Magnetic Edge States in Graphene

TL;DR

This paper investigates magnetic edge states in graphene induced by inhomogeneous magnetic fields, exploring their properties and potential for spintronics applications using a Dirac equation framework.

Contribution

It introduces a detailed analysis of magnetic edge states in graphene and reveals their relation through supersymmetric transformations.

Findings

Magnetic edge states can be generated in graphene using inhomogeneous magnetic fields.

Solutions for these states are related via supersymmetric transformations.

Potential applications in spintronics are discussed.

Abstract

Magnetic confinement in graphene has been of recent and growing interest because its potential applications in nanotechnology. In particular, the observation of the so called magnetic edge states in graphene has opened the possibility to deepen into the generation of spin currents and its applications in spintronics. We study the magnetic edge states of quasi-particles arising in graphene monolayers due to an inhomogeneous magnetic field of a magnetic barrier in the formalism of the two-dimensional massless Dirac equation. We also show how the solutions of such states in each of both triangular sublattices of the graphene are related through a supersymmetric transformation in the quantum mechanical sense.