▎ 摘 要
Standing waves near zigzag and armchair edges, and their Berry's phases, are investigated. It is suggested that the Berry's phase for the standing wave near the zigzag edge is trivial, while that near the armchair edge is nontrivial. A nontrivial Berry's phase implies the presence of a singularity in parameter space. We have confirmed that Dirac singularity is absent (present) in parameter space for the standing wave near the zigzag (armchair) edge. The absence of Dirac singularity has a direct consequence in the local density of states near the zigzag edge. The transport properties of graphene nanoribbons observed by recent numerical simulations and experiments are discussed from the point of view of Berry's phases for standing waves.