Biexciton states in semiconductor quantum dots and their nonlinear optical properties

Research output: Contribution to journalArticle

243 Citations (Scopus)

Abstract

Biexciton states in semiconductor quantum dots (spherical microcrystallites) are investigated variationally, and the biexciton binding energy and the oscillator strength are calculated as a function of the quantum-dot radius, the electron-to-hole mass ratio, and the dielectric constant ratio of the semiconductor to the surrounding medium. The most important mechanisms for enhancing the biexciton binding energy and the oscillator strength are clarified. One is the quantum confinement effect, which increases the spatial overlap between carriers, leading to enhanced Coulomb interaction. Another is the dielectric confinement effect due to the dielectric constant discontinuity at the interface between a semiconductor microcrystallite and the surrounding medium. This effect arises from the penetration of electric force lines through the surrounding medium with a relatively small dielectric constant and leads to an enhancement of the Coulomb interaction. It is found that the frequency dispersion of the third-order nonlinear susceptibility (3) shows an out-of-phase behavior at the one- and two-photon resonances, which is characteristic of the exciton and biexciton transitions. For typical materials which are promising for observation of the biexciton state in microcrystallites, the values of the biexciton binding energy, the third-order nonlinear susceptibility (3), and the two-photon absorption coefficient K2 of the biexciton state are predicted theoretically.

Original languageEnglish
Pages (from-to)10206-10231
Number of pages26
JournalPhysical Review B
Volume39
Issue number14
DOIs
Publication statusPublished - 1989
Externally publishedYes

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Binding energy
Semiconductor quantum dots
Permittivity
Photons
Optical properties
binding energy
quantum dots
permittivity
Coulomb interactions
optical properties
oscillator strengths
photons
Semiconductor materials
magnetic permeability
Quantum confinement
Phase behavior
Electron transitions
Excitons
mass ratios
absorptivity

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Biexciton states in semiconductor quantum dots and their nonlinear optical properties. / Takagahara, Toshihide.

In: Physical Review B, Vol. 39, No. 14, 1989, p. 10206-10231.

Research output: Contribution to journalArticle

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