Propagation of acoustic edge waves in graphene under quantum Hall effect

TL;DR

This paper studies how acoustic edge waves propagate along graphene edges under a magnetic field, revealing frequency-dependent blocking and potential for nonlinear effects like solitons due to electron-phonon interactions.

Contribution

It introduces the concept of magnetically influenced acoustic edge wave propagation in graphene and predicts nonlinear phenomena such as solitons arising from electron-phonon coupling.

Findings

Propagation blocked at certain resonant frequencies

Strong electron-acoustic interaction can lead to nonlinear effects

Potential formation of acoustic solitons in graphene edges

Abstract

We consider a graphene sheet with a zigzag edge subject to a perpendicular magnetic field and investigate the propagation of in-plane acoustic edge waves under the influence of magnetically induced electronic edge states. In particular is is shown that propagation is significantly blocked for certain frequencies defined by the resonant absorption due to electronic-acoustic interaction. We suggest that strong interaction between the acoustic and electronic edge states in graphene may generate significant non-linear effects leading to the existence of acoustic solitons in such systems.