Propagating edge states in strained graphene

Grazia Salerno, Tomoki Ozawa, Hannah M. Price, Iacopo Carusotto

Published 2017-02-08Version 1

We investigate the helically-propagating edge states associated with pseudo-Landau levels in strained graphene. We derive a general criterion for the existence of these propagating edge states and we verify our criterion using numerical simulations of both uni-axially 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. Our result opens up an avenue toward the precise control of edge current through manipulation of the edge shape.