Robust one-dimensional wires in lattice mismatched bilayer graphene

Details Robust one-dimensional wires in lattice mismatched bilayer graphene Robust one-dimensional wires in lattice mismatched bilayer graphene

2011-06-09

arxiv.org/abs/1106.1911v1

App. Phys. Lett. 98, 251902 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 preprint pages, 3 figures

Scientific paper

We show that lattice mismatched bilayer graphene can realize robust one-dimensional wires. By considering a single domain wall where the masses of the Dirac electrons change their sign, we establish a general projection principle. This determines how the existence of topological zero-energy domain wall states depends on the direction of the domain wall and locations of the massive Dirac cones inside the bulk Brillouin zone. We generalize this idea for arbitrary patterns of domain walls, showing that the topologically protected states exist only in the presence of an odd number of topological domain walls.

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