2011/07/21 by Baptiste Billaud, Billaud, Baptiste, T. T. Truong +2
Engineering · Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Plasmonic and Surface Plasmon Research #Quantum Electrodynamics and Casimir Effect #Strong Light-Matter Interactions #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.1107.4159
openalex publication_date 2011/07/21 · arxiv created 2012/02/29 · arxiv updated 2012/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Quantum effects at the nanometric level have been observed in many confined structures, and particularly in semiconductor quantum dots (QDs). In this work, we propose a theoretical improvement of the so-called effective mass approximation with the introduction of an effective pseudo-potential. This advantageously allows analytic calculations to a large extent, and leads to a better agreement with experimental data. We have obtained, as a function of the QD radius, in precise domains of validity, the QD ground state energy, its Stark and Lamb shifts. An observable Lamb shift is notably predicted for judiciously chosen semiconductor and radius. Despite the intrinsic non-degeneracy of the QD energy spectrum, we propose a Gedankenexperiment based on the use of the Casimir effect to test its observability. Finally, the effect of an electromagnetic cavity on semiconductor QDs is also considered, and its Purcell factor evaluated. This last result raises the possibility of having a QD-LASER emitting in the range of visible light.