Effect of Electric and Magnetic Field on Electron Energy Spectrum in Core-Shell Quantum Dot

Abstract

The electron energy spectrum in inverted core-shell quantum dot driven by magnetic and electric fields is studied. The parallel electric and magnetic fields are considered. The Schodinger equation is solved using the method of expansion of the electron wave function on the basis of wave functions in the nanostructure without the external fields. The formation of the electron ground state under the influence of the electric and magnetic field is researched. It is shown that this state is successively formed by the states with $\mathrm{m}\leq 0$ (Aharonov-Bohm effect) when the magnetic field induction increases. This effect vanishes when the electric field intensity increases. The electron ground state is characterized only by quantum number $\mathrm{m}=0$ in the whole range of magnetic field induction when the electric field intensity is bigger than certain critical magnitude. The peculiarities of the formation of electron energy spectrum due to the electric and magnetic field should be displayed on the selection rules and the energies of quantum transitions and, thus, on the optical properties of nanostructure.