Persistence of Edge-State in Stacked Graphene and Nano-Graphene Materials

TL;DR

This paper theoretically demonstrates that edge states at the Dirac point persist in stacked nanographene materials with zigzag edges, regardless of stacking type or inter-layer interactions, including infinite width limits.

Contribution

It provides a theoretical proof of the persistence of edge states in stacked nanographene with inter-layer interactions for various stacking configurations.

Findings

Edge states exist at the Dirac point in doubly stacked nanographene.

Edge states persist in infinitely-wide lower layers.

The property holds for both A-B and A-C stacking arrangements.

Abstract

Nano-carbon materials are investigated intensively. In this paper, the edge-state in nanographene materials with zigzag edges is studied theoretically. In particular, while the inter-layer interactions are considered, we prove that edge states exist at the energy of the Dirac point in the doubly stacked nanographene, and in the case of the infinitely-wide lower layer case. This property applies both for the A-B and A-C stackings.