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Accuracy of Effective Mass Equation for a Single and Double Cylindrical Quantum Dot

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Mielnik-Pyszczorski A., Gawarecki K., Machnikowski P.
Acta Physica Polonica A
|
2017
|
vol. 132
|
issue 2
376-379
EN
In this contribution we study the accuracy of various forms of electron effective mass equation in reproducing spectral and spin-related features of quantum dot systems. We compare the results of the standard 8 band k·p model to those obtained from effective mass equations obtained by perturbative elimination procedures in various approximtions for a cylindrical quantum dot or a system of two such dots. We calculate the splitting of electronic shells, the electron g-factor and spin-orbit induced spin mixing and show that for a cylindrical dot the g-factor is reproduced very exactly, while for the two other quantities the effective mass equation is much less accurate.
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