Influence of quantum dot shape on energy spectra of three-dimensional quantum dots superlattices

I.V Bilynskyi,R.Ya Leshko,H.O Bandura

doi:10.15330/pcss.21.4.584-590

Abstract

The band spectrum of quantum dots superlattices of different shapes at points of high symmetry is determined. Cubic, cylindrical and spherical quantum dots are considered. The width of the minizone is calculated. The dependences of the minizones on the geometric dimensions of quantum dots and their concentration are established.

Highlights

Quantum dot (QD) lasers based on the АIIIВV compound, one of the large modern practical applications of quantum dots [1,2,3]
The authors limited themselves to considering the energy spectrum of these electronic 3D-subbands, stating that it is more sensitive to the parameters of the superlattice of cubic quantum dots (SCQD) than to the shape of the QDs themselves
We introduce the following notation: r1 – radius of a spherical quantum dots (QD) in supergrate of spherical quantum dots (SSQD); a – the length of the edge of the QD; L – distance between centers of QD

Summary

Introduction

Quantum dot (QD) lasers based on the АIIIВV compound, one of the large modern practical applications of quantum dots [1,2,3]. The most desirable in practice is the range of maximum transparency of the fiber - wavelength 1.3 - 1.5 μm It is at a wavelength of 1.3 μm (that is, the maximum transparency of the optical fiber) that lasers are emitted and realized at quantum dots InAs in the matrix GaAs [45]. The authors of work [11] considered the superlattices of the cubic quantum dots GaAs/AlAs, which are widely used in infrared photodetectors. The authors limited themselves to considering the energy spectrum of these electronic 3D-subbands, stating that it is more sensitive to the parameters of the superlattice of cubic quantum dots (SCQD) than to the shape of the QDs themselves. The influence of QDs size and the distance between them on the position of the energy bands and their width had investigated

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