Skip to main content
SpringerLink
Log in

Effect of magnetic field on energy states and optical properties of quantum dots and quantum antidots

  • Published:
Optical and Quantum Electronics Aims and scope Submit manuscript

Abstract

In this study, the effect of magnetic field on electronic spectra and optical properties of spherical quantum dot (QD) and quantum anti-dot (QAD) are investigated. The energies and corresponding wave functions are calculated by using the finite difference method and oscillator strengths are obtained based on the dipole approximation approach. Based on perturbation theory, our theoretical results are presented and it will be shown clearly how the magnetic field affects energy levels and intersubband transitions. In the following, our numerical results based on a comparative perspective for both QD and QAD models are given. Our results indicate that in the presence of magnetic field, changes on energy levels and optical properties of QD and QAD are considerably different. In addition, we study the effect of change in core and shell dimensions in the presence of magnetic field on the energy states and oscillator strengths of both nanostructures.

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
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  • Abramowitz, A., Stegun, I.: Handbook of Mathematical Function with Formulas, pp. 505–509. US GPO, Washington, DC, Graphs and Mathematical Tables (1994)

  • Al, E.B., Kasapoglu, E., Sari, H., Sömen, I.: Philosophical Magazine, Zeeman splitting, Zeeman transitions and optical absorption of an electron confined in spherical quantum dots under the magnetic field. https://doi.org/10.1080/14786435.2020.1821112.

  • Al, E.B., Kasapoglu, E., Sakiroglu, S., Sari, H., Sömen, I., Duque, C.A.: Binding energies and optical absorption of donor impurities in spherical quantum dot under applied magnetic field. Physica E 119, 114011 (2020)

    Article  Google Scholar 

  • Baser, P., Elagoz, S., Kartal, D.: The effects of pressure and barrier height on donor binding energy in \(GaAs/Ga_{1-x}Al_{x}As\) As cylindrical quantum well wires. Physica B 405, 3239–3249 (2010)

    Article  ADS  Google Scholar 

  • Çakır, B., Atav, Ülfet, Yakar, Y., Özmen, A.: Calculation of Zeeman splitting and Zeeman transition energies of spherical quantum dot in uniform magnetic field. Chem. Phys. 475, 61–68 (2016)

    Article  Google Scholar 

  • Çakır, B., Yakar, Y., Özmen, A.: Linear and nonlinear absorption coefficients of spherical quantum dot inside external magnetic field. Physica B 510, 86–91 (2017)

    Article  ADS  Google Scholar 

  • Dane, C., Akbas, H., Guleroglu, A., Minez, S., Kasapoglu, K.: The hydrostatic pressure and electric field effects on the normalized binding energy of hydrogenic impurity in a GaAs/AlAs spherical quantum dot. Physica E 44, 186–189 (2011)

    Article  ADS  Google Scholar 

  • Davatolhagh, S., Jafari, A.R., Vahdani, M.R.K.: Oscillator strengths of the intersubband electronic transitions in the hydrogenic nano-antidots. Superlattices Microstructures 51, 62–72 (2012)

    Article  ADS  Google Scholar 

  • Esmaeili, H.R., Vaseghi, B., Rezaei, G.: Spin-orbit interaction effects in ZnO/ZnS core-shell and ZnS/ZnO inverted core-shell quantum dots. Eur. Phys. J. B 91: 284 (2018)

    Article  ADS  Google Scholar 

  • Holovatsky, V., Voitsekhivska, O., Bernik, I.: Effect of magnetic field on electron spectrum in spherical nano-structures. Condensed Matter Phys. 17(1), 13702: 1–8 (2014)

  • Holovatsky, V., Bernik, I., Yahnevych, M.: Effect of magnetic field on electron spectrum and probabilities of intraband quantum transitions in spherical quantum-dot-quantum-well. Physica E 83, 256–262 (2016)

    Article  ADS  Google Scholar 

  • Holovatsky, V.A., Voitsekhivska, O.M., Yakhnevych, M.Y.: Effect of magnetic field on an electronic structure and intraband quantum transitions in multishell quantum dots. Physica E 93, 295–300 (2017)

    Article  ADS  Google Scholar 

  • Holovatsky, V.A., Voitsekhivska, O.M., Ya Yakhnevych, M.: The effect of magnetic field and donor impurity on electron spectrum in spherical core-shell quantum dot. Superlattices Microstructures 116, 9–16 (2018)

    Article  ADS  Google Scholar 

  • Jafari, A.R., Naimi, Y.: Linear and nonlinear optical properties of multi-layered spherical nano-systems with donor impurity in the center. J. Comput. Electron. 12, 36–42 (2013)

    Article  Google Scholar 

  • Karimi, M.J., Rezaei, G.: Magnetic field effects on the linear and nonlinear optical properties of coaxial cylindrical quantum well wires. J. Appl. Phys. 111, 064313 (2012)

    Article  ADS  Google Scholar 

  • Kostic, R., Stojanovic, D.: Intersubband transitions in spherical quantum dot quantum well nanoparticle. Opt. Quant. Electron. 52, 285 (2020)

    Article  Google Scholar 

  • Naimi, Y., Jafari, A.R.: Oscillator strengths of the intersubband electronic transitions in the multi-layered nano-antidots with hydrogenic impurity. J. Comput. Electron. 11, 414–420 (2012)

    Article  Google Scholar 

  • Peter, A.J.: The effect of hydrostatic pressure on binding energy of impurity states in spherical quantum dots. Physica E 28, 225–229 (2005)

    Article  ADS  Google Scholar 

  • Raigoza, N., Morales, A.L., Duque, C.A.: Effects of hydrostatic pressure on donor states in symmetrical \(GaAs-Ga_{0.7}Al_{0.3}As\) As double quantum wells. Physica B 363, 262–270 (2005)

  • Rezaei, G., Shojaeian Kish, S.: 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 Microstructures 53, 99–112 (2013)

    Article  ADS  Google Scholar 

  • Sadeghi, E.: Electric field and impurity effects on optical property of a three-dimensional quantum dot: a combinational potential scheme. Superlattices and Microstructures 50(4), 331–339 (2011)

  • Sadeghi, E.: Impurity binding energy of excited states in spherical quantum dot. Physica E 41, 1319–1322 (2009)

    Article  ADS  Google Scholar 

  • Tanhaei, M.H., Rezaei, G.: Hydrogenic impurity, external electric and magnetic fields effects on the nonlinear optical properties of a multi-layer spherical quantum dot. Superlattices Microstruct. 98, 29–36 (2016)

    Article  ADS  Google Scholar 

  • Varshni, Y.P.: Accurate wavefunctions for hydrogenic donors in GaAs-(Ga, Al)As quantum dots. Phys. Lett. A 252, 248–250 (1999)

    Article  ADS  Google Scholar 

  • Zettili, N.: Quantum Mechanics Concepts and Applications, 2nd Edition, pp 408 (2009) 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Faculty of Sciences, Shiraz Branch, Islamic Azad University, Shiraz, Iran

    Fatemeh Rahimi, Tooraj Ghaffary & Hadi Khajehazad

  2. Department of Physics, Lamerd Higher Education Center, Lamerd, Iran

    Yaghoob Naimi

Authors
  1. Fatemeh Rahimi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tooraj Ghaffary
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yaghoob Naimi
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Hadi Khajehazad
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Tooraj Ghaffary.

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

Rahimi, F., Ghaffary, T., Naimi, Y. et al. Effect of magnetic field on energy states and optical properties of quantum dots and quantum antidots. Opt Quant Electron 53, 47 (2021). https://doi.org/10.1007/s11082-020-02695-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11082-020-02695-w

Keywords

Search

Navigation