Topological charge pumping by sliding moiré pattern
arXiv:1910.04654 · doi:10.1103/PhysRevB.101.041112
Abstract
We study the adiabatic topological charge pumping driven by interlayer sliding in the moiré superlattices. We show that, when we slide a single layer of the twisted bilayer system relatively to the other, a moiré pattern flow and a quantized transport of electrons occurs. When the Fermi energy is in a spectral gap, the number of pumped charges in the interlayer sliding process is quantized to a sliding Chern number, which obeys a Diophantine equation analogous to the quantum Hall effect. We apply the argument to the twisted bilayer graphene, and find that energy gaps above and below the nearly-flat bands has non-zero sliding Chern numbers. When the Fermi energy is in either of those gaps, the slide-driven topological pumping occurs perpendicularly to the sliding direction.
6 pages, 3 figures
References in corpus (44)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Moire bands in twisted double-layer graphene
- Hofstadter's butterfly in moire superlattices: A fractal quantum Hall effect
- Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
- Graphene bilayer with a twist: electronic structure
- Moiré Excitons in Van der Waals Heterostructures
- Cloning of Dirac fermions in graphene superlattices
- Signatures of moiré-trapped valley excitons in MoSe/WSe heterobilayers
- 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
- Hubbard model physics in transition metal dichalcogenide moiré bands
- Localization of Dirac electrons by Moire patterns in graphene bilayers
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Topological Thouless Pumping of Ultracold Fermions
- An Adiabatic Quantum Electron Pump
- Continuum Model of the Twisted Bilayer
- Twistable electronics with dynamically rotatable heterostructures
- Lattice relaxation and energy band modulation in twisted bilayer graphenes
- Maximally-localized Wannier orbitals and the extended Hubbard model for the twisted bilayer graphene
- Optical Absorption in Twisted Bilayer Graphene
- Commensuration and Interlayer Coherence in Twisted Bilayer Graphene
- Electronic structure of turbostratic graphene
- Ultraflat bands and shear solitons in Moiré patterns of twisted bilayer transition metal dichalcogenides
- Superlattice-induced insulating states and valley-protected orbits in twisted bilayer graphene
- Numerical studies of confined states in rotated bilayers of graphene
- Generic Miniband Structure of Graphene on a Hexagonal Substrate
- Ab-Initio Theory of Moiré Superlattice Bands in Layered Two-Dimensional Materials
- Electronic properties of graphene hexagonal boron nitride moiré superlattice
- Single-parameter non-adiabatic quantized charge pumping
- Topological charge pumping in a one-dimensional optical lattice
- 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
- Geometrical pumping with a Bose-Einstein condensate
- Local sublattice-symmetry breaking in rotationally faulted multilayer graphene
- Topological insulator and particle pumping in a one-dimensional shaken optical lattice
- Quantum Transport of Bosonic Cold Atoms in Double Well Optical Lattices
- Heterostructure bilayer graphene-hBN: Interplay between misalignment, interlayer asymmetry, and trigonal warping
- Topological charge pumping in twisted bilayer graphene
- Topological Sliding Moiré Heterostructure
- Topological Properties of Ultracold Bosons in One-Dimensional Quasiperiodic Optical Lattice
- Anomalous charge pumping in a one-dimensional optical superlattice
Cited by in corpus (24)
- Two-dimensional Thouless pumping of light in photonic moiré lattices
- Tunable moiré materials for probing Berry physics and topology
- Topological charge pumping in twisted bilayer graphene
- Topological Sliding Moiré Heterostructure
- 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
- Moire Band Structures of the Double twisted Few Layer Graphene
- Mechanically-reconfigurable van der Waals devices via low-friction gold sliding
- Higher-order Bragg gaps in the electronic band structure of bilayer graphene renormalized by recursive supermoiré potential
- Doubled Moiré Flat Bands in Double-twisted Few Layer Graphite
- Electrons surf phason waves in moiré bilayers
- Topological gap labeling with the third Chern numbers in three-dimensional quasicrystals
- Topological Lasing from Thouless Pumping in Bilayer Photonic Crystal
- Topological Domain Walls in Graphene Nanoribbons with Carrier Doping
- Anomalous Electrodynamics and Quantum Geometry in the Dirac-Harper model for a Graphene Bilayer
- Quasiperiodic Quadrupole Insulators
- Gap labeling theorem for multilayer thin film heterostructures
- Charged moiré phonons in twisted bilayer graphene
- Electric backaction on moiré mechanics
- Adiabatic pumping driven by moving kink and quantum standard ampere in buckled graphene nanoribbon
- Topological invariant and domain connectivity in moiré materials
- Emergent exotic chirality dependent dielectricity in magnetic twisted bilayer system
- Adiabatic quantum pumping in buckled graphene nanoribbon driven by a kink