13 October 2017 Exciton states and direct interband light absorption in the ensemble of toroidal quantum dots
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J. of Nanophotonics, 11(4), 046004 (2017). doi:10.1117/1.JNP.11.046004
Abstract
One electron and exciton states in toroidal quantum dot (QD) have been considered. The convenient coordinate system has been defined and the Schrodinger equation has been solved in these coordinates. The electron energy spectrum and wave function dependence on the geometrical parameters of toroidal QD have been obtained. The comparison with the results obtained by numerical methods has been done. Optical absorption has been considered in both cases of “small” toroid when the interaction of an electron and a hole is neglected and cases of relatively “large” toroid when the correlation between the particles has been taken into account. Interband optical transitions have been considered in the ensemble of toroidal QDs. The selection rules for quantum transitions and absorption edge dependence on the geometrical parameters have been obtained.
© 2017 Society of Photo-Optical Instrumentation Engineers (SPIE)
Davit A. Baghdasaryan, David B. Hayrapetyan, Hayk A. Sarkisyan, Eduard M. Kazaryan, Sergey I. Pokutnyi, "Exciton states and direct interband light absorption in the ensemble of toroidal quantum dots," Journal of Nanophotonics 11(4), 046004 (13 October 2017). http://dx.doi.org/10.1117/1.JNP.11.046004 Submission: Received 2 June 2017; Accepted 26 September 2017
Submission: Received 2 June 2017; Accepted 26 September 2017
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KEYWORDS
Absorption

Excitons

Quantum dots

Particles

Oscillators

Quantization

Finite element methods

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