Edge States in Graphene: From Gapped Flat-Band to Gapless Chiral Modes

Wang Yao, Shengyuan A. Yang, and Qian Niu
Phys. Rev. Lett. 102, 096801 – Published 2 March 2009

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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  • Received 16 October 2008

DOI:https://doi.org/10.1103/PhysRevLett.102.096801

©2009 American Physical Society

Authors & Affiliations

Wang Yao1,2, Shengyuan A. Yang1, and Qian Niu1

  • 1Department of Physics, The University of Texas, Austin, Texas 78712-0264, USA
  • 2Department of Physics, and Center of Theoretical and Computational Physics, The University of Hong Kong, Hong Kong

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Issue

Vol. 102, Iss. 9 — 6 March 2009

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