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The Properties of the Polarons’ Ground State in Coupling Spherical Quantum Dots

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Abstract

Investigations on the properties of polarons in coupling quantum dots (QDs) are useful for the designs of quantum devices and applications of QDs. Based on accurately solving the time-independent Schrödinger equation, the famous Lee-Low-Pines unitary transformation (LLPUT) and variation methods, we have obtained the ground state energy of polarons in two spherical quantum dots (TSQD) with Coulomb interaction. The numerical results show that Coulomb interaction energy, electronic kinetic energy, induced potential and the ground state energy all decrease with increasing the interval of spherical centers or radius of quantum dot (QD).

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Acknowledgements

This project was supported by the National Science Foundation of China under Grant No.11464034, Natural Science Foundation of Inner Mogolia Autonomous Region of China under Grant No. 2016MS0119 and 2016BS0107.

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Authors and Affiliations

  1. Institute of Condensed Matter Physics, Inner Mongolia University for Nationalities, Tongliao, 028043, China

    Cui-Lan Zhao, Si-Yuan Li, Chun-Yu Cai & Jing-Lin Xiao

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  1. Cui-Lan Zhao
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  2. Si-Yuan Li
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Correspondence to Cui-Lan Zhao.

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Zhao, CL., Li, SY., Cai, CY. et al. The Properties of the Polarons’ Ground State in Coupling Spherical Quantum Dots. Int J Theor Phys 58, 2711–2719 (2019). https://doi.org/10.1007/s10773-019-04161-0

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  • DOI: https://doi.org/10.1007/s10773-019-04161-0

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