The effects of external magnetic field on the surface charge distribution of spherical nanoparticles

Abstract

The finite element method has been implemented in order to investigate the electronic structure of spherical quantum dots (QDs) in an external magnetic field. The Schrödinger equation has been discretized by means of the Galerkin's weighted residue method with a nonuniform mesh of triangular elements. Unlike other approaches, the computational effort required to obtain converged results is independent of the strength of the magnetic field. The effects of the diamagnetic term on the energy levels and surface charge density distribution for semiconductor metal oxide QDs in alkaline aqueous colloids have been discussed.