Zero Modes on Zero-Angle Grain Boundaries in Graphene
arXiv:1410.4433 · doi:10.1103/PhysRevB.91.125404
Abstract
Electronic states confined to zero angle grain boundaries in single layer graphene are analyzed using topological band theoretic arguments. We identify a hidden chiral symmetry which supports symmetry protected zero modes in projected bulk gaps. These branches occupy a finite fraction of the interface-projected Brillouin zone and terminate at bulk gap closures, manifesting topological transitions in the occupied manifolds of the bulk systems that are joined at an interface. These features are studied by numerical calculations on a tight binding lattice and by analysis of the geometric phases of the bulk ground states.
5 pages, 4 jpeg figures
References in corpus (14)
- 30 inch Roll-Based Production of High-Quality Graphene Films for Flexible Transparent Electrodes
- Classification of topological insulators and superconductors in three spatial dimensions
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Imaging Grains and Grain Boundaries in Single-Layer Graphene: An Atomic Patchwork Quilt
- Electronic transport in polycrystalline graphene
- Topological Defects in Graphene: Dislocations and Grain Boundaries
- Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems
- The Zak phase and the existence of edge states in graphene
- Graphene valley filter using a line defect
- Zero modes and the edge states of the honeycomb lattice
- A controllable valley polarization in Graphene
- Electronic States of Graphene Grain Boundaries
- Scattering by linear defects in graphene: a continuum approach
- Scattering by linear defects in graphene: a tight-binding approach
Cited by in corpus (8)
- Unified bulk-boundary correspondence for band insulators
- Lateral Interfaces of Transition Metal Dichalcogenides: A Stable Tunable One-Dimensional Physics Platform
- Valley filtering effect of phonons in graphene with a grain boundary
- Probing local moments in nanographenes with electron tunneling spectroscopy
- Charge and spin transport on graphene grain boundaries in a quantizing magnetic field
- Resonant tunneling in disordered borophene nanoribbons with line defects
- Flat Energy Bands within Antiphase and Twin Boundaries and at Open Edges in Topological Materials
- Domain walls in strontium titanate