We propose a new type of edges, arising due to the anisotropy inherent in the puckered structure of a honeycomb system such as in phosphorene. Skewed-zigzag and skewed-armchair nanoribbons are semiconducting and metallic, respectively, in contrast to their normal edge counterparts. Their band structures are tunable, and a metal-insulator transition is induced by an electric field. We predict a field-effect transistor based on the edge states in skewed-armchair nanoribbons, where the edge state is gapped by applying arbitrary small electric field Ez. A topological argument is presented, revealing the condition for the emergence of such edge states.
@article{arxiv.1512.02030,
title = {Tunable skewed edges in puckered structures},
author = {Marko M. Grujić and Motohiko Ezawa and Milan Ž. Tadić and Françios M. Peeters},
journal= {arXiv preprint arXiv:1512.02030},
year = {2016}
}