Abstract
In framework of the adiabatic approximation the energy states of electron as well as direct light absorption are investigated in strongly oblate and strongly prolate ellipsoidal quantum dots (QDs) at presence of electric and magnetic fields. Analytical expressions for particle energy spectrum are obtained. The dependence of energy levels’ configuration on QD geometrical parameters and field intensities is analytically obtained. The energy levels of electrons are shown to be equidistant both for strongly oblate and prolate QDs. The effect of the external fields on direct light absorption of a QD was investigated. The dependence of the absorption edge on geometrical parameters of QDs and intensities of the electric and magnetic fields is obtained. Selection rules are obtained at presence as well as absence of external electric and magnetic fields. In particular, it is shown that the presence of the electric field cancels the quantum numbers selection rules at the field direction, whereas in radial direction the selection rules are preserved. Perspectives of practical applications for device manufacturing based on ellipsoidal quantum dots are outlined.
Highlights
Recent interest to semiconductor quantum dots (QDs) is conditioned by new physical properties of these zerodimensional objects, which are conditioned by size-quantization (SQ) effect of the charge carriers (CCs) [1,2,3]
QD geometric shapes and dimensions may serve as useful tools for CC energy spectrum and other characteristic parameters variation inside a QD for various practical applications in systems comprised of QD ensembles
Electronic states and direct inter-band light absorption are considered below for strongly oblate ellipsoidal quantum dots (SOEQD) and strongly prolate ellipsoidal quantum dots (SPEQD) at presence of unidirectional electric and magnetic fields; the problem is considered for strong SQ regime
Summary
Recent interest to semiconductor quantum dots (QDs) is conditioned by new physical properties of these zerodimensional objects, which are conditioned by size-quantization (SQ) effect of the charge carriers (CCs) [1,2,3]. The strong external fields, at certain values of their intensities, may have the same, or even stronger SQ effect on the energy spectrum than the quantum dot’s shape variation.
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