Topological gap states of semiconducting armchair graphene ribbons

Y. H. Jeong, S. C. Kim, S. R.Eric Yang

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)


In semiconducting armchair graphene ribbons a tensile strain can induce pairs of topological gap states with opposite energies. Near the critical value of the deformation potential these kink and antikink states become almost degenerate with zero energy and have a fractional charge of one-half. Such a semiconducting armchair ribbon represents a one-dimensional topological insulator with nearly zero energy end states. Using data collapse of numerical results we find that the shape of the kink displays an anomalous power-law dependence on the width of the local lattice deformation. We suggest that these gap states may be probed in optical measurements. However, "metallic" armchair graphene ribbons with a gap induced by many-electron interactions have no gap states and are not topological insulators.

Original languageEnglish
Article number205441
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number20
Publication statusPublished - 2015 May 28

Bibliographical note

Publisher Copyright:
© 2015 American Physical Society.

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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