D. V. Ushakov, A. A. Afonenko, A. A. Dubinov, V. I. Gavrilenko, O. Yu. Volkov, N. V. Shchavruk, D. S. Ponomarev, R. A. Khabibullin, “Balance-equation method for simulating terahertz quantum-cascade lasers using a wave-function basis with reduced dipole moments of tunnel-coupled states”, Kvantovaya Elektronika, 49:10 (2019), 913–918 [Quantum Electron., 49:10 (2019), 913

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Kvantovaya Elektronika, 2019, Volume 49, Number 10, Pages 913–918 (Mi qe17133)

This article is cited in 18 scientific papers (total in 18 papers)

Lasers

Balance-equation method for simulating terahertz quantum-cascade lasers using a wave-function basis with reduced dipole moments of tunnel-coupled states

D. V. Ushakov^a, A. A. Afonenko^a, A. A. Dubinov^b, V. I. Gavrilenko^b, O. Yu. Volkov^c, N. V. Shchavruk^d, D. S. Ponomarev^d, R. A. Khabibullin^d

^a Belarusian State University, Minsk
^b Institute for Physics of Microstructures, Russian Academy of Sciences, Nizhnii Novgorod
^c Kotel'nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow
^d V. G. Mokerov Institute of Ultra High Frequency Semiconductor Electronics of RAS, Moscow

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Abstract: A model based on a system of balance equations for localised and continuum states is developed to calculate the current – voltage (I – V) and power characteristics of quantum-cascade lasers (QCLs) operating in the terahertz (THz) range. A method for modifying the eigenbasis of the Schrödinger equation by reducing the dipole moments of tunnel-coupled states is proposed to take into account the effect of dephasing on the carrier transport. The calculated and experimental data on the current – voltage characteristics and the dependence of the integrated radiation intensity on current for the THz QCLs lasing at 2.3 THz are compared. The calculated and measured values of the threshold current, lasing current range, and maximum operating temperature T_max are found to be in good agreement. It is shown that T_max can be increased by 25% by reducing the thickness of the top contact layer n⁺-GaAs of the laser structure under study from 800 to 100 nm.

Keywords: quantum-cascade lasers, terahertz range, distributed model, balance equations, dephasing of states, dipole moment, gain spectra, current – voltage characteristics, threshold current, maximum operating temperature.

Funding agency	Grant number
Belarusian Republican Foundation for Fundamental Research	Ф18Р-107
Russian Foundation for Basic Research	18-52-00011_Бел
Russian Science Foundation	18-19-00493

Received: 27.05.2019

English version:
Quantum Electronics, 2019, Volume 49, Issue 10, Pages 913–918
DOI: https://doi.org/10.1070/QEL17068

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: D. V. Ushakov, A. A. Afonenko, A. A. Dubinov, V. I. Gavrilenko, O. Yu. Volkov, N. V. Shchavruk, D. S. Ponomarev, R. A. Khabibullin, “Balance-equation method for simulating terahertz quantum-cascade lasers using a wave-function basis with reduced dipole moments of tunnel-coupled states”, Kvantovaya Elektronika, 49:10 (2019), 913–918 [Quantum Electron., 49:10 (2019), 913–918]

Linking options:

https://www.mathnet.ru/eng/qe17133

https://www.mathnet.ru/eng/qe/v49/i10/p913

This publication is cited in the following 18 articles:

Dmitrii V. Ushakov, Alexander A. Afonenko, Rustam A. Khabibullin, Mikhail A. Fadeev, Alexander A. Dubinov, Physica Rapid Research Ltrs, 2024
D. V. Ushakov, A. A. Afonenko, An. A. Afonenko, R. A. Khabibullin, M. A. Fadeev, V. I. Gavrilenko, A. A. Dubinov, Journal of Applied Physics, 135:13 (2024)
R. A. Khabibullin, D. V. Ushakov, A. A. Afonenko, A. Yu. Pavlov, R. R. Galiev, D. S. Ponomarev, A. P. Vasilyev, A. G. Kuzmenkov, N. A. Maleev, F. I. Zubov, M. V. Maksimov, D. A. Belov, A. V. Ikonnikov, D. I. Kuritsyn, R. Kh. Zhukavin, K. A. Kovalevsky, V. A. Anfertev, V. L. Vaks, A. V. Antonov, A. A. Dubinov, S. V. Morozov, V. I. Gavrilenko, Journal of Applied Physics, 136:19 (2024)
Alexander A. Afonenko, Dmitrii V. Ushakov, Mikhail A. Fadeev, Sergey V. Morozov, Alexander A. Dubinov, Physica Status Solidi (a), 220:17 (2023)
Weinbub J., Kosik R., J. Phys.-Condes. Matter, 34:16 (2022), 163001
D. V. Ushakov, A. A. Afonenko, I. A. Glinskiy, R. A. Khabibullin, Rossijskij tehnologičeskij žurnal, 10:3 (2022), 45
R.A. Khabibullin, S.S. Pushkarev, R.R. Galiev, D.S. Ponomarev, I.S. Vasil'evskii, A.N. Vinichenko, A.N. Klochkov, T.A. Bagaev, M.A. Ladugin, A.A. Marmalyuk, K.V. Maremyanin, V.I. Gavrilenko, D.V. Ushakov, A.A. Afonenko, 2022 International Conference Laser Optics (ICLO), 2022, 1
D. V. Ushakov, A. A. Afonenko, R. A. Khabibullin, V. K. Kononenko, I. S. Manak, Vescì Akademìì navuk Belarusì. Seryâ fizika-matematyčnyh navuk, 58:2 (2022), 237
D. V. Ushakov, A. A. Afonenko, D. S. Ponomarev, S. S. Pushkarev, V. I. Gavrilenko, R. A. Khabibullin, Radiophys Quantum El, 65:5-6 (2022), 461
Quantum Electron., 51:2 (2021), 164–168
A.A. Dubinov, V.Ya. Aleshkin, Semiconductors, 55:11 (2021), 828–830
R. A. Khabibullin, K. V. Marem'yanin, D. S. Ponomarev, R. R. Galiev, A. A. Zaitsev, A. I. Danilov, I. S. Vasil'evskii, A. N. Vinichenko, A. N. Klochkov, A. A. Afonenko, D. V. Ushakov, S. V. Morozov, V. I. Gavrilenko, Semiconductors, 56 (2022), –
R A Khabibullin, D S Ponomarev, D V Ushakov, A A Afonenko, J. Phys.: Conf. Ser., 2086:1 (2021), 012086
D. Ushakov, A. Afonenko, R. Khabibullin, D. Ponomarev, V. Aleshkin, S. Morozov, A. Dubinov, Opt. Express, 28:17 (2020), 25371–25382
A. A. Afonenko, A. A. Afonenko, D. V. Ushakov, A. A. Dubinov, Semiconductors, 54:8 (2020), 936–940
Khabibullin R.A., Shchavruk N.V., Ponomarev D.S., Ushakov D.V., Afonenko A.A., Volkov O.Yu., Pavlovskiy V.V., Maremyanin K.V., Dubinov A.A., International Conference Laser Optics 2020 (Iclo 2020), IEEE, 2020
R. A. Khabibullin, N. V. Shchavruk, D. S. Ponomarev, D. V. Ushakov, A. A. Afonenko, O. Yu. Volkov, V. V. Pavlovskiy, K. V. Maremyanin, A. A. Dubinov, 2020 International Conference Laser Optics (ICLO), 2020, 1
R. A. Khabibullin, N. V. Shchavruk, D. S. Ponomarev, D. V. Ushakov, A. A. Afonenko, K. V. Maremyanin, O. Yu. Volkov, V. V. Pavlovskiy, A. A. Dubinov, Opto-Electron. Rev., 27:4 (2019), 329–333

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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