The Wannier–Mott exciton in a semiconductor quantum dot is considered. The effect of medium polarization and the effect of screening of the “electron-hole” Coulomb interaction on the exciton properties are studied by the method of direct numerical solution of the Schrödinger equation. Polarization and screening have the greatest effect on exciton levels, if the quantum dot radius is commensurate with the exciton Bohr radius and the electron and hole polaron radii (strong confinement mode). As the quantum dot radius decreases, the sign of the intraexciton contribution to the energy changes, which is explained by an increase in the kinetic energy of the electron and hole and the loss of their bound state.
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M. V. Maximov, A. M. Nadtochiy, S. A. Mintairov, et al., Appl. Sci., 10, 103 (2020).
U. Woggon and S. V. Gaponenko, Phys. Stat. Sol. (b), 189, 285 (1995).
S. Ghimire and V. Biju, J. Photochem. Photobiol. C, 34, 137 (2018).
S. Germanis, P. Atkinson, R. Hostein, et al., Phys. Rev. B, 98, 155303 (2018).
M. Holtkemper, G. F. Quinteiro, D. E. Reiter, et al., Phys. Rev. Res., 3, 013024 (2021).
A. I. Yakimov, A. V. Dvurechenskii, A. I. Nikiforov, et al., Pis’ma Zh. Eksp. Teor. Fiz., 68, Vyp. 2, 125 (1998).
R. T. Senger and K. K. Bajaj, Phys. Stat. Sol. (b), 236, No. 1, 82 (2003).
M. Nilsson, L. Namazi, S. Lehmann, et al., Phys. Rev. B, 94, 115313 (2016).
P. E. Lippens and M. Lannoo, Phys. Rev. B, 41, 6079 (1990).
G. T. Einevoll, Phys. Rev. B, 45, 3410 (1992).
T. Takagahara and K. Takeda, Phys. Rev. B, 46, 15578(R) (1992).
M. Boero, J. M. Rorison, G. Duggan, et al., Surf. Sci. 377–379, 371 (1997).
J. L. Marin, R. Riera, and S. A. Cruz, J. Phys.: Cond. Matter., 10, 1349 (1998).
K. Oshiro, K. Akai, and M. Matsuura, Phys. Rev. B, 59, 10850 (1999).
R. T. Senger and K. K. Bajaj, Phys. Rev. B, 68, 045313 (2003).
A. Franceschetti, H. Fu, L. W. Wang, et al., Phys. Rev. B, 60, 1819 (1999).
Shi Jun-Jie and Chin. Phys., 11, No. 12, 1286 (2002).
S. Corni, M. Brasken, M. Lindberg, et al., Phys. Rev. B., 67, 045313 (2003).
S. I. Pokutnii, Fiz. Tekh. Poluprovodn., 41, No. 11, 1341 (2007).
A. I. Yakimov, A. A. Bloshkin, and A. V. Dvurechenskii, Pis’ma Zh. Eksp. Teor. Fiz., 90, Vyp. 8, 621 (2009).
G. G. Zegrya and D. M. Samosvat, Zh. Eksp. Teor. Fiz., 135, Vyp. 6, 1043 (2009).
R. S. Knox, Theory of Excitons, Academic Press (1963).
H. Haken, Polarons and Excitons, ed. C. G. Kuper and G. D. Whitfield, Oliver and Boyd Ltd, Edinburgh (1963).
J. Pollmann and H. Buttner, Phys. Rev. B, 16, 4480 (1977).
A. Messiah, Quantum Mechanics, Dover Publications (2014).
L. D. Landau and E. M. Livshits, Quantum Mechanics (Nonrelativistic Theory) [in Russian], Fizmatlit, Moscow (2002).
Al. L. Efros, Fiz. Tekh. Poluprovodn., 16, No. 7, 1209 (1982).
Y. Kayanuma, Phys. Rev. B, 38, 9797 (1988).
A. D. Yoffe, Adv. Phys., 42, No. 2, 173 (1993).
H. B. Keller, Numerical Methods for Two-Point Boundary-Value Problems, Dover Publications (2018).
L.-W. Wang and A. Zunge, Phys. Rev. B, 53, 9579 (1996).
H. Yeo, J. S. Lee, M. E. Khan, et al., J. Phys. Mater., 3, No. 3, 034012 (2020).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 15–23, December 2022
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Rekhviashvili, S.S. Effect of Polarization on Exciton Properties in a Semiconductor Quantum Dot. Russ Phys J 65, 2058–2067 (2023). https://doi.org/10.1007/s11182-023-02871-x
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DOI: https://doi.org/10.1007/s11182-023-02871-x