Journal
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES
Volume 116, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.physe.2019.113755
Keywords
Excitons; Spherical quantum dots; Hartree approximation
Funding
- SECYT-UNC, Argentina
- CONICET, Argentina
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The properties of excitons formed in spherical quantum dots are studied using the k . p method within the Hartree approximation. The spherical quantum dots considered have a central core and several concentric layers of different semiconductor materials that are modeled as a succession of potential wells and barriers. The k . p Hamiltonian and the Coulomb equations for the electron-hole pair are solved using a self-consistent iterative method. The calculation of the spectrum of the empty quantum dot and the electron-hole pair is performed by means of a very accurate numerical approximation. It is found that the exciton binding energy as a function of the core radius of the quantum dot shows a strong non-linear behavior. In particular, for quantum dots with two potential wells, the binding energy presents a large steep change. This last behavior is explained in terms of the polarization charges at the interfaces between different materials and the matching conditions for the eigenfunctions.
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