Propagating edge states in strained honeycomb lattices

Year: 2017

Authors: Salerno G., Ozawa T., Price HM., Carusotto I.

Autors Affiliation: Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy.

Abstract: We investigate the helically propagating edge states associated with pseudo-Landau levels in strained honeycomb lattices. We exploit chiral symmetry to derive a general criterion for the existence of these propagating edge states in the presence of only nearest-neighbor hoppings and we verify our criterion using numerical simulations of both uniaxially and trigonally strained honeycomb lattices. We show that the propagation of the helical edge state can be controlled by engineering the shape of the edges. Sensitivity to chiral-symmetry-breaking next-nearest-neighbor hoppings is assessed. Our result opens up an avenue toward the precise control of edge modes through manipulation of the edge shape.

Journal/Review: PHYSICAL REVIEW B

Volume: 95 (24)      Pages from: 245418-1  to: 245418-12

More Information: We are grateful to M. Bellec and F. Mortessagne for useful discussions. We also thank S. Ryu and S. Gopalakrishnan for helpful exchanges on their paper. This work was funded by the EU-FET Proactive grant AQuS, Project No. 640800, and by the Autonomous Province of Trento, partially through the Project SiQuro. H.M.P. was also supported by the European Commission through the H2020 Marie Sklodowska-Curie Action, Individual Fellowship Grant No. 656093 SynOptic.
KeyWords: Electronic-properties; Graphene; Fields
DOI: 10.1103/PhysRevB.95.245418

Citations: 21
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