Quasi-bound states of Schrodinger and Dirac electrons in magnetic quantum dot

TL;DR

This paper investigates the behavior of 2D electrons, both Schrödinger and Dirac types, in a magnetic quantum dot, revealing that electrons cannot be confined but quasi-bound states with long lifetimes can form near Landau levels.

Contribution

It provides a comparative analysis of Schrödinger and Dirac electrons in magnetic quantum dots, highlighting the existence of quasi-bound states despite the lack of confinement.

Findings

Electrons cannot be confined in the magnetic quantum dot.

Quasi-bound states exist near Landau levels.

These states have a relatively long lifetime.

Abstract

The properties of a two-dimensional electron are investigated in the presence of a circular step magnetic field profile. Both electrons with parabolic dispersion as well as Dirac electrons with linear dispersion are studied. We found that in such a magnetic quantum dot no electrons can be confined. Nevertheless close to the Landau levels quasi-bound states can exist with a rather long life time.