 865–872 (2015). https://doi.org/10.1007/s11082-014-0016-y
Radovanović, J., Milanović, V., Ikonić, Z., Indjin, D.: Optimization of spin-filtering properties in diluted magnetic semiconductor heterostructures. J. Appl. Phys. 99, 073905 (2006). https://doi.org/10.1063/1.2188052
Radovanović, J., Milanović, V., Ikonić, Z., Indjin, D.: Application of the genetic algorithm to the optimized design of semimagnetic semiconductor-based spin-filters. J. Phys. D Appl. Phys. 40, 5066–5070 (2007). https://doi.org/10.1088/0022-3727/40/17/010
Radovanovic, J., Milanovic, V., Ikonic, Z., Indjin, D., Jovanovic, V., Harrison, P.: Optimal design of GaN-AlGaN Bragg-confined structures for intersubband absorption in the near-infrared spectral range. IEEE J. Quantum Electron. 39, 1297–1304 (2003). https://doi.org/10.1109/JQE.2003.817584
Radovanović, J., Vuković, N., Milanović, V.: Global Optimization methods for the design of MIR-THz QCLs applied to explosives detection. In: NATO Science for Peace and Security Series B: Physics and Biophysics. pp. 71–86 (2021)
Riane, H., Mokaddem, A., Temimi, L., Doumi, B., Bahlouli, S., Hamdache, F.: ZnO/ZnMgO: cubic quantum well laser in UV spectrum. Int. J. Adv. Manuf. Technol. 89, 629–633 (2017). https://doi.org/10.1007/s00170-016-9105-3
Shirazi-HD, M., Turkmeneli, K., Liu, S., Dai, S., Edmunds, C., Shao, J., Gardner, G., Zakharov, D.N., Manfra, M.J., Malis, O.: Dramatic enhancement of near-infrared intersubband absorption in c-plane AlInN/GaN superlattices. Appl. Phys. Lett. 108, 121108 (2016). https://doi.org/10.1063/1.4944847
Sirkeli, V.P., Hartnagel, H.L.: ZnO-based terahertz quantum cascade lasers. Opto-Electron. Rev. 27, 119–122 (2019). https://doi.org/10.1016/j.opelre.2019.04.002
Solovyev, V.V., Kukushkin, I.V.: Two-subband occupation by 2D electrons in MgZnO/ZnO heterostructures. Appl. Phys. Express. 12, 021001 (2019). https://doi.org/10.7567/1882-0786/aaf786
Solovyev, V.V., Van’kov, A.B., Kukushkin, I.V., Falson, J., Zhang, D., Maryenko, D., Kozuka, Y., Tsukazaki, A., Smet, J.H., Kawasaki, M.: Optical probing of MgZnO/ZnO heterointerface confinement potential energy levels. Appl. Phys. Lett. 106, 082102 (2015). https://doi.org/10.1063/1.4913313
Sun, J.W., Zhang, B.P.: Well-width dependence of exciton–longitudinal-optical-phonon coupling in MgZnO/ZnO single quantum wells. Nanotechnology 19, 485401 (2008). https://doi.org/10.1088/0957-4484/19/48/485401
Suzuki, N., Iizuka, N.: Feasibility study on ultrafast nonlinear optical properties of 1.55-µm intersubband transition in AlGaN/GaN quantum wells. Jpn. J. Appl. Phys. 36, 1006–1008 (1997). https://doi.org/10.1143/JJAP.36.L1006
Tkach, N.V., Seti, J.A., Grynyshyn, Y.B.: Electron-phonon interaction in three-barrier nanosystems as active elements of quantum cascade detectors. Semiconductors 49, 529–539 (2015). https://doi.org/10.1134/S1063782615040259
Vuković, N., Milanović, V., Radovanović, J.: Influence of nonparabolicity on electronic structure of quantum cascade laser. Phys. Lett. A 378, 2222–2225 (2014). https://doi.org/10.1016/j.physleta.2014.04.069
Vukovic, N., Radovanovic, J., Milanovic, V.: Enhanced modeling of band nonparabolicity with application to a mid-IR quantum cascade laser structure. Phys. Scr. T162, 014014 (2014). https://doi.org/10.1088/0031-8949/2014/T162/014014
Vuković, N., Radovanović, J., Milanović, V.: Refined modelling of anisotropy influence on the optical gain in Mid-IR quantum cascade lasers. Opt. Quantum Electron. 54, 380 (2022). https://doi.org/10.1007/s11082-022-03742-4
Vukovic, N., Radovanovic, J., Milanovic, V., Boiko, D.L.: Analytical expression for Risken–Nummedal–Graham–Haken instability threshold in quantum cascade lasers. Opt. Express 24, 26911 (2016a). https://doi.org/10.1364/OE.24.026911
Vukovic, N., Radovanovic, J., Milanovic, V., Boiko, D.L.: Multimode RNGH instabilities of Fabry–Pérot cavity QCLs: impact of diffusion. Opt. Quantum Electron. 48, 254 (2016b). https://doi.org/10.1007/s11082-016-0515-0
Vukovic, N., Radovanovic, J., Milanovic, V., Boiko, D.L.: Numerical study of Risken–Nummedal–Graham–Haken instability in mid-infrared Fabry-Pérot quantum cascade lasers. Opt. Quantum Electron. 52, 91 (2020). https://doi.org/10.1007/s11082-020-2210-4
Vukovic, N.N., Radovanovic, J., Milanovic, V., Boiko, D.L.: Low-threshold RNGH instabilities in quantum cascade lasers. IEEE J. Sel. Top. Quantum Electron. 23, 1–16 (2017). https://doi.org/10.1109/JSTQE.2017.2699139
Zhang, B.P., Liu, B.L., Yu, J.Z., Wang, Q.M., Liu, C.Y., Liu, Y.C., Segawa, Y.: Photoluminescence and built-in electric field in ZnO/Mg0.1Zn0.9O quantum wells. Appl. Phys. Lett. 90, 132113 (2007). https://doi.org/10.1063/1.2716367
Zhao, K., Chen, G., Li, B.-S., Shen, A.: Mid-infrared intersubband absorptions in ZnO/ZnMgO multiple quantum wells. Appl. Phys. Lett. 104, 212104 (2014). https://doi.org/10.1063/1.4880816
Zhu, J., Ban, S.L., Ha, S.H.: A simulation of intersubband absorption in ZnO/MgxZn1−xO quantum wells with an external electric field. Superlattices Microstruct. 56, 92–98 (2013). https://doi.org/10.1016/j.spmi.2012.11.011
Zhu, J., Kuznetsov, A.Y., Han, M.S., Park, Y.S., Ahn, H.K., Ju, J.W., Lee, I.H.: Structural and optical properties of ZnOMg0.1Zn0.9O multiple quantum wells grown on ZnO substrates. Appl. Phys. Lett. 90, 211909 (2007). https://doi.org/10.1063/1.2742574
Funding
This work was supported by Ministry of Education, Science and Technological Development (Republic of Serbia): Grant Number 450-03-68/2022-14/200017; "Multi-Scale Modelling of Terahertz Quantum Cascade Laser Active Regions", Multilateral scientific and technological cooperation in the Danube region 2020–2021 (Grant Number 337–00–00322/2019–09/221); and "DEMETRA: Development of high-performance mid-IR/THz quantum cascade lasers for advanced applications", Science Fund of the Republic of Serbia, Serbian Science and Diaspora Collaboration Programme: Knowledge Exchange Vouchers (Grant Number 6436915).
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All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by all authors. The first draft of the manuscript was written by Aleksandar Atić and all the authors contributed in finalizing the previous versions of the manuscript. All authors have read and approved the submitted version of the manuscript.
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Atić, A., Vuković, N. & Radovanović, J. Calculation of intersubband absorption in ZnO/ZnMgO asymmetric double quantum wells. Opt Quant Electron 54, 810 (2022). https://doi.org/10.1007/s11082-022-04170-0
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DOI: https://doi.org/10.1007/s11082-022-04170-0