Edge states in a magnetic quantum dot

Abstract

We have considered two dimensional electrons further confined in an inhomogeneous magnetic field which is B=0 for r<r0 and B≠0 elsewhere. We have noticed, through the exact evaluation of the single particle energy spectra, the existence of current-carrying edge states near the dot boundary circulating either clockwise or counterclockwise. These magnetic edge states are shown to have quite different properties from those originated from electrostatic confinements.