Abstract
We analytically and numerically investigate the energy states of an electron confined in the conduction band of oblate spheroidal CdSe quantum dot with finite barrier height. The Schrodinger equation is solved numerically in appropriate spheroidal coordinate system. The various energy states have been calculated as a function of dot volume and eccentricity of the spheroid. It is observed that with increasing the volume of the quantum dot, the energy decreases. However, with the increasing eccentricity, the energy increases. We also found that the energy states corresponding to lower value of \(m\) have higher energy and higher value of \(m\) have lower energy. In addition, we obtain transition energies for (1S-1P) and (1P-1D) transitions and we found that with increasing dot size, the transition energy decreases. Also, it is observed that surrounding matrix significantly affects the transition energy values. The results of energy states of confined electron in oblate spheroidal quantum dot are compared with that of spherical quantum dot and the results reveal that they are found at different positions.
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References
M. Lepadatu et al., J. Appl. Phys. 107, 033721 (2010)
X. Peng et al., Nature 404, 59 (2000)
G. Cantele et al., Phys. Rev. B 64(12), 125325 (2001)
L.S. Li et al., Nano Lett. 1, 349 (2001)
D. Maikhuri et al., J. Appl. Phys. 112, 104323 (2012)
F. Trani et al., Phys. Rev. B 72, 075423 (2005)
G. Cantele et al., Nano Lett. 1, 121 (2001)
L.C. Lew-Yan-Voon, M. Willatzen, J. Phys. Condens. Matter. 16, 1087 (2004)
L.C. Lew-Yan-Voon, M. Willatzen, J. Phys. Condens. Matter. 14, 13667 (2002)
J. Even, J. Phys. A Math. General 36, 11677 (2003)
G. Cantele et al., J. Phys. Condensed Matter 12, 9019 (2000)
M. Alijabbari et al., Superlattices Microstruct. 133, 106180 (2019)
A. Bagga et al., Nanotechnology 16, 2726 (2005)
F. Dujardin, Superlattices Microstruct. 114, 296 (2018)
D. Baghdasaryan et al., Phys. B 479, 85 (2015)
D. Baghdasaryan et al., Eur. Phys. J. B 88, 1 (2015)
A. Sivakami et al., Phys. E 40, 649 (2008)
M. Willatzen, L.C. Lew-Yan-Voon, Phys. E 16, 286 (2003)
A.Y. Ramos et al., J. Phys. B Atom. Mol. Opt. Phys. 47, 015502 (2013)
M. Kirak et al., J. Phys. D Appl. Phys. 48, 325301 (2015)
D.J. Ferreira et al., Nanotechnology 15, 975 (2004)
L.W. Li, X.K. Kang, M.S. Leong, Spheroidal wave functions in electromagnetic theory (Wiley, 2002)
M. Willatzen, L.C. Lew, Y. Voon, Separable boundary-value problems in physics (Wiley, 2011)
A. Gusev et al., Phys. At. Nucl. 76, 1033 (2013)
D.B. Hayrapetyan, J. Cont. Phys. 42, 292 (2007)
C. Delerue, M. Lannoo, Nanostructures: theory and modelling (Springer, 2004)
B.S. Kim et al., J. Appl. Phys. 89, 8127 (2001)
A. Salmanogli et al., J. Nanoparticle Res. 13, 1197 (2011)
V.T. Rangel-Kuoppa et al., Appl. Phys. Lett. 100, 252110 (2012)
D.V. Melnikov et al., Phys. Rev. B 64, 245320 (2001)
Acknowledgements
We thank Manav Rachna University, Faridabad for providing facilities to carry out this work.
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Maikhuri, D., Manna, S. Numerical modeling for computation of confined energy states in oblate spheroidal quantum dots: effect of dot size, eccentricity and surrounding matrix. Eur. Phys. J. Plus 136, 1196 (2021). https://doi.org/10.1140/epjp/s13360-021-02207-z
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DOI: https://doi.org/10.1140/epjp/s13360-021-02207-z