Magnetic interface states in graphene-based quantum wires

TL;DR

This paper investigates the electronic states in graphene quantum wires under magnetic fields and electrostatic confinement, revealing interface and edge states, with detailed spectra and density of states analysis.

Contribution

It introduces a detailed analysis of interface and edge states in graphene quantum wires with magnetic fields and electrostatic confinement, expanding understanding of their electronic spectra.

Findings

Confinement shifts Landau levels inside the well.

Interface states are created at the barriers.

Density of states depends on confinement potential.

Abstract

The electronic states of a finite-width graphene sheet in the presence of an electrostatic confining potential and a perpendicular magnetic field are investigated. The confining potential shifts the Landau levels inside the well and creates current-carrying states at or close to the interface with the barriers in addition to the edge states caused by the finite width of the sheet. Detailed energy spectra are given as a function of the quantum wire parameters. The dependence of the density of states on the confinement potential is evaluated for finite and zero magnetic field.