Coexistence and coupling of zero-dimensional, two-dimensional, and continuum resonances in nanostructures

Voicu Popescu, Gabriel Bester, and Alex Zunger
Phys. Rev. B 80, 045327 – Published 31 July 2009

Abstract

Quantum dots (QDs) embedded in a matrix exhibit a coexistence of “zero-dimensional” (0D) bound electron and hole states on the dot with “three-dimensional” (3D) continuum states of the surrounding matrix. In epitaxial QDs one encounters also “two-dimensional” (2D) states of a quantum well-like supporting structure (wetting layer). This coexistence of 0D, 2D, and 3D states leads to interesting electronic consequences explored here using multiband atomistic pseudopotential calculations. We distinguish strained dots (InAs in GaAs) and strain-free dots (InAs in GaSb) finding crucial differences: in the former case “potential wings” appear in the electron confining potential in the vicinity of the dot. This results in the appearance of localized electronic states that lie above the threshold of the 3D continuum. Such resonances are “strain-induced localized states” (SILSs) appearing in strained systems, whereas in strain-free systems the dot resonances in the continuum are the usual “virtual bound states” (VBSs). The SILSs were found to occur regardless of the thickness of the wetting layer and even in interdiffused dots, provided that the interdiffusion length is small compared to the QD size. Thus, the SILSs are well isolated from the environment by the protective potential wings, whereas the VBSs are strongly interacting. These features are seen in our calculated intraband as well as interband absorption spectra. Furthermore, we show that the local barrier created around the dot by these potential wings suppresses the 0D-2D (dot-wetting layer) hybridization of the electron states. Consequently, in contrast to findings of simple model calculations of envelope function, 0D-to-2D “crossed transitions” (bound hole-to-wetting layer electron) are practically absent because of their spatially indirect character. On the other hand, since no such barrier exists in the hole confining potential, a strong 0D-2D hybridization is present for the hole states. We show this to be the source for the strong 2D-to-0D crossed transitions determined experimentally.

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  • Received 30 April 2009

DOI:https://doi.org/10.1103/PhysRevB.80.045327

©2009 American Physical Society

Authors & Affiliations

Voicu Popescu1, Gabriel Bester2, and Alex Zunger1,*

  • 1National Renewable Energy Laboratory, Golden, Colorado 80401, USA
  • 2Max-Planck-Institut für Festkörperforschung, Heisenbergstraße 1, D-70569 Stuttgart, Germany

  • *Corresponding author; alex.zunger@nrel.gov

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Vol. 80, Iss. 4 — 15 July 2009

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