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.
@article{arxiv.0906.1634,
title = {M\"{o}bius Graphene Strip as Topological Insulator},
author = {Z. L. Guo and Z. R. Gong and H. Dong and C. P. Sun},
journal= {arXiv preprint arXiv:0906.1634},
year = {2010}
}