Development of an eight-band theory for quantum dot heterostructures

E.P. Pokatilov, V.A. Fonoberov, V. Fomin, J.T. Devreese

Research output: Contribution to journalArticleAcademicpeer-review

83 Citations (Scopus)
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Abstract

We derive a nonsymmetrized eight-band effective-mass Hamiltonian for quantum dot heterostructures (QDH's) in Burt's envelope-function representation. The 8*8 radial Hamiltonian and the boundary conditions for the Schrodinger equation are obtained for spherical QDH's. Boundary conditions for symmetrized and nonsymmetrized radial Hamiltonians are compared with each other and with connection rules that are commonly used to match the wave functions found from the bulk k.p Hamiltonians of two adjacent materials. Electron and hole energy spectra in three spherical QDH's, HgS/CdS, InAs/GaAs, and GaAs/AlAs, are calcd. as a function of the quantum dot radius within the approx. symmetrized and exact nonsymmetrized 8*8 models. The parameters of dissymmetry are shown to influence the energy levels and the wave functions of an electron and a hole and, consequently, the energies of both intraband and interband transitions.
Original languageEnglish
Article number245328
Pages (from-to)245328-1/16
JournalPhysical Review B
Volume64
Issue number24
DOIs
Publication statusPublished - 2001

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