Abstract
In this study, for the first time, the effect of externally applied static electric, magnetic, and non-resonant THz intense laser fields on nonlinear optical properties such as the total optical absorption coefficients (TOACs) and relative refractive index changes (RRICs) in a GaAs/AlGaAs Mathieu quantum well are theoretically investigated in detail. Moreover, the influence of the adjustable physical parameters, linked to the potential shape of the structure, on the nonlinear optical properties of the system is also investigated. For this, firstly, the electronic subband energy levels of the Mathieu quantum well, and their envelope wave functions, are calculated using the diagonalization method within the framework of the effective mass and parabolic single-band approximations. Then, the outcome of the iterative solution of compact-density-matrix formalism is used to obtain the nonlinear optical properties of the structure. The obtained numerical results show that the increase in both the structure parameters and the value of the electric and magnetic field shifted the positions of the TOACs and RRICs peaks towards higher energies (blue-shift). On the other hand, the increase in the value of the intense laser field shifted the peak positions to lower energy levels (red-shift). The determination of the functional range for the optical properties of the Mathieu quantum well, using both the structure parameters and the external fields, is an important gain in terms of providing the initial parameters for experimental studies.
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This manuscript has associated data in a data repository. [Authors’ comment: The authors confirm that the data supporting the findings of this study are available within the article].
References
M.K. Gurnick, T.A. De Temple, IEEE J. Quant. Electron. QE. 19, 791 (1983)
E.F. Schubert, J. Vac, Sci. Technol. A. 8, 2980 (1990)
K. Ploog, M. Hauser, A. Fischer, Appl. Phys. A 45, 233 (1988)
A.C. Maciel, M. Tatham, J.F. Ryan, J.M. Worlock, R.E. Nahory, J.P. Harbison, L.T. Forlez, Surf. Sci. 228, 251 (1990)
L. Ioriatti, Phys. Rev. B 41, 8340 (1990)
J.C. Egues, J.C. Barbosa, A.C. Notari, P. Basmaji, L. Ioriatti, E. Ranz, J. Portal, J. Appl. Phys. 70, 3678 (1991)
M.H. Degani, Phys. Rev. B 44, 5580 (1991)
M.H. Degani, J. Appl. Phys. 70, 4362 (1991)
M.L. Ke, J.S. Rimmer, B. Hamilton, J.H. Evans, M. Missous, K.E. Singer, P. Zalm, Phys. Rev. B 45, 14114 (1992)
M.L. Ke, J.S. Rimmer, B. Hamilton, M. Missous, B. Khamsehpour, J.H. Evans, K.E. Singer, P. Zalm, Surf. Sci. 267, 65 (1992)
F. Vigneau, R. Mizokuchi, D. Zanuz, X. Huang, S. Tan, R. Maurand, S. Frolov, A. Sammak, G. Scappucci, F. Leoch, S. De Franceschi, Nano Lett. 19, 1023 (2019)
C. Canedy, W. Bewley, C. Merritt, C. Kim, M. Kim, M. Warren, E. Jackson, J. Nolde, C. Aouda, E. Aifer, I. Vurgaftman, J. Meyer, Opt. Express. 27, 3771 (2019)
U. Muhammad, M. Urooj, Z. Dong-Guang, H. Dong-Pyo, R. Muhammad, M. Nazeer, Appl. Sci. 9, 1 (2019)
R.F. Kazarinov, R.A. Suris, Sov. Phys. Semicond. 5, 707 (1971)
D.A.B. Miller, Int. J. High Speed Electron. 1, 19 (1991)
S.Y. Yuen, Appl. Phys. Lett. 43, 813 (1983)
F. Ungan, S. Pal, M.K. Bahar, M.E. Mora-Ramos, Superlattices Microstruct. 130, 76 (2019)
I. Karabulut, H. Safak, M. Tomak, J. Appl. Phys. 103, 103116 (2008)
I. Karabulut, U. Atav, H. Safak, M. Tomak, Eur. Phys. J. B 55, 283 (2007)
I. Karabulut, H. Safak, Phys. B 368, 82 (2005)
W.F. Xie, Phys. Stat. Sol. B 246, 2257 (2009)
R.H. Wei, W.F. Xie, Curr. Appl. Phys. 10, 757 (2010)
S. Baskoutas, E. Paspalakis, A.F. Terzis, J. Phys. Condens. Matter 19, 395024 (2007)
S. Baskoutas, C. Garoufalis, A.F. Terzis, Eur. Phys. J. B 84, 241 (2011)
S. Baskoutas, A.F. Terzis, Eur. Phys. J. B 69, 237 (2009)
L. Lu, W. Xie, Z. Shu, Combined effects of hydrostatic pressure and temperature on nonlinear properties of an exciton in a spherical quantum dot under the applied electric field. Phys. B Condens. Matter 406, 3735–3740 (2011)
E. Ozturk, I. Sokmen, Nonlinear intersubband absorption and refractive index changes in square and graded quantum well modulated by temperature and Hydrostatic pressure. J. Lumin. 134, 42–48 (2013)
M. Kirak, Y. Altinok, S. Yilmaz, The effects of the hydrostatic pressure and temperature on binding energy and optical properties of a donor impurity in a spherical quantum dot under external electric field. J. Lumin. 136, 415–421 (2013)
I. Karabulut, M.E. Mora-Ramos, C.A. Duque, Nonlinear optical rectification and optical absorption in GaAs–Ga1–xAlxAs asymmetric double quantum wells: combined effects of applied electric and magnetic fields and hydrostatic pressure. J. Lumin. 131, 1502–1509 (2011)
J.C. Martínez-Orozco, M.E. Mora-Ramos, C.A. Duque, Nonlinear optical rectification and second and third harmonic generation in GaAs δ-FET systems under hydrostatic pressure. J. Lumin. 132, 449–456 (2012)
G. Rezaei, S. Shojaeian Kish, Linear and nonlinear optical properties of a hydrogenic impurity confined in a two-dimensional quantum dot: effects of hydrostatic pressure, external electric and magnetic fields. Superlattices Microstruct. 53, 99–112 (2013)
O. Aytekin, S. Turgut, M. Tomak, Nonlinear optical properties of a Pöschl-Teller quantum well under electric and magnetic fields. Phys. E 44, 1612–1616 (2012)
L. Zhang, H.-J. Xie, Electric field effect on the second-order nonlinear optical properties of parabolic and semiparabolic quantum wells. Phys. Rev. B 68, 235315 (2003)
A. Keshavarz, M.J. Karimi, Linear and nonlinear intersubband optical absorption in symmetric double semi-parabolic quantum wells. Phys. Lett. A 374, 2675–2680 (2010)
A. Salman Durmuslar, A. Turkoglu, M.E. Mora-Ramos, F. Ungan, The non-resonant intense laser field effects on the binding energies and the nonlinear optical properties of a donor impurity in Rosen–Morse quantum well, Indian J. Phys. (2022)
İ Karabulut, S. Baskoutas, Linear and nonlinear optical absorption coefficients and refractive index changes in spherical quantum dots: effects of impurities, electric field, size, and optical intensity. J. Appl. Phys. 103, 073512 (2008)
D. Altun, O. Ozturk, B.O. Alaydin, E. Ozturk, Linear and nonlinear optical properties of a superlattice with periodically increased well width under electric and magnetic fields. Micro Nanostruct. 207225 (2022)
H. Dakhlaoui, M. Nefzi, Superlattices Microstruct. 136, 106292 (2019)
U. Yesilgul, E.B. Al, J.C. Martínez-Orozco, R.L. Restrepo, M.E. Mora-Ramos, C.A. Duque, F. Ungan, E. Kasapoglu, Linear and nonlinear optical properties in an asymmetric double quantum well under intense laser field: effects of applied electric and magnetic fields. Opt. Mater. 58, 107–112 (2016)
F. Ungan, M.E. Mora-Ramos, E. Kasapogluc, H. Sari, I. Sökmen, Nonlinear optical properties of triple δ-doped quantum wells: the impact of the applied external fields. Optik 180, 387–393 (2019)
P. Başer, M.K. Bahar, Evaluation of the external electric- and magnetic field-driven Mathieu quantum dot’s optical observables. Phys. B 639, 413991 (2022)
J.-B. Xia, W.-J. Fan, Electronic structures of superlattices under in-plane magnetic field. Phys. Rev. B 40, 8508–8515 (1989)
E.B. Al, F. Ungan, U. Yesilgul, E. Kasapoglu, H. Sari, I. Sökmen, Infrared transitions between hydrogenic states in GaInNAs/GaAs quantum wells. Int. J. Mod. Phys. B 30, 1650139 (2016)
E.M. Goldys, J.J. Shi, Linear and nonlinear intersubband optical absorption in a strained double barrier quantum well. Phys. Status Solidi B 210, 237–248 (1998)
D. Ahn, S.L. Chuang, Calculation of linear and nonlinear intersubband optical absorptions in a quantum well model with an applied electric field. IEEE J Quantum Electron QE 23, 2196–2204 (1987)
S. Unlu, I. Karabulut, H. Safak, Linear and nonlinear intersubband optical absorption coefficients and refractive index changes in a quantum box with finite confining potential. Phys. E 33, 319–324 (2006)
H. Sari, E.B. Al, E. Kasapoglu, S. Sakiroglu, I. Sökmen, M. Toro-Escobar, C.A. Duque, Electronic and optical properties of a D2+ complex in two-dimensional quantum dots with Gaussian confinement potential. Eur. Phys. J. Plus 137, 464 (2022)
E.B. Al, E. Kasapoglu, H. Sari, I. Sökmen, Optical properties of spherical quantum dot in the presence of donor impurity under the magnetic field. Phys. B 613, 412874 (2021)
P. Hashemi, M. Servatkhah, R. Pourmand, The effect of Rashba spin-orbit interaction on optical far-infrared transition of tuned quantum dot/ring systems. Opt. Quant. Electron. 53, 567 (2021)
A.N. Aishah, H. Dakhlaoui, T. Ghrib, B.M. Wong, Phys. B 635, 413838 (2022)
M.K. Bahar, P. Başer, Micro Nanostruct. 170, 207371 (2022)
L. Máthé, C.P. Onyenegecha, A.A. Farcaş, L.M. Pioraş-Ţimbolmaş, M. Solaimani, H. Hassanabadi, Phys. Lett. A 397, 127262 (2021)
P. Başer, M.K. Bahar, Phys. B 639, 413991 (2022)
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Al, E.B., Peter, A.J., Mora-Ramos, M.E. et al. Theoretical investigation of nonlinear optical properties of Mathieu quantum well. Eur. Phys. J. Plus 138, 49 (2023). https://doi.org/10.1140/epjp/s13360-023-03678-y
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DOI: https://doi.org/10.1140/epjp/s13360-023-03678-y