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

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

2008-10-12

arxiv.org/abs/0810.2101v2

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

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevLett.102.096801

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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