Photon-Assisted Process and High-Harmonic Dynamic Localization in Graphene Nanoribbons

TL;DR

This paper presents analytical methods to observe photon-assisted transport and dynamic localization in graphene nanoribbons under multi-frequency fields, revealing high-harmonic oscillations and potential nanoelectronic applications.

Contribution

It introduces the first analytical techniques for photon-assisted transport and dynamic localization in graphene nanoribbons, including the discovery of fractional photon-assisted transport.

Findings

Photon-assisted replicas appear at strong drive forces.

High-harmonic dynamic oscillations depend on ac amplitudes.

Regions of positive differential conductivity identified.

Abstract

We used a complete tight-binding band structure of graphene nanoribbon to obtain, for the first time, analytical techniques for observing photon assisted transport, and dynamic localization of electrons in the graphene nanoribbons. When the ribbons are subject to a multi-frequency dc-ac field, photon assisted replicas show up at rather strong drive force. The strong dependence of the photon peaks on ac amplitudes allow for high-harmonic dynamic oscillations at these amplitudes. We identified regions of positive differential conductivity where a nanoelectronic graphene device may be operated as a small signal amplifier. Our research has also reveal another quantum mechanical phenomenon, fractional photon assisted transport, when the stark factor $r > 1$.