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Applied Physics Letters / Volume 87 / Issue 21 / NANOSCALE SCIENCE AND DESIGN

Appl. Phys. Lett. 87, 213106 (2005); http://dx.doi.org/10.1063/1.2130378 (3 pages)

Optical matrix element in InAs/GaAs quantum dots: Dependence on quantum dot parameters

A. D. Andreev1 and E. P. O’Reilly2

1Department of Physics, University of Surrey, Guildford, GU2 7XH, United Kingdom
2Tyndall National Institute, Lee Maltings, Cork, Ireland

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(Received 13 May 2005; accepted 3 October 2005; published online 15 November 2005)

We present a theoretical analysis of the optical matrix element between the electron and hole ground states in InAs/GaAs quantum dots (QDs) modeled with a truncated pyramidal shape. We use an eight-band k∙p Hamiltonian to calculate the QD electronic structure, including strain and piezoelectric effects. The ground state optical matrix element is very sensitive to variations in both the QD size and shape. For all shapes, the matrix element initially increases with increasing dot height, as the electron and hole wave functions become more localized in k space. Depending on the QD aspect ratio and on the degree of pyramidal truncation, the matrix element then reaches a maximum for some dot shapes at intermediate size beyond which it decreases abruptly in larger dots, where piezoelectric effects lead to a marked reduction in electron-hole overlap.

© 2005 American Institute of Physics

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KEYWORDS and PACS

Keywords

indium compounds, gallium arsenide, III-V semiconductors, semiconductor quantum dots, k.p calculations, band structure, piezoelectricity, Green's function methods, Fourier transform spectra, wave functions

PACS

  • 78.67.Hc

    Quantum dots

  • 71.20.Nr

    Semiconductor compounds

  • 73.21.La

    Quantum dots

  • 77.65.-j

    Piezoelectricity and electromechanical effects

  • 77.84.-s

    Dielectric, piezoelectric, ferroelectric, and antiferroelectric materials

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.2130378

PUBLICATION DATA

ISSN

0003-6951 (print)  
1077-3118 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

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