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Calculation of Energy States of Excitons in Square Quantum Wells

  • XXV International Symposium “Nanostructures: Physics and Technology”, Saint Petersburg, Russia, June 26–30, 2017. Excitons in Nanostructures
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Abstract

The ground and excited energy states of excitons in single square GaAs-based quantum wells are found by the numerical solution of the three-dimensional Schrödinger equation. This equation is obtained within the envelope-function formalism from the exciton energy operator using the spherical approximation of the Luttinger Hamiltonian. Precise results for the exciton states are achieved by the finite-difference method. The radiative decay rates of the calculated states are also determined.

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References

  1. E. L. Ivchenko, Optical Spectroscopy of Semiconductor Nanostructures (Alpha Science, Harrow, 2005).

    Google Scholar 

  2. S. V. Poltavtsev and B. V. Stroganov, Phys. Solid State 52, 1899 (2010).

    Article  ADS  Google Scholar 

  3. S. V. Poltavtsev, Yu. P. Efimov, Yu. K. Dolgikh, et al., Solid State Commun. 199, 47 (2014).

    Article  ADS  Google Scholar 

  4. D. K. Loginov, A. V. Trifonov, and I. V. Ignatiev, Phys. Rev. B 90, 075306 (2014).

    Article  ADS  Google Scholar 

  5. A. V. Trifonov, S. N. Korotan, A. S. Kurdyubov, et al., Phys. Rev. B 91, 115307 (2015).

    Article  ADS  Google Scholar 

  6. D. B. T. Thoai, R. Zimmermann, M. Grundmann, and D. Bimberg, Phys. Rev. B 42, 5609(R) (1990).

    Article  Google Scholar 

  7. B. Gerlach, J. Wüsthoff, M. O. Dzero, and M. A. Smondyrev, Phys. Rev. B 58, 10568 (1998).

    Article  ADS  Google Scholar 

  8. E. S. Khramtsov, P. A. Belov, P. S. Grigoryev, et al., J. Appl. Phys. 119, 184301 (2016).

    Article  ADS  Google Scholar 

  9. P. A. Belov and E. S. Khramtsov, J. Phys.: Conf. Ser. 816, 012018 (2017).

    Google Scholar 

  10. J. M. Luttinger, Phys. Rev. 102, 1030 (1956).

    Article  ADS  Google Scholar 

  11. A. A. Samarskii, The Theory of Difference Schemes (Nauka, Moscow, 1989) [in Russian].

    MATH  Google Scholar 

  12. S. Glutsch, Excitons in Low-Dimensional Semiconductors (Berlin, Springer, 2004).

    Book  Google Scholar 

  13. R. B. Lehoucq, D. C. Sorensen, and C. Yang, ARPACK Users’ Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods (SIAM, Philadelphia, 1997).

    MATH  Google Scholar 

  14. I. Vurgaftman, J. R. Meyer and L. R. Ram-Mohan, J. Appl. Phys. 89, 5815 (2001).

    Article  ADS  Google Scholar 

  15. M. M. Voronov, E. L. Ivchenko, V. A. Kosobukin and A. N. Poddubny, Phys. Solid State 49, 1792 (2007).

    Article  ADS  Google Scholar 

  16. Y. Chen, N. Maharjan, Z. Liu, et al., J. Appl. Phys. 121, 103101 (2017).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Computational Physics, St. Petersburg State University, St. Petersburg, 198504, Russia

    P. A. Belov

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  1. P. A. Belov
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Correspondence to P. A. Belov.

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Belov, P.A. Calculation of Energy States of Excitons in Square Quantum Wells. Semiconductors 52, 551–553 (2018). https://doi.org/10.1134/S1063782618050032

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  • DOI: https://doi.org/10.1134/S1063782618050032

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