2007/02/28 by Mahito Kohmoto, Yasumasa Hasegawa · 3 citations
Materials Science · Physics and Astronomy · #Graphene research and applications #Physics of Superconductivity and Magnetism #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.76.205402
published as Phys. Rev. B 76, 205402 (2007) · 6 pages 8 figures
arxiv created 2007/07/03 · openalex publication_date 2007/11/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The honeycomb lattice in the cylinder geometry with zigzag edges, bearded edges, zigzag and bearded edges (zigzag-bearded), and armchair edges are studied. The tight-binding model with nearest-neighbor hoppings is used. Edge states are obtained analytically for these edges except the armchair edges. It is shown, however, that edge states for the armchair edges exist when the system is anisotropic. These states have not been known previously. We also find strictly localized states, uniformly extended states, and states with macroscopic degeneracy.