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New way for determining electron energy levels in quantum dots arrays using finite difference method

Abstract : Electronic states are investigated in quantum dots arrays, depending on the type of cubic Bravais lattice (primitive, body centered or face centered) according to which the dots are arranged, the size of the dots and the interdot distance. It is shown that the ground state energy level can undergo significant variations when these parameters are modified. The results were obtained by means of finite difference method which has proved to be easily adaptable, efficient and precise. The symmetry properties of the lattice have been used to reduce the size of the Hamiltonian matrix.
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https://hal.univ-lorraine.fr/hal-02900887
Contributor : Francis Dujardin Connect in order to contact the contributor
Submitted on : Thursday, July 16, 2020 - 3:02:32 PM
Last modification on : Monday, January 24, 2022 - 12:27:25 PM

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F. Dujardin, E. Assaid, E. Feddi. New way for determining electron energy levels in quantum dots arrays using finite difference method. Superlattices and Microstructures, Elsevier, 2018, 118, pp.256-265. ⟨10.1016/j.spmi.2018.04.027⟩. ⟨hal-02900887⟩

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