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Nonlinear magneto-optical absorption in a finite semi-parabolic quantum well

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Abstract

The magneto-optical absorption properties, including magneto-optical absorption coefficient (MOAC) and its line-width, or the full-width at half-maximum (FWHM), of a GaAs/Ga\(_{1-s}\)Al\(_s\)As quantum well with a finite semi-parabolic potential are studied under the combined effects of the Al-doped concentration (s), the hydrostatic pressure (P), and the temperature (T). The MOAC is expressed as a function of photon energy for distinct values of s, P, T, and the well-width \((L_z)\) when the electron-phonon interaction is included. The energy separation as well as the intensity and position of absorption peaks depend on these parameters. The variation of the FWHM of absorption peaks is used to study absorption characteristics as a function of s, P, T, and \(L_z\). The temperature-dependent FWHM is found to qualitatively consistent with experimental observations.

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References

  • Adachi, S.: GaAs, AlAs, and Al\(_x\)Ga\(_{1-x}\)As: material parameters for use in research and device applications. J. Appl. Phys. 58, R1–R29 (1985)

    Article  ADS  Google Scholar 

  • Akbarnavaz Farkoush, B., Safarpour, G., Dialameh, M.: The effects of aluminum concentration and hydrogenic donor impurity on the linear and nonlinear optical properties of a GaAs spherical quantum dot confined at the center of a Ga\(_{1-x}\)Al\(_x\)As cylindrical nano-wire. Superlattices Microstruct. 63, 149–161 (2013)

    Article  ADS  Google Scholar 

  • Baghramyan, H.M., Barseghyan, M.G., Kirakosyan, A.A., Restrepo, R.L., Duque, C.A.: Linear and nonlinear optical absorption coefficients in GaAs/Ga\(_{1-x}\)Al\(_x\)As concentric double quantum rings: effects of hydrostatic pressure and aluminum concentration. J. Lumin. 134, 594–599 (2013)

    Article  Google Scholar 

  • Bhat, J.S., Kubakaddi, S.S., Mulimani, B.G.: Cyclotron-phonon resonance in quasi-two-dimensional semiconducting structures. J. Appl. Phys. 70, 2216–2219 (1991)

    Article  ADS  Google Scholar 

  • Bhat, J.S., Mulimani, B.G., Kubakaddi, S.S.: Localized phonon-assisted cyclotron resonance in GaAs/AlAs quantum wells. Phys. Rev. B 49, 16459–16466 (1994)

    Article  ADS  Google Scholar 

  • Bhat, J.S., Nesargi, R.A., Mulimani, B.G.: Confined-acoustic-phonon-assisted cyclotron resonance in free-standing semiconductor quantum well structures. Phys. Rev. B 73, 235351 (2006)

    Article  ADS  Google Scholar 

  • Bhatt, A.R., Kim, K.W., Stroscio, M.A.: Theoretical calculation of longitudinal-optical-phonon lifetime in GaAs. J. Appl. Phys. 76(6), 3905–3907 (1994)

    Article  ADS  Google Scholar 

  • Cao, Y.T., Cai, Y., Yao, C.B., Bao, S.B., Han, Y.: The photoluminescence, field emission and femtosecond nonlinear absorption properties of Al-doped zno nanowires, nanobelts, and nanoplane-cone morphologies. RSC Adv. 9, 34547–34558 (2019)

    Article  ADS  Google Scholar 

  • Chaubey, M.P., Van Vliet, C.M.: Transverse magnetoconductivity of quasi-two-dimensional semiconductor layers in the presence of phonon scattering. Phys. Rev. B 33, 5617–5622 (1986)

    Article  ADS  Google Scholar 

  • Chen, C., Dutta, M., Stroscio, M.A.: Surface-optical phonon assisted transitions in quantum dots. J. Appl. Phys. 96(4), 2049–2054 (2004)

    Article  ADS  Google Scholar 

  • Chuang, S.L.: Physics of Optoelectronic Devices. Wiley, New York (1995)

    Google Scholar 

  • Dakhlaoui, H.: Linear and nonlinear optical absorption coefficients and refractive index changes in GaN/Al\(_x\)Ga\(_{(1-x)}\)N double quantum wells operating at 1.55 \(\mu\)m. J. Appl. Phys. 117, 135705 (2015)

    Article  ADS  Google Scholar 

  • Dinh, L., Phuc, H.V.: Nonlinear phonon-assisted cyclotron resonance via two-photon process in asymmetrical gaussian potential quantum wells. Superlattices Microstruct. 86, 111–120 (2015)

    Article  ADS  Google Scholar 

  • Heitmann, D., Bollweg, K., Gudmundsson, V., Kurth, T., Riege, S.: Far-infrared spectroscopy of quantum wires and dots, breaking Kohn’s theorem. Physica E 1, 204–210 (1997)

    Article  ADS  Google Scholar 

  • Hien, N.D., Duque, C.A., Feddi, E., Hieu, N.V., Trien, H.D., Phuong, L.T.T., Hoi, B.D., Hoa, L.T., Nguyen, C.V., Hieu, N.N., Phuc, H.V.: Magneto-optical effect in GaAs/GaAlAs semi-parabolic quantum well. Thin Solid Films 682, 10–17 (2019a)

    Article  ADS  Google Scholar 

  • Hien, N.D., Thuan, D.V., Duque, C.A., Feddi, E., Dujardin, F., Phuong, L.T.T., Hoi, B.D., Nguyen, C.V., Tu, L.T.N., Phuc, H.V., Hieu, N.N.: One- and two-photon-induced magneto-optical properties of hyperbolic-type quantum wells. Optik 185, 1261–1269 (2019b)

    Article  ADS  Google Scholar 

  • Karimi, M., Rezaei, G., Nazari, M.: Linear and nonlinear optical properties of multilayered spherical quantum dots: effects of geometrical size, hydrogenic impurity, hydrostatic pressure and temperature. J. Lumin. 145, 55–60 (2014)

    Article  Google Scholar 

  • Kasapoglu, E., Ungan, F., Sari, H., Sökmen, I.: The hydrostatic pressure and temperature effects on donor impurities in cylindrical quantum wire under the magnetic field. Physica E 42, 1623–1626 (2010)

    Article  ADS  MATH  Google Scholar 

  • Li, E.: Material parameters of InGaAsP and InAlGaAs systems for use in quantum well structures at low and room temperatures. Physica E 5, 215–273 (2000)

    Article  ADS  Google Scholar 

  • Mitin, V., Kochelap, V., Stroscio, M.: Quantum Heterostructures: Microelectronics and Optoelectronics. Cambridge University Press, Cambridge (1999)

    Google Scholar 

  • Mityagin, Y.A., Telenkov, M.P., Amiri, S., Nagaraja, K.K.: Energy relaxation in landau levels in quantum well structures: different scenarios of inter-level kinetics. Physica E 122, 114104 (2020)

    Article  Google Scholar 

  • Nazari, M., Karimi, M., Keshavarz, A.: Linear and nonlinear optical absorption coefficients and refractive index changes in modulation-doped quantum wells: effects of the magnetic field and hydrostatic pressure. Physica B 428, 30–35 (2013)

    Article  ADS  Google Scholar 

  • Ozturk, E., Sökmen, I.: The effects of hydrostatic pressure on the nonlinear intersubband transitions and refractive index changes of different QW shapes. Opt. Commun. 285, 5223–5228 (2012)

    Article  ADS  Google Scholar 

  • Pham, K.D., Tung, L.V., Thuan, D.V., Nguyen, C.V., Hieu, N.N., Phuc, H.V.: Phonon-assisted cyclotron resonance in Pöschl–Teller quantum well. J. Appl. Phys. 126(12), 124301 (2019)

    Article  ADS  Google Scholar 

  • Phong, T.C., Phuc, H.V.: Nonlinear absorption line-widths in rectangular quantum wire. Mod. Phys. Lett. B 25, 1003–1011 (2011)

    Article  ADS  MATH  Google Scholar 

  • Phuc, H.V.: Nonlinear optical absorption via two-photon process in GaAs/Ga\(_{1-x}\)al\(_{x}\)as quantum well. J. Phys. Chem. Solids 82, 36–41 (2015)

    Article  ADS  Google Scholar 

  • Phuc, H.V., Hien, N.D., Dinh, L., Phong, T.C.: Confined optical-phonon-assisted cyclotron resonance in quantum wells via two-photon absorption process. Superlattices Microstruct. 94, 51–59 (2016)

    Article  ADS  Google Scholar 

  • Reyes-Gómez, E., Raigoza, N., Oliveira, L.E.: Effects of hydrostatic pressure and aluminum concentration on the conduction-electron \(g\) factor in GaAs-(Ga, Al)As quantum wells under in-plane magnetic fields. Phys. Rev. B 77, 115308 (2008)

    Article  ADS  Google Scholar 

  • Rodríguez-Magdaleno, K.A., Mora-Ramos, M.E., Pérez-Álvarez, R., Martínez-Orozco, J.C.: Effect of the hydrostatic pressure and shell’s al composition in the intraband absorption coefficient for core/shell spherical GaAs/Al\(_x\)Ga\(_{1-x}\)As quantum dots. Mater. Sci. Semicond. Process. 108, 104906 (2020)

    Article  Google Scholar 

  • Şahin, M.: Third-order nonlinear optical properties of a one- and two-electron spherical quantum dot with and without a hydrogenic impurity. J. Appl. Phys. 106, 063710 (2009)

    Article  ADS  Google Scholar 

  • Samara, G.A.: Temperature and pressure dependences of the dielectric constants of semiconductors. Phys. Rev. B 27, 3494–3505 (1983)

    Article  ADS  Google Scholar 

  • Sheikh, S.P., Reddy, V.R., Sen, P.: Size-dependent nonlinear optical absorption in SnO\(_2\) quantum dots. J. Opt. Soc. Am. B 37, 2788–2795 (2020)

    Article  ADS  Google Scholar 

  • Stroscio, M.A., Dutta, M.: Phonons in Nanostructures. Cambridge University Press, Cambridge (2001)

    Book  Google Scholar 

  • Ungan, F., Yesilgul, U., Kasapoglu, E., Sari, H., Sökmen, I.: The effects of hydrostatic pressure and intense laser field on the linear and nonlinear optical properties of a square quantum well. Opt. Commun. 285, 373–377 (2012)

    Article  ADS  MATH  Google Scholar 

  • Ungan, F., Yesilgul, U., Sakiroglu, S., Mora-Ramos, M.E., Duque, C.A., Kasapoglu, E., Sari, H., Sökmen, I.: Simultaneous effects of hydrostatic pressure and temperature on the nonlinear optical properties in a parabolic quantum well under the intense laser field. Opt. Commun. 309, 158–162 (2013)

    Article  ADS  Google Scholar 

  • Ungan, F., Mora-Ramos, M.E., Duque, C.A., Kasapoglu, E., Sari, H., Sökmen, I.: Linear and nonlinear optical properties in a double inverse parabolic quantum well under applied electric and magnetic fields. Superlattices Microstruct. 66, 129–135 (2014)

    Article  ADS  Google Scholar 

  • Ungan, F., Bahar, M.K., Rodríguez-Magdaleno, K.A., Mora-Ramos, M.E., Martínez-Orozco, J.C.: Influence of applied external fields on the nonlinear optical properties of a semi-infinite asymmetric Al\(_x\)Ga\(_{1-x}\)As/GaAs quantum well. Mater. Sci. Semicond. Process. 123, 105509 (2021)

    Article  Google Scholar 

  • Unuma, T., Takahashi, T., Noda, T., Yoshita, M., Sakaki, H., Baba, M., Akiyama, H.: Effects of interface roughness and phonon scattering on intersubband absorption linewidth in a GaAs quantum well. Appl. Phys. Lett. 78, 3448–3450 (2001)

    Article  ADS  Google Scholar 

  • Unuma, T., Yoshita, M., Noda, T., Sakaki, H., Akiyama, H.: Intersubband absorption linewidth in gaas quantum wells due to scattering by interface roughness, phonons, alloy disorder, and impurities. J. Appl. Phys. 93(3), 1586–1597 (2003)

    Article  ADS  Google Scholar 

  • Yesilgul, U.: Linear and nonlinear intersubband optical absorption coefficients and refractive index changes in symmetric double semi-V-shaped quantum wells. J. Lumin. 132, 765–773 (2012)

    Article  Google Scholar 

  • Yugova, I.A., Greilich, A., Yakovlev, D.R., Kiselev, A.A., Bayer, M., Petrov, V.V., Dolgikh, Y.K., Reuter, D., Wieck, A.D.: Universal behavior of the electron \(g\) factor in GaAs/Al\(_x\)Ga\(_{1-x}\)As quantum wells. Phys. Rev. B 75, 245302 (2007)

    Article  ADS  Google Scholar 

  • Zeng, Z., Garoufalis, C.S., Baskoutas, S.: Linear and nonlinear optical susceptibilities in a laterally coupled quantum-dot-quantum-ring system. Phys. Lett. A 378(36), 2713–2718 (2014)

    Article  ADS  MATH  Google Scholar 

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Acknowledgements

This work is funded by Sai Gon University under Grant number CS2019-01.

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Authors and Affiliations

  1. Faculty of Natural Sciences Pedagogy, Sai Gon University, 273 An Duong Vuong Street, District 5, Ho Chi Minh City, 700000, Viet Nam

    Luong V. Tung & Vo T. Lam

  2. Institute of Research and Development, Duy Tan University, Da Nang, 550000, Viet Nam

    Le T. Hoa

  3. Faculty of Natural Sciences, Duy Tan University, Da Nang, 550000, Viet Nam

    Le T. Hoa

  4. Division of Theoretical Physics, Dong Thap University, Cao Lãnh, Dong Thap, 870000, Viet Nam

    Huynh V. Phuc

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  1. Luong V. Tung
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Correspondence to Huynh V. Phuc.

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LVT: Numerical calculations, analytic the problem, and writing the manuscript; VTL: Investigation, Validation; LTH: Investigation, Writing - original draft; HVP: Proposed the problem, Numerical calculations, and writing the manuscript. All authors commented on the manuscript and approved the final manuscript.

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Tung, L.V., Lam, V.T., Hoa, L.T. et al. Nonlinear magneto-optical absorption in a finite semi-parabolic quantum well. Opt Quant Electron 53, 174 (2021). https://doi.org/10.1007/s11082-021-02817-y

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