Moiré edge states in twisted bilayer graphene and their topological relation to quantum pumping
arXiv:2012.02537 · doi:10.1103/PhysRevB.103.155410
Abstract
We study the edge states of twisted bilayer graphene and their topological origin. We show that the twisted bilayer graphene has special edge states associated with the moiré pattern, and the emergence of these moiré edge states is linked with the sliding Chern number, which describes topological charge pumping caused by relative interlayer sliding. When one layer of the twisted bilayer is relatively slid with respect to the other layer, the edge states are transferred from a single band to another across the band gap, and the number of the edge states pumped in a sliding cycle is shown to be equal to the sliding Chern number of the band gap. The relationship can be viewed as a manifestation of the bulk-edge correspondence inherent in moiré bilayer systems.
7 pages, 5 figures
References in corpus (18)
- Topological Photonics
- Topological Field Theory of Time-Reversal Invariant Insulators
- Observation of Moiré Excitons in WSe2/WS2 Heterostructure Superlattices
- Flat Bands in Slightly Twisted Bilayer Graphene
- Resonantly hybridised excitons in moiré superlattices in van der Waals heterostructures
- Continuum Model of the Twisted Bilayer
- Lattice relaxation and energy band modulation in twisted bilayer graphenes
- Superlattice-induced insulating states and valley-protected orbits in twisted bilayer graphene
- Numerical studies of confined states in rotated bilayers of graphene
- Electronic properties of graphene hexagonal boron nitride moiré superlattice
- Zero Energy Modes and Gate-Tunable Gap in Graphene on hexagonal Boron Nitride
- Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices
- Interlayer interaction in general incommensurate atomic layers
- Structure of twisted and buckled bilayer graphene
- Topological charge pumping in twisted bilayer graphene
- Topological charge pumping by sliding moiré pattern
- Topological Sliding Moiré Heterostructure
- Electronic conductance of twisted bilayer nanoribbon flakes
Cited by in corpus (15)
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- 3/2 magic-angle quantization rule of flat bands in twisted bilayer graphene and relationship with the Quantum Hall effect
- Why the first magic-angle is different from others in twisted graphene bilayers: interlayer currents, kinetic and confinement energy and wavefunction localization
- Topological charge pumping in quasiperiodic systems characterized by Bott index
- A primer on twistronics: A massless Dirac fermion's journey to moiré patterns and flat bands in twisted bilayer graphene
- Transport and spectral properties of magic angle twisted bilayer graphene junctions based on local orbital models
- Direct observation of moiré flat-band breakdown at the edge of magic-angle twisted bilayer graphene
- Topological gap labeling with the third Chern numbers in three-dimensional quasicrystals
- Atomistic theory of moiré Hofstadter's butterfly in magic-angle graphene
- Absence of Edge States in The Valley Chern Insulator in Moiré Graphene
- Quantum valley Hall states in low-buckled counterparts of graphene bilayer
- Lattice Model For The Quantum Anomalous Hall Effect in Moiré Graphene
- Sliding-induced topological transitions in bilayer biphenylene
- Topological phase diagram of twisted bilayer graphene as a function of the twist angle
- Electric backaction on moiré mechanics