Edge states in Graphene: from gapped flat band to gapless chiral modes
Mesoscale and Nanoscale Physics
2009-03-11 v2 Materials Science
Abstract
We study edge-states in graphene systems where a bulk energy gap is opened by inversion symmetry breaking. We find that the edge-bands dispersion can be controlled by potentials applied on the boundary with unit cell length scale. Under certain boundary potentials, gapless edge-states with valley-dependent velocity are found, exactly analogous to the spin-dependent gapless chiral edge-states in quantum spin Hall systems. The connection of the edge-states to bulk topological properties is revealed.
Keywords
Cite
@article{arxiv.0810.2101,
title = {Edge states in Graphene: from gapped flat band to gapless chiral modes},
author = {Wang Yao and Shengyuan A. Yang and Qian Niu},
journal= {arXiv preprint arXiv:0810.2101},
year = {2009}
}