Skip to main content
SpringerLink
Log in

Effects of Magnetic Field on Nonlinear Optical Absorption in Quantum Dots Under Parabolic-Inverse Squared Plus Modified Gaussian Potential

  • Condensed Matter
  • Published:
Brazilian Journal of Physics Aims and scope Submit manuscript

Abstract

The effects of some factors on linear and nonlinear optical absorption (OA) coefficients for GaAs/Ga\(_{1-x}\)Al\(_{x}\)As quantum dots (QDs) under parabolic-inverse squared (PIS) plus modified Gaussian (MG) potential in a vertical magnetic field are theoretically investigated, such as Al concentration, magnetic field, the depth of potential and so on. The analytical expressions of the linear and nonlinear OA coefficients are deduced by the compact density matrix formalism. The results show that these structural parameters and external factors, such as the depth of potential and magnetic field, have obvious effects on the dipole matrix elements, energy level interval and so on. Therefore, these factors will have a great impact on the change trend of OA coefficients. Furthermore, the incident optical intensity has an effect on the nonlinear OA coefficient.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

Data Availability

All data generated or analyzed during this study are included in this published article (and its supplementary information files).

References

  1. J.W. Wu, H.B. Bao, Nonlinear Dynamics in Semiconductor Quantum Dot Laser Subject to Double Delayed Feedback: Numerical Analysis, Braz. J. Phys. 50, 594–601 (2020)

    Google Scholar 

  2. I. Altuntas, Effects of applied external fields on the nonlinear optical rectification, second, and third harmonic generation in a quantum well with exponentially confinement potential. Eur. Phys. J. B, 94 (177) (2021)

  3. S. Saha, M. Ghosh, Polarizabilities of Impurity Doped Quantum Dots Under Pulsed Field: Role of Multiplicative White Noise, Braz. J. Phys. 46, 41–49 (2016)

    Google Scholar 

  4. C.H. Liu, B.R. Xu, Theoretical study of the optical absorption and refraction index change in a cylindrical quantum dot. Phys. Lett. A 372, 888–892 (2008)

    Article  ADS  Google Scholar 

  5. A. Guo, J. Du, Linear and nonlinear optical absorption coefficients and refractive index changes in asymmetrical Gaussian potential quantum wells with applied electric field. Superlattice. Microst. 64, 158–166 (2013)

    Article  ADS  Google Scholar 

  6. K. Sridharan, P. Shankar, R. Philip, Ultrashort and short pulse nonlinear optical investigations in thiolated nine-atom silver quantum clusters embedded in one-dimensional TiO_2 nanotube matrix. Opt. Mater. 94, 53–57 (2019)

    Article  ADS  Google Scholar 

  7. R. Safari, S. Shojaei, The control of the nonlinear optical response of semiconductor quantum dots. Optik 125, 6926–6929 (2014)

    Article  ADS  Google Scholar 

  8. F. Ungan, Effects of applied electric and magnetic fields on the nonlinear optical rectification and second-harmonic generation in a graded quantum well under intense laser field. Eur. Phys. J. B 90, 12 (2017)

    Article  ADS  Google Scholar 

  9. O. Ozturk, E. Ozturk, S. Elagoz, Linear and nonlinear optical absorption coefficient and electronic features of triple GaAlAs/GaAs and GaInAs/GaAs quantum wells depending on barrier widths. Optik 180, 394–405 (2019)

    Article  ADS  Google Scholar 

  10. B. Gerislioglu, A. Ahmadivand, N. Pala, Hybridized plasmons in graphene nanorings for extreme nonlinear optics. Opt. Mater. 73, 729–735 (2017)

    Article  ADS  Google Scholar 

  11. K.X. Guo, Z.M. Zhang, S. Mou, B. Xiao, Effect of hydrogenic impurity on linear and nonlinear optical absorption coefficients and refractive index changes in a quantum dot. J. Opt. 17(5), 055504 (2015)

  12. S. Sakiroglu, D.G. Kilic, U. Yesilgul, F. Ungan, E. Kasapoglu, H. Sari, I. Sokmen, Third-harmonic generation of a laser-driven quantum dot with impurity. Phys. B Condens. Matter 539, 101–105 (2018)

    Article  ADS  Google Scholar 

  13. G. Bilir1, M. Yüksek, A. Karatay, A. Elmalı, Nonlinear optical absorption properties of tellurium glasses containing different network modifiers. J. Opt. 22(7) 075501 (2020)

  14. C.P. Liu, K.Z. Hatsagortsyan, Coulomb focusing in above-threshold ionization in elliptically polarized midinfrared strong laser fields. Phys. Rev. A 85(2) (2012)

  15. C.J. Zhang, C.P. Liu, Enhancement of second-order vortex harmonics in polar molecular media. Laser Phys. Lett. 17 (8) (2020)

  16. Y.B. Yu, K.X. Guo, Exciton effects on nonlinear electro-optic effects in semi-parabolic quantum wires. Physica E: Low-dimensional Systems and Nanostructures 18, 492–497 (2003)

    Article  ADS  Google Scholar 

  17. W.F. Yang, R. Chen, B. Liu, L.M. Wong, S.J. Wang, H.D. Sun, Temperature dependence of weak localization effects of excitons in ZnCdO/ZnO single quantum well. J. Appl. Phys. 109 (11) (2011)

  18. L.V. Tung, P.T. Vinh, H.V. Phuc, Magneto-optical properties of semi-parabolic plus semi-inverse squared quantum wells. Phys. B Condens. Matter 539, 117–122 (2018)

    Article  ADS  Google Scholar 

  19. N. Yahyaoui, A. Jbeli, N. Zeiri, S. Abdi-Ben Nasrallah, M. Said, Effect of size and composition on the third order nonlinear optical susceptibility for GaN/In\(_{x}\)Ga\(_{1-x}\)N spherical core/shell quantum dot. Optik 245 (2021)

  20. Z.H. Zhang, K.X. Guo, B. Chen, R.Z. Wang, M.W. Kang, S. Shao, Theoretical studies on the optical absorption coefficients and refractive index changes in parabolic quantum dots in the presence of electric and magnetic fields. Superlattice. Microst. 47, 325–334 (2010)

    Article  ADS  Google Scholar 

  21. S. Shao, K.X. Guo, Z.H. Zhang, N. Li, C. Peng, Studies on the third-harmonic generations in cylindrical quantum dots with an applied electric field. Superlattice. Microst. 48, 541–549 (2010)

    Article  ADS  Google Scholar 

  22. W.F. Xie, The nonlinear optical rectification coefficient of quantum dots and rings with a repulsive scattering center. J. Lumin. 143, 27–30 (2013)

    Article  Google Scholar 

  23. D. Bejan, Donor impurity-related nonlinear optical rectification in a two-dimensional quantum ring under magnetic field. Phys. Lett. A 381, 3307–3313 (2017)

    Article  ADS  Google Scholar 

  24. H.M. Baghramyan, M.G. Barseghyan, A.A. Kirakosyan, R.L. Restrepo, C.A. Duque, 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 

  25. Z.P. Zeng, Christos S. Garoufalis, Sotirios Baskoutas, Linear and nonlinear optical susceptibilities in a laterally coupled quantum-dot–quantum-ring system. Phys. Lett. A 378, 2713-2718 (2014)

  26. S. Ghajarpour-Nobandegani, M.J. Karimi, Effects of hydrogenic impurity and external fields on the optical absorption in a ring-shaped elliptical quantum dot. Opt. Mater. 82, 75–80 (2018)

    Article  ADS  Google Scholar 

  27. M. Sabaeian, G. Baridi, Graphene plasmonic-assisted enhancement of linear and nonlinear optical properties of conic-shaped InAs/GaAs quantum dots with wetting layer. Superlattice. Microst. 144 (2020)

  28. E.B. Al, E. Kasapoglu, S. Sakiroglu, H. Sari, I. SÖkmen, C.A. Duque, Binding energies and optical absorption of donor impurities in spherical quantum dot under applied magnetic field. Physica E: Low-dimensional Systems and Nanostructures 119 (2020)

  29. 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. 567 (2021)

  30. J.S. Li, Z.H. Zhang, Y.W. Liu, J.H. Yuan, Simultaneous effects of hydrostatic pressure, temperature and aluminum concentration on nonlinear optical rectification, second- and third-harmonic generation in a GaAs/Ga\(_{1-x}\)Al\(_{x}\)As morse quantum well. Int. J. Mod. Phys. B 33 (04) (2019)

  31. N.D. Hien, C.A. Duque, E. Feddi, Magneto-optical effect in GaAs/GaAlAs semi-parabolic quantum well. Thin Solid Films 682, 10–17 (2019)

    Article  ADS  Google Scholar 

  32. H.R. Rastegar Sedehi a, R. Khordad. Magnetocaloric effect, magnetic susceptibility and specific heat of tuned quantum dot/ring systems. Physica E: Low-dimensional Systems and Nanostructures 134 (2021)

  33. X. Liu, L. Zou, C. Liu, Z.H. Zhang, J.H. Yuan, The nonlinear optical rectification and second harmonic generation in asymmetrical Gaussian potential quantum well: Effects of hydrostatic pressure, temperature and magnetic field. Opt. Mater. 53, 218–223 (2016)

    Article  ADS  Google Scholar 

  34. P.S. Shujala, V.R. Reddy, P. Sen, Size-dependent nonlinear optical absorption in SnO_2 quantum dots. J. Opt. Soc. Am. B 37, 2788–2795 (2020)

    Article  ADS  Google Scholar 

  35. X.C. Li, C.B. Ye, J. Gao, B. Wang, Optical absorption in asymmetrical Gaussian potential quantum dot under the application of an electric field. Chin. Phys. B 29(08) (2020)

  36. S.X. Mo, K.X. Guo, G.H Liu, J.M Lao, Nonlinear optical properties in a hybrid system composed of metal nanoparticles and Morse quantum wells. Phys. B Condens. Matter 624 (2022)

  37. L.V. Tung, V.T. Lam, L.T. Hoa, H.V. Phuc, Nonlinear magneto-optical absorption in a finite semi-parabolic quantum well. Opt. Quant. Electron. 53 (2021)

  38. R. Khordad, B. Mirhosseini, M.M. Mirhosseini, Thermodynamic properties of a GaAs quantum dot with an effective-parabolic potential: theory and simulation. J. Low Temp. Phys. 197, 95–110 (2019)

    Article  ADS  Google Scholar 

  39. K. Hasanirokh, A. Asgari, M. Mahdizadeh Rokhi, Theoretical study on nonlinear optical properties of CdS/ZnS spherical quantum dots. Optik 188, 99-103 (2019)

  40. R. Khordad, B. Vaseghi, Effects temperature, pressure and spin-orbit interaction simultaneously on third harmonic generation of wedge-shaped quantum dots. Chin. J. Phys. 59, 473–480 (2019)

    Article  MathSciNet  Google Scholar 

  41. D. Makhlouf, M. Choubani, F. Saidi, H. Maaref, Modeling of the second harmonic generation in a lens-shaped InAs/GaAs quantum core/shell dot under temperature, pressure and applied electric field effects. Results Phys. 16 (2020)

Download references

Acknowledgements

We would like to thank the National Natural Science Foundation of China (Grant Nos. 51702003, 61775087, 11674312, 52174161 and 12174161), the Provincial Foundation for Excellent Top Talents of Colleges and Universities of Anhui Province of China (Grant No. gxgwfx2019016), the Anhui Provincial Natural Science Foundation, China (Grant Nos. 1808085ME130 and 1508085QF140), University Outstanding Young Talents Support Program Fund (Grant No. gxyqZD2018039).

Author information

Authors and Affiliations

  1. School of Mechanics and Optoelectronics Physics, Anhui University of Science and Technology, Huainan, 232001, China

    Yiming Duan, Xuechao Li, Ceng Chang & Zhuang Zhao

Authors
  1. Yiming Duan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xuechao Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ceng Chang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Zhuang Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Xuechao Li.

Ethics declarations

Conflict of Interest

We declare that we have no financial and personal relationships with other people or organizations that can inappropriately influence our work, and there is no professional or other personal interest of any nature or kind in any product.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Duan, Y., Li, X., Chang, C. et al. Effects of Magnetic Field on Nonlinear Optical Absorption in Quantum Dots Under Parabolic-Inverse Squared Plus Modified Gaussian Potential. Braz J Phys 52, 123 (2022). https://doi.org/10.1007/s13538-022-01128-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s13538-022-01128-1

Keywords

Search

Navigation