Three-dimensional model for interdiffused quantum dots

We report the study of the interdiffusion effect of quantum-dot (QD) heterostructures, focusing on the theoretical calculation of the electronic structure of interdiffused QDs. A computational model has been developed for QD superlattice system using Hamiltonian in reciprocal space domain to analyze the interdiffusion effect on electronic structure. The interdiffusion effects of QDs with various geometries having the same volume and the same lattice constant have been studied. In general, the interdiffusion effect in QDs is significantly pronounced since it occurs in three dimensions. Comparing the interdiffusion effect for the various shapes of QDs, it was found that the spherical QD has the lowest ground state and produces the largest blue-shift during the interdiffusion or intermixing process.