Graphene antidot lattice waveguides

TL;DR

This paper introduces graphene antidot lattice waveguides, a novel nanostructure that guides electrons with robustness and minimal resistance, modeled analytically and confirmed with atomistic simulations.

Contribution

It presents a new type of graphene waveguide using antidot lattices, with analytical and tight-binding models demonstrating robust electron transport.

Findings

Electrons can be guided through kinks without resistance.

Transport is robust against structural disorder.

Analytical and tight-binding models agree well.

Abstract

We introduce graphene antidot lattice waveguides: nanostructured graphene where a region of pristine graphene is sandwiched between regions of graphene antidot lattices. The band gap in the surrounding antidot lattices enable localized states to emerge in the central waveguide region. We model the waveguides via a position-dependent mass term in the Dirac approximation of graphene, and arrive at analytical results for the dispersion relation and spinor eigenstates of the localized waveguide modes. To include atomistic details we also use a tight-binding model, which is in excellent agreement with the analytical results. The waveguides resemble graphene nanoribbons, but without the particular properties of ribbons that emerge due to the details of the edge. We show that electrons can be guided through kinks without additional resistance and that transport through the waveguides is robust against structural disorder.