Self-consistent computation of electronic and optical properties of a single exciton in a spherical quantum dot via matrix diagonalization method
Küçük Resim Yok
Tarih
2009
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
AMER INST PHYSICS
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, we develop and demonstrate an efficient self-consistent calculation schema that computes the electronic structure and optical properties of a single exciton in a spherical quantum dot (QD) with an interacting pair of electron and hole wave functions. To observe modifications on bands, wave functions, and energies due to the attractive Coulomb potential, the full numeric matrix diagonalization technique is employed to determine sublevel energy eigenvalues and their wave functions in effective mass approximation. This treatment allows to observe that the conduction and valance band edges bend, that the electron and hole wave functions strongly localize in the QD, and that the excitonic energy level exhibits redshift. In our approach for the Coulomb term between electron and hole, the Poisson-Schrodinger equations are solved self-consistently in the Hartree approximation. Subsequently, exciton binding energies and associated optical properties are computed. The results are presented as a function of QD radii and photon energies. We conclude that all of these numerical results are in agreement with the experimental studies. (C) 2009 American Institute of Physics. [DOI: 10.1063/1.3197034]
Açıklama
Anahtar Kelimeler
Kaynak
JOURNAL OF APPLIED PHYSICS
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
106
Sayı
4
