2011/06/09 by Thomas E. O’Brien, T. E. O'Brien, Chao Zhang +4
Engineering · Materials Science · Physics and Astronomy · #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #FOS: Physical sciences #Graphene and Nanomaterials Applications #Graphene research and applications #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.1106.1912
10 preprint pages, 3 figues
arxiv created 2011/06/09 · openalex publication_date 2011/06/09 · arxiv updated 2011/06/13 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
We demonstrate the topological properties of the band-gap of armchair graphene nanoribbons in a spatially varying staggered sublattice potential. Several general scaling laws are presented to quantify the band gap variation. It is found that all armchair nanoribbons are described by one of three distinct classes depending on their width, one of which is the well known massless Dirac condition, and the other two we call potentially gapless, and gapless-superlattice. We construct an effective theory which faithfully reproduces these results, and makes explicit the nature of the competing masses and overlap integrals across a particular sample. Finally we propose several systems on which these results should shed considerable light, and which have all already been experimentally realized.