Abstract
We study the electronic properties of the M\"obius graphene strip with a zigzag edge. We show that such a 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\"obius graphene strip can be experimentally displayed by the destructive interference in the transmission spectrum, and the robustness of edge states under certain perturbations.
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