Dielectric Mismatch at Finite Barrier Cubic Quantum Dots

Size-dependent bandgap and particle size distribution of colloidal semiconductor nanocrystals

“…By assuming infinitely high confining potentials, the dielectric mismatch corrections on excitonic energies in spherical nanocrystals almost cancel each other out and are greatly reduced (in this situation, the contributions from ( ⃗⃗⃗ ) ( ⃗⃗⃗⃗ ) and ( ⃗⃗⃗ ⃗⃗⃗⃗ ) to the potential energy of the electron-hole system have close absolute values and opposite signs). To the best of our knowledge, the combined effect of finite potential barriers and dielectric mismatch on electronic and optical properties of semiconductor nanocrystals has been investigated only in a few works [23][24][25] . In a very recent publication 25 , the dielectric correction for cubic geometry and the eigenstates of the corresponding finite square well were computed for CdTe nanocrystals considering different values of dielectric mismatches and barrier heights.…”

“…To the best of our knowledge, the combined effect of finite potential barriers and dielectric mismatch on electronic and optical properties of semiconductor nanocrystals has been investigated only in a few works [23][24][25] . In a very recent publication 25 , the dielectric correction for cubic geometry and the eigenstates of the corresponding finite square well were computed for CdTe nanocrystals considering different values of dielectric mismatches and barrier heights. In the present work, in order to account for both dielectric corrections and finite confining potentials in spherically symmetric nanosystems, the electron and hole self-energies and the mutual polarization term from Brus polarization potential [Eq.…”

Effects of Dielectric Screening Function and Image Charges on Hydrogenic Donor Binding Energy in a Surface Quantum Well

“…15 Exciton states in the cubic quantum dots with finite potential barrier in the presence of dielectric mismatch have been studied by Boichuk et al 16 The role of effective mass and dielectric mismatch on chemical potentials and addition energies of many-electron multi-shell quantum dots have been studied by Royo et al 17 Sukumar and Navaneethakrishnan studied the effect of dielectric function and pressure on the binding energies of excitons in GaAs and GaAs/Ga 1-x Al x As superlattices, whereas Deng et al calculated the binding energies of shallow donors and acceptors in a spherical GaAs/Ga 1-x Al x As quantum dot including the spatial variation of dielectric screening. 18,19 In addition, Kilicarslan et al have shown that for Si, there is an obvious increase in the binding energy for spatially dependent screening compared with that for constant screening in the range of considered well widths, whereas the spatially dependent screening effect is small for Ge and GaAs materials.…”