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Electronic States and Absorption of Light in a Lemniscate Shaped Quantum Dot Molecule

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Abstract

In the framework of adiabatic approximation the electronic states and direct interband absorption of light in the double quantum dot molecule (QDM) having a shape of Cassini lemniscate revolution are discussed for modeling of highly selective and sensitive biochemical detectors based on a charge transfer between non-organic nanoceramic structure and analyte molecules. Analytical expressions for the wave functions and energy spectrum of the electron in the QDM are treated taking into account difference of the effective masses of the electron in different spatial directions. The split of the energy levels due to the possibility of the electron tunneling between quantum dots (QDs) in the molecule is revealed. The corresponding selection rules of quantum transitions for the direct interband absorption of light are obtained. The absorption threshold behavior characteristics depending on the QDs geometrical sizes and the width of the QDs connecting region are also revealed.

This work is supported by the NSF (HRD-1345219) and NASA (NNX09AV07A) and in part by the M. Hildred Blewett Fellowship of the American Physical Society, www.aps.org.

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Correspondence to B. Vlahovic .

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Dvoyan, K.G., Tshantshapanyan, A.A., Vlahovic, B. (2016). Electronic States and Absorption of Light in a Lemniscate Shaped Quantum Dot Molecule. In: Lee, W., Gadow, R., Mitic, V., Obradovic, N. (eds) Proceedings of the III Advanced Ceramics and Applications Conference. Atlantis Press, Paris. https://doi.org/10.2991/978-94-6239-157-4_3

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  • DOI: https://doi.org/10.2991/978-94-6239-157-4_3

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  • Publisher Name: Atlantis Press, Paris

  • Print ISBN: 978-94-6239-156-7

  • Online ISBN: 978-94-6239-157-4

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