Topological Bloch Bands in Graphene Superlattices

Abstract

We outline an approach to endow a plain vanilla material with topological properties by creating topological bands in stacks of manifestly nontopological atomically thin materials. The approach is illustrated with a model system comprised of graphene stacked atop hexagonal-boron-nitride. In this case, the Berry curvature of the electron Bloch bands is highly sensitive to the stacking configuration. As a result, electron topology can be controlled by crystal axes alignment, granting a practical route to designer topological materials. Berry curvature manifests itself in transport via the valley Hall effect and long-range chargeless valley currents. The non-local electrical response mediated by such currents provides diagnostics for band topology.

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Cited by in corpus (79)

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• Topological insulators in twisted transition metal dichalcogenide homobilayers
• Nearly Flat Chern Bands in Moiré Superlattices
• Magic in twisted transition metal dichalcogenide bilayers
• Electrical switching of magnetic order in an orbital Chern insulator
• Topological mosaic in Moiré superlattices of van der Waals heterobilayers
• Imaging orbital ferromagnetism in a moiré Chern insulator
• Gate-Tunable Topological Flat Bands in Trilayer Graphene-Boron Nitride Moiré Superlattices
• Berry curvature dipole senses topological transition in a moiré superlattice
• Resolving spin, valley, and moiré quasi-angular momentum of interlayer excitons in WSe2/WS2 heterostructures
• Imaging Chern mosaic and Berry-curvature magnetism in magic-angle graphene
• Helical Network Model for Twisted Bilayer Graphene
• Electron quantum metamaterials in van der Waals heterostructures
• Linear Scaling Quantum Transport Methodologies
• Shedding Light on Moire Excitons: A First-Principles Perspective
• Tunable and giant valley-selective Hall effect in gapped bilayer graphene
• Tunable large Berry dipole in strained twisted bilayer graphene
• Superlattices based on van der Waals 2D materials
• Intrinsic nonlinear Hall effect and gate-switchable Berry curvature sliding in twisted bilayer graphene
• Tunable moiré materials for probing Berry physics and topology
• Valley-Polarized Quantum Transport Generated by Gauge Fields in Graphene
• Evidence of orbital ferromagnetism in twisted bilayer graphene aligned to hexagonal boron nitride
• Gate tunable topological flat bands in twisted monolayer-bilayer graphene
• Origin of nonlocal resistance in multiterminal graphene on hexagonal-boron-nitride: Fermi surface edge currents rather than Fermi sea topological valley currents
• Magnus Nernst and thermal Hall effect
• Spin-valley density wave in moiré materials
• Parent Berry curvature and the ideal anomalous Hall crystal
• Topological Flat Bands and Correlated States in Twisted Monolayer-Bilayer Graphene
• Gate-tunable flat bands in van der Waals patterned dielectric superlattices
• Magnetic Proximity Effect in a van der Waals Moiré Superlattice
• Intrinsic Hall conductivities induced by the orbital magnetic moment
• Emergence of Tertiary Dirac Points in Graphene Moiré Superlattices
• Bulk valley transport and Berry curvature spreading at the edge of flat bands
• Valley Hall Effect and Non-Local Resistance in Locally Gapped Graphene
• Emergence and stability of spin-valley entangled quantum liquids in moiré heterostructures
• Excitonic Laughlin States in Ideal Topological Insulator Flat Bands and Possible Presence in Moiré Superlattice Materials
• Electronic properties of twisted bilayer graphene suspended and encapsulated with hexagonal boron nitride
• Topological flat bands without magic angles in massive twisted bilayer graphenes
• Strain-induced large injection current in twisted bilayer graphene
• Observation of Time-Reversal Invariant Helical Edge-Modes in Bilayer Graphene/WSe${}_2$ Heterostructure
• Non-identical moiré twins in bilayer graphene
• Localization physics in graphene Moire superlattices
• Designing topology and fractionalization in narrow gap semiconductor films via electrostatic engineering
• Higher-order Bragg gaps in the electronic band structure of bilayer graphene renormalized by recursive supermoiré potential
• Valley current generation using biased bilayer graphene dots
• Tunable valley Hall effect in gate-defined graphene superlattices
• Topological valley currents via ballistic edge modes in graphene superlattices near the primary Dirac point
• Atomic configuration controlled photocurrent in van der Waals homostructures
• Dynamical signature of moire pattern in non-Hermitian ladder
• Optical control of topological memory based on orbital magnetization
• Substrate-induced topological minibands in graphene
• Anyonic Topological Order in Twisted Equivariant Differential (TED) K-Theory
• Electronic structure of graphene-nanoribbons on hexagonal boron nitride
• Efficient prediction of superlattice and anomalous miniband topology from quantum geometry
• First-Principles Calculation of the Optical Rotatory Power of Periodic Systems: Modern Theory with Modern Functionals
• In-plane Chiral Tunneling and Out-of-plane Valley-polarized Quantum Tunneling in Twisted Graphene Trilayer
• Theory of ARPES in Graphene-Based Moiré Superlattices
• A 50/50 electronic beam splitter in graphene nanoribbons as a building block for electron optics
• Non-adiabatic Hall effect at Berry curvature hot spot
• Time Evolution of Electron Waves in Graphene Superlattices
• Quantum-phase two-dimensional materials
• Designing Band Structures by Patterned Dielectric Superlattices
• Unveiling the Miniband Structure of Graphene Moiré Superlattices via Gate-dependent Terahertz Photocurrent Spectroscopy
• Quantum geometric moment encodes stacking order of moiré matter
• Insulators at Fractional Fillings in Twisted Bilayer Graphene Partially Aligned to Hexagonal Boron Nitride
• Chiral Stoner magnetism in Dirac bands
• Localization transitions and mobility edges in quasiperiodic ladder
• Moiré pattern of spin liquid and Neel magnet in a Kitaev chain
• Generation and control of non-local chiral currents in graphene superlattices by orbital Hall effect
• Multiple Parameter Dynamic Photoresponse Microscopy for data-intensive optoelectronic measurements of van der Waals heterostructures
• Dynamic Moiré-like pattern in non-Hermitian Wannier-Stark ladder system
• Electric field tunable bands in doubly aligned bilayer graphene hBN moire superlattice
• Band Structure and Topological Properties of Graphene in a Superlattice Spin Exchange Field
• Berry curvature induced valley Hall effect in non-encapsulated hBN/Bilayer graphene heterostructure aligned with near-zero twist angle
• Magnetic Bloch bands and Weiss oscillations in Dirac mass superlattices
• Efficient prediction of topological superlattice bands with spin-orbit coupling
• The Effect of Twisting Angle on the Electronic Properties and Electron Transport and Hall Effect in the Twisted Circular and Rectangular Graphene and Graphene/Boron-Nitride Channels
• Observation of Anomalous Moiré Patterns