Edge States in Strong Magnetic Field

TL;DR

This paper investigates the properties of edge states in a 2D electron gas under strong magnetic fields, revealing complex spectral structures and steplike Landau levels that influence magnetotransport channels.

Contribution

It introduces a finite step potential barrier model to analyze edge states, showing richer spectral structures and steplike Landau levels not seen in infinite barrier models.

Findings

Spectral structure is more complex than in infinite barrier models.

Landau levels exhibit steplike rather than smooth bending.

Plateaus affect the widths of magnetotransport channels.

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.