Impurity states of electrons in quantum dots in external magnetic fields

TL;DR

This paper investigates how isolated impurity atoms affect the electron energy spectrum in quantum dots under magnetic fields, revealing local energy levels and wave functions through exact solutions.

Contribution

It introduces an exact solution method for impurity effects in quantum dots using a Gaussian separable potential approximation.

Findings

Identification of local energy levels split from Landau zones

Calculation of electron wave functions in impurity-bound states

Determination of scattering amplitude residues at impurity poles

Abstract

The influence of isolated impurity atoms on the electron energy spectrum in a parabolic quantum dot in quantizing magnetic field is studied. The impurity potential is approximated by a Gaussian separable operator which allows one to obtain the exact solution of the problem. We demonstrate that in the electron energy spectrum there is a set of local levels which are split from the Landau zone boundaries in the upward or downward direction depending on the impurity type. We have calculated the local level positions, the wave functions of electrons in bound states, and the residues of the electron scattering amplitudes by impurity atoms at the poles.