M\"{o}bius Graphene Strip as Topological Insulator

TL;DR

This paper investigates the unique topological insulator properties of a Möbius graphene strip with zigzag edges, highlighting its edge states, non-Abelian gauge fields, and potential experimental detection methods.

Contribution

It demonstrates that Möbius graphene strips act as topological insulators with distinctive edge states and predicts observable interference effects in experiments.

Findings

Möbius graphene strip exhibits topological insulator behavior.

Edge states are robust under certain perturbations.

Destructive interference can reveal topological properties.

Abstract

We study the electronic properties of M\"{o}bius graphene strip with a zigzag edge. We show that such graphene strip behaves as a topological insulator with a gapped bulk and a robust metallic surface, which enjoys some features due to its nontrivial topology of the spatial configuration, such as the existence of edge states and the non-Abelian induced gauge field. We predict that the topological properties of the M\"{o}bius graphene strip can be experimentally displayed by the destructive interference in the transmission spectrum, and the robustness of edge states under certain perturbations.