Stacking Textures and Singularities in Bilayer Graphene

Abstract

We study a family of globally smooth spatially varying two dimensional stacking textures in bilayer graphene. We find that the strain-minimizing stacking patterns connecting inequivalent ground states with local $AB$ and $BA$ interlayer registries are two dimensional twisted textures of an interlayer displacement field. We construct and display these topological stacking textures for bilayer graphene, examine their interactions and develop the composition rules that allow us to represent other more complex stacking textures, including globally twisted graphenes and extended one dimensional domain walls.

4 pages, 4 color figures

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Cited by in corpus (9)

• On the superconductivity of graphite interfaces
• Aperiodic topological order in the domain configurations of functional materials
• Topological carbon materials: a new perspective
• Moiré-pattern fluctuations and electron-phason coupling in twisted bilayer graphene
• Energy minimization of 2D incommensurate heterostructures
• Moiré phonons and impact of electronic symmetry breaking in twisted trilayer graphene
• Granular superconductivity below 5~K in SPI-II pyrolytic graphite
• Dislocation and node states in bilayer graphene systems
• Effects of domain walls in bilayer graphene in an external magnetic field