Impurity binding energies in quantum dots with parabolic confinement

•We consider hydrogen-like impurity states in quantum dot with parabolic confinement.•New approach to calculation of impurity binding energy is developed.•Electron wave function is determined as expansion over 1D harmonic oscillator states.•Binding energy as function of the impurity position and magnetic field strength are presented and discussed.

We present an effective numerical procedure to calculate the binding energies and wave functions of the hydrogen-like impurity states in a quantum dot (QD) with parabolic confinement. The unknown wave function was expressed as an expansion over one-dimensional harmonic oscillator states, which describes the electron's movement along the defined z-axis. Green's function technique used to obtain the solution of Schredinger equation for electronic states in a transverse plane. Binding energy of impurity states is defined as poles of the wave function. The dependences of the binding energy on the position of an impurity, the size of the QD and the magnetic field strength are presented and discussed.

Graphical abstractWe present an effective numerical procedure to calculate the binding energies and wave functions of the hydrogen-like impurity states in a quantum dot with parabolic confinement in the presence of magnetic field.Figure optionsDownload full-size imageDownload as PowerPoint slide