Edge States in Strong Magnetic Field

Abstract

Energies and wave functions of edge states in twodimensional electron gas are evaluated for a finite step potential barrier model. The spectrum exhibits richer structure than observed previously for an infinite barrier model. Surprisingly, instead of smooth Landau level bending in the vicinity of the barrier, the levels acquire a steplike form. These plateaus have a direct impact on widths of the magnetotransport conducting channels.

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