Robust one-dimensional wires in lattice mismatched bilayer graphene
arXiv:1106.1911 · doi:10.1063/1.3601851
Abstract
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.
8 preprint pages, 3 figures
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- Stacking boundaries and transport in bilayer graphene
- Theory and Experimental Investigation of the Quantum Valley Hall Effect
- Graphene under spatially varying external potentials: Landau levels, magnetotransport, and topological modes
- Energetics and Structure of Domain Wall Networks in Minimally Twisted Bilayer Graphene under Strain
- Two phases with different domain wall networks and a reentrant phase transition in bilayer graphene under strain
- Conductance enhancement due to atomic potential fluctuations in graphene
- Tunable moire spinons in magnetically encapsulated twisted van der Waals quantum spin-liquids