Magnetic edge states of impenetrable stripe

TL;DR

This paper investigates the behavior of electrons near an impenetrable stripe in a strong magnetic field, calculating the energy spectrum and comparing it to that of a round antidot using singular integral equations.

Contribution

It introduces a novel analysis of magnetic edge states around an impenetrable stripe and compares these states with those of a round antidot.

Findings

Energy spectrum of electrons near the stripe calculated

Comparison with round antidot spectrum provided

Singular integral equation technique applied

Abstract

The electron motion in a strong perpendicular magnetic field close to the impenetrable stripe is considered by making use of the singular integral equation technique. The energy spectrum is calculated and compared with the energy spectrum of the round antidot.