Edge states in Graphene: from gapped flat band to gapless chiral modes

2008/10/14 by Wang Yao, Shengyuan A. Yang, Qian Niu · 1 citation
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.mtrl-sci

paper · pdf · doi:10.1103/physrevlett.102.096801

published as Phys. Rev. Lett. 102, 096801 (2009).

arxiv created 2008/10/14 · arxiv updated 2009/12/01

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.

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