Electron energy spectrum in a spherical quantum dot with smooth confinement

摘要

The electron energy spectrum in a quantum dot (QD) with smoothuddependences of the quasiparticle potential energy and the effective mass at the interfaceudbetween semiconductor media is calculated in the effective mass approximation. It isudshown that the electron energy corrections due to the tailing of the interface areudnonmonotonous functions of the QD radius, the increasing of which brings to the rapidudincreasing of shifts, reaching their maxima, and slowly decreasing for the QDs of bigudsizes. The calculations prove that the relative corrections for the different electron energyudlevels in a spherical QD are placed closer to each other with increase in the radius. Theudgrowth of the parameter of interface tailing leads to the proportional increase in theudcorrections to electron energy spectra. Numerical calculations are performed forudHgS/CdS and GaAs/AlxGa₁₋xAs QDs, all dependences being qualitatively similar.