Topological Sliding Moiré Heterostructure
arXiv:1910.09063 · doi:10.1103/PhysRevB.101.041113
Abstract
We investigate the effect of sliding motion of layers in Moiré heterostructures on the electronic state. We show that the sliding Moiré heterostructure can generate nontrivial topology characterized by the first and second Chern number in the high dimensional manifold spanned by the physical dimensions and synthetic dimensions associated with the sliding displacement. The nontrivial topology implies a topological charge pumping caused by the sliding motion. We demonstrate the nontrivial topology and charge pumping explicitly in a one dimensional bi-chain model and the small-angle twisted bilayer graphene. Contrary to the conventional belief that the interlayer sliding in incommensurate Moiré Heterostructures does not affect the electronic structure, our results reveal that the sliding motion can generate nontrivial topology dynamically and hence cannot be neglected in the dynamical process.
5.2 pages and 4 figures
References in corpus (33)
- Van der Waals heterostructures
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Berry Phase Effects on Electronic Properties
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Moire bands in twisted double-layer graphene
- Tuning superconductivity in twisted bilayer graphene
- Hofstadter's butterfly in moire superlattices: A fractal quantum Hall effect
- Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
- Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
- Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
- Graphene bilayer with a twist: electronic structure
- Cloning of Dirac fermions in graphene superlattices
- Topological quantization of the spin Hall effect in two-dimensional paramagnetic semiconductors
- Electric Field Tunable Correlated States and Magnetic Phase Transitions in Twisted Bilayer-Bilayer Graphene
- Signatures of Gate-Tunable Superconductivity in Trilayer Graphene/Boron Nitride Moiré Superlattice
- Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
- Continuum Model of the Twisted Bilayer
- Twistable electronics with dynamically rotatable heterostructures
- Evidence of Gate-Tunable Mott Insulator in Trilayer Graphene-Boron Nitride Moiré Superlattice
- Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene
- Maximally-localized Wannier orbitals and the extended Hubbard model for the twisted bilayer graphene
- A Four Dimensional Generalization of the Quantum Hall Effect
- Photonic topological pumping through the edges of a dynamical four-dimensional quantum Hall system
- Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
- Nearly Flat Chern Bands in Moiré Superlattices
- Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal
- Four-Dimensional Quantum Hall Effect with Ultracold Atoms
- The 6D quantum Hall effect and 3D topological pumps
- Observation of drastic electronic structure change in one-dimensional moiré crystals
- Topological charge pumping in twisted bilayer graphene
- Topological charge pumping by sliding moiré pattern
- Dimension transcendence and anomalous charge transport in magnets with moving multiple- spin textures
- Nontrivial topology and localization in the double exchange model with possible applications to perovskite manganites
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- Current-induced reversal of anomalous Hall conductance in twisted bilayer graphene
- Fractal energy gaps and topological invariants in hBN/Graphene/hBN double moiré systems
- Moiré edge states in twisted bilayer graphene and their topological relation to quantum pumping
- Mechanically-reconfigurable van der Waals devices via low-friction gold sliding
- Electrons surf phason waves in moiré bilayers
- A semiclassical treatment of spinor topological effects in driven, inhomogeneous insulators under external electromagnetic fields
- Topological gap labeling with the third Chern numbers in three-dimensional quasicrystals
- Topological Domain Walls in Graphene Nanoribbons with Carrier Doping
- Topological Lasing from Thouless Pumping in Bilayer Photonic Crystal
- Gap labeling theorem for multilayer thin film heterostructures
- Electric backaction on moiré mechanics
- Charged moiré phonons in twisted bilayer graphene