Figure 2: Schematics of the system configurations and numerically calculated bulk and edge spectra.

(a) Configuration-I: A 2DEG is in contact with vacuum under a uniform magnetic field along the positive z direction. (b) Configuration-II: A 2DEG is uniformly filled in the whole space but two opposite magnetic fields are applied along the positive and negative z direction. The edge state profiles of density and current components are shown as well. For Configuration-II, the two edge states have opposite symmetries. (c) The spectra corresponding to Configuration-I. (d) The spectra corresponding to Configuration-II. The negative-frequency part reflects the redundant degrees of freedom of the real-valued classical field and so is shaded.