Discrete solitons in graphene metamaterials

TL;DR

This paper explores nonlinear localized modes, including stable discrete plasmon solitons and surface states, in multilayer graphene-based metamaterials modeled by the discrete nonlinear Schrödinger equation.

Contribution

It introduces the existence of stable discrete plasmon solitons and nonlinear surface modes in graphene metamaterials, expanding understanding of their nonlinear optical properties.

Findings

Support for localized nonlinear modes in graphene multilayers

Identification of stable discrete plasmon solitons

Analysis of nonlinear surface modes as analogs of Tamm states

Abstract

We study nonlinear properties of multilayer metamaterials created by graphene sheets separated by dielectric layers. We demonstrate that such structures can support localized nonlinear modes described by the discrete nonlinear Schr\"{o}dinger equation and that its solutions are associated with stable discrete plasmon solitons. We also analyze the nonlinear surface modes in truncated graphene metamaterials being a nonlinear analog of surface Tamm states.