Abstract
The theory of exciton spectrum in spherically symmetric states for the three- shell closed spherical quantum dot is proposed. The evolution of the exciton spectrum while varying the outer well thickness from zero (stationary spectrum of single closed spherical quantum dot) to infinity (quasistationary spectrum of a single open spherical quantum dot) is investigated. The mechanism of damping (semiwidth) of quasistationary states due to the redistribution over the energy levels of probability of exciton location in the space of two inner shells of nanosystem is studied. It is shown that the three shell closed spherical quantum dot of a rather big thickness of the outer well quite sufficiently and exactly reflects the basic properties of the quasistationary exciton spectrum in a single open spherical quantum dot.
Highlights
The present-day experimental possibilities of growing the multilayer nanoheterosystems, the technique of ion substitution, permit the fabrication and study of both closed and open quantum dots [1,2,3]
Regarding the theory of excitons or the theory of interaction of electrons, holes, and excitons with phonons in closed spherical quantum dots (SQDs), it is quite well developed in the context of various models for the phonon subsystem for closed systems [7,8]
The theory of exciton spectrum in three-shell closed SQD has been developed for the first time
Summary
Fedkovych Chernivtsi National University, 2, Kotsyubinskoho St., Chernivtsi, 58012, Ukraine∗. The theory of exciton spectrum in spherically symmetric states for the three- shell closed spherical quantum dot is proposed. The evolution of the exciton spectrum while varying the outer well thickness from zero (stationary spectrum of single closed spherical quantum dot) to infinity (quasistationary spectrum of a single open spherical quantum dot) is investigated. The mechanism of damping (semiwidth) of quasistationary states due to the redistribution over the energy levels of probability of exciton location in the space of two inner shells of nanosystem is studied. It is shown that the three shell closed spherical quantum dot of a rather big thickness of the outer well quite sufficiently and exactly reflects the basic properties of the quasistationary exciton spectrum in a single open spherical quantum dot
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