M. Iwamatsu et Kj. Horii, DIELECTRIC CONFINEMENT EFFECTS ON THE IMPURITY AND EXCITON BINDING-ENERGIES OF SILICON DOTS COVERED WITH A SILICON DIOXIDE LAYER, JPN J A P 1, 36(10), 1997, pp. 6416-6423
The binding energies of hydrogenic impurities and excitons in silicon
(Si) dots modelled by a sphere covered with a silicon dioxide (SiO2) l
ayer and embedded in various dielectric media, are calculated as a fun
ction of the sphere size and the thickness of tile oxide, The strong-c
onfinement limit was considered, so that all of the electrostatic inte
ractions are treated as first-order perturbations considering the conf
ined free-electron state as the unperturbed state. A recently proposed
size correction for the dielectric constant of the Si dot is also tak
en into account. These calculations demonstrate the importance of the
image-charge effect due to dielectric discontinuity In addition, it is
shown that the binding energies oi. the impurities and the excitons i
nside the silicon dots are greatly affected by alteration of the thick
ness of the oxides or the surrounding dielectric media.