Some theoretical results on semiconductor spherical quantum dots
Baptiste Billaud (LPTM), T.T. Truong (LPTM)
TL;DR
This paper presents an improved theoretical model for semiconductor spherical quantum dots, enabling analytic calculations of excitonic energies, Stark and Lamb shifts, and exploring the Purcell effect's potential for visible-range QD lasers.
Contribution
It introduces an enhanced effective mass approximation model for quantum dots, allowing more precise analytic predictions of quantum effects and laser applications.
Findings
Analytic expressions for excitonic ground state energy as a function of QD radius
Quantitative estimates of Stark and Lamb shifts in QDs
Potential for QD-LASER emission in visible light range
Abstract
We use an improved version of the standard effective mass approximation model to describe quantum effects in nanometric semiconductor Quantum Dots (QDs). This allows analytic computation of relevant quantities to a very large extent. We obtain, as a function of the QD radius, in precise domains of validity, the QD excitonic ground state energy and its Stark and Lamb shifts. Finally, the Purcell effect in QDs is shown to lead to potential QD-LASER emitting in the range of visible light.
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