Electron and hole states in quantum dot quantum wells within a spherical eight-band model

E. P. Pokatilov, V. A. Fonoberov, V. M. Fomin, and J. T. Devreese
Phys. Rev. B 64, 245329 – Published 10 December 2001
PDFExport Citation

Abstract

In order to study heterostructures composed both of materials with strongly different parameters and of materials with narrow band gaps, we have developed an approach [E. P. Pokatilov et al., Phys. Rev. B 64, 245328 (2001), preceding paper)], which combines the spherical eight-band effective-mass Hamiltonian and the Burt’s envelope-function representation. Using this method, electron and hole states are calculated in CdS/HgS/CdS/H2O and CdTe/HgTe/CdTe/H2O quantum dot quantum-well heterostructures. Radial components of the wave functions of the lowest S and P electron and hole states in typical quantum dot quantum wells (QDQW’s) are presented as a function of radius. The six-band-hole components of the radial wave functions of an electron in the eight-band model have amplitudes comparable with the amplitude of the corresponding two-band-electron component. This is a consequence of the coupling between the conduction and valence bands, which gives a strong nonparabolicity of the conduction band. At the same time, the two-band-electron component of the radial wave functions of a hole in the eight-band model is small compared with the amplitudes of the corresponding six-band-hole components. It is shown that in the CdS/HgS/CdS/H2OQDQW holes in the lowest states are strongly localized in the well region (HgS). On the contrary, electrons in this QDQW and both electron and holes in the CdTe/HgTe/CdTe/H2OQDQW are distributed through the entire dot. The importance of the developed theory for QDQW’s is proven by the fact that in contrast to our rigorous eight-band model, there appear spurious states within the commonly used symmetrized eight-band model.

  • Received 12 April 2001

DOI:https://doi.org/10.1103/PhysRevB.64.245329

©2001 American Physical Society

Authors & Affiliations

E. P. Pokatilov* and V. A. Fonoberov

  • Laboratory of Multilayer Structure Physics, Department of Theoretical Physics, State University of Moldova, Strada Mateevici 60, MD-2009 Chişinău, Moldova

V. M. Fomin and J. T. Devreese§

  • Theoretische Fysica van de Vaste Stof, Departement Natuurkunde, Universiteit Antwerpen (UIA), Universiteitsplein 1, B-2610 Antwerpen, Belgium

  • *Electronic address: pokatilov@add.moldova.su
  • Electronic address: URL: http://www.geocities.com/fonobero/
  • Permanent address: Laboratory of Multilayer Structure Physics, Department of Theoretical Physics, State University of Moldova, Strada Mateevici 60, MD-2009 Chişinău, Moldova. Electronic address: fomin@uia.ua.ac.be
  • §Also at Universiteit Antwerpen (RUCA), Groenenborgerlaan 171, B-2020 Antwerpen, Belgium and Technische Universiteit Eindhoven, P. O. Box 513, 5600 MB Eindhoven, The Netherlands. Electronic address: devreese@uia.ua.ac.be

References (Subscription Required)

Click to Expand
Issue

Vol. 64, Iss. 24 — 15 December 2001

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×