Electron optics with dirac fermions: electron transport in monolayer and bilayer graphene through magnetic barrier and their superlattices

TL;DR

This review explores how magnetic barriers and superlattices in graphene influence electron transport, drawing analogies with optical phenomena, and discusses potential device applications and modifications in band structure.

Contribution

It provides a comprehensive overview of recent advances in understanding ballistic transport in graphene under magnetic barriers, including optical analogies and effects on band structure, with insights into experimental realization.

Findings

Observation of Fabry-Perot resonances in graphene

Negative refraction and beam collimation demonstrated

Emergence of additional Dirac points in band structure

Abstract

In this review article we discuss the recent progress in studying ballistic transport for charge carriers in graphene through highly inhomogenous magnetic field known as magnetic barrier in combination with gate voltage induced electrostatic potential. Starting with cases for a single or double magnetic barrier we also review the progress in understanding electron transport through the superlattices created out of such electromagnetic potential barriers and discuss the possibility of experimental realization of such systems. The emphasis is particularly on the analogy of such transport with propagation of light wave through medium with alternating dielectric constant. In that direction we discuss electron analogue of optical phenomena like fabry perot resonances, negative refraction, Goos-H\"anchen effect, beam collimation in such systems and explain how such analogy is going to be useful for device generation. The resulting modification of band structure of dirac fermions, the emergence of additional dirac points was also discussed accompanied by brief section on the interconvertibility of electric and magnetic field for relativistic dirac fermions. We also discuss the effect of such electromagnetic potential barrier on bilayer graphene in a similar framework.