Theory of fine structure of correlated exciton states in self-assembled semiconductor quantum dots in a magnetic field

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DOIResolve DOI: http://doi.org/10.1103/PhysRevB.84.245314
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TypeArticle
Journal titlePhysical review. B, Condensed matter and materials physics
Volume84
Issue24
Pages245314-1245314-10; # of pages: 10
AbstractA theory of the fine structure of correlated exciton states in self-assembled parabolic semiconductor quantum dots in a magnetic field perpendicular to the quantum dot plane is presented. The correlated exciton wave function is expanded in configurations consisting of products of electron and heavy-hole 2D harmonic oscillator states (HO) in a magnetic field and the electron spin Sz = ±1/2 and a heavy-hole spin τz = ±3/2 states. Analytical expressions for the short- and long-range electron-hole exchange Coulomb interactionmatrix elements are derived in the HO and spin basis for arbitrary magnetic field. This allows the incorporation of short- and long-range electron-hole exchange, direct electron-hole interaction, and quantum dot anisotropy in the exact diagonalization of the exciton Hamiltonian. The fine structure of ground and excited correlated exciton states as a function of a number of confined shells, quantum dot anisotropy, and magnetic field is obtained using exact diagonalization of the many-body Hamiltonian. The effects of correlations are shown to significantly affect the energy splitting of the two bright exciton states.
Publication date
LanguageEnglish
AffiliationNRC Institute for Microstructural Sciences; National Research Council Canada
Peer reviewedYes
NPARC number19335197
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Record identifier18b7364c-7741-4cc4-96fe-fa566aec7933
Record created2012-02-29
Record modified2016-05-09
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