Gate tunable topological flat bands in twisted monolayer-bilayer graphene

Abstract

We investigate the band structure of twisted monolayer-bilayer graphene (tMBG), or twisted graphene on bilayer graphene (tGBG), as a function of twist angles and perpendicular electric fields in search of optimum conditions for achieving isolated nearly flat bands. Narrow bandwidths comparable or smaller than the effective Coulomb energies satisfying $U_{\text{eff}}/W\gtrsim 1$ are expected for twist angles in the range of $0.3^{\circ }\sim 1.5^{\circ }$, more specifically in islands around $\theta \sim 0.5^{\circ },0.85^{\circ },1.3^{\circ }$ for appropriate perpendicular electric field magnitudes and directions. The valley Chern numbers of the electron-hole asymmetric bands depend intrinsically on the details of the hopping terms in the bilayer graphene, and extrinsically on factors like electric fields or average staggered potentials in the graphene layer aligned with the contacting hexagonal boron nitride substrate. This tunability of the band isolation, bandwidth, and valley Chern numbers makes of tMBG a more versatile system than twisted bilayer graphene for finding nearly flat bands prone to strong correlations.

arXiv comment15 pages, 11 figures

References in corpus (60)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• 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
• Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
• Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
• Graphene bilayer with a twist: electronic structure
• Intrinsic quantized anomalous Hall effect in a moiré heterostructure
• Emergence of Superlattice Dirac Points in Graphene on Hexagonal Boron Nitride
• Magic Angle Spectroscopy
• Origin of Magic Angles in Twisted Bilayer Graphene
• Tunable Correlated Chern Insulator and Ferromagnetism in Trilayer Graphene/Boron Nitride Moiré Superlattice
• Imaging Electronic Correlations in Twisted Bilayer Graphene near the Magic Angle
• Signatures of Gate-Tunable Superconductivity in Trilayer Graphene/Boron Nitride Moiré Superlattice
• Continuum Model of the Twisted Bilayer
• Landau level spectroscopy of ultrathin graphite layers
• Evidence of Gate-Tunable Mott Insulator in Trilayer Graphene-Boron Nitride Moiré Superlattice
• Tunable Moiré Bands and Strong Correlations in Small-Twist-Angle Bilayer Graphene
• Correlated states in twisted double bilayer graphene
• Maximally-localized Wannier orbitals and the extended Hubbard model for the twisted bilayer graphene
• Strange metal in magic-angle graphene with near Planckian dissipation
• Spontaneous Quantum Hall States in Chirally-stacked Few-Layer Graphene Systems
• Optical Absorption in Twisted Bilayer Graphene
• Electronic structure of turbostratic graphene
• Unravelling the intrinsic and robust nature of van Hove singularities in twisted bilayer graphene
• Nearly Flat Chern Bands in Moiré Superlattices
• Faithful Tight-binding Models and Fragile Topology of Magic-angle Bilayer Graphene
• Energy Spectrum and Quantum Hall Effect in Twisted Bilayer Graphene
• A mechanism for anomalous Hall ferromagnetism in twisted bilayer graphene
• Origin of band gaps in graphene on hexagonal boron nitride
• Strong coupling phases of partially filled twisted bilayer graphene narrow bands
• Symmetry, maximally localized Wannier states, and low energy model for the twisted bilayer graphene narrow bands
• Ab-Initio Theory of Moiré Superlattice Bands in Layered Two-Dimensional Materials
• Non-Abelian gauge potentials in graphene bilayers
• Quantum valley Hall effect, orbital magnetism, and anomalous Hall effect in twisted multilayer graphene systems
• Quantum Anomalous Hall State in Bilayer Graphene
• Twisted Bilayer Graphene Aligned with Hexagonal Boron Nitride: Anomalous Hall Effect and a Lattice Model
• Pressure dependence of the magic twist angle in graphene superlattices
• Transport Between Twisted Graphene Layers
• Theory of correlated insulating behaviour and spin-triplet superconductivity in twisted double bilayer graphene
• Flatbands in twisted double bilayer graphene
• Band structure and topological property of twisted double bilayer graphenes
• Gate-Tunable Topological Flat Bands in Trilayer Graphene-Boron Nitride Moiré Superlattices
• Accurate tight-binding and continuum models for the $\pi$ bands of bilayer graphene
• Structural Determination of Multilayer Graphene via Atomic Moiré Interferometry
• Helical networks in twisted bilayer graphene under interlayer bias
• Local spectroscopy of moiré-induced electronic structure in gate-tunable twisted bilayer graphene
• Lattice Theory of Pseudospin Ferromagnetism in Bilayer Graphene: Competing Orders and Interaction Induced Quantum Hall States
• Epitaxial Graphene Electronic Structure And Transport
• Topological Bloch Bands in Graphene Superlattices
• Insulating behavior at the neutrality point in dual-gated, single-layer graphene
• Optical conductivity, Drude weight and plasmons in twisted graphene bilayers
• Superlattice structures in twisted bilayers of folded graphene
• Electronic Properties of Twisted Trilayer Graphene
• Intrinsic Band Gap and Electrically Tunable Flat Bands in Twisted Double Bilayer Graphene
• Pressure Induced Compression of Flatbands in Twisted Bilayer Graphene
• Phonon scattering induced carrier resistivity in twisted double bilayer graphene
• Topological flat bands without magic angles in massive twisted bilayer graphenes

Cited by in corpus (31)

• Electrical switching of magnetic order in an orbital Chern insulator
• Twisted Trilayer Graphene: a Precisely Tunable Platform for Correlated Electrons
• Topological charge density waves at half-integer filling of a moiré superlattice
• Competing correlated states and abundant orbital magnetism in twisted monolayer-bilayer graphene
• Local atomic stacking and symmetry in twisted graphene trilayers
• Electrical band flattening, valley flux, and superconductivity in twisted trilayer graphene
• Topological Flat Bands and Correlated States in Twisted Monolayer-Bilayer Graphene
• TSTG I: Single-Particle and Many-Body Hamiltonians and Hidden Non-local Symmetries of Trilayer Moiré Systems with and without Displacement Field
• Twistronics in graphene-based van der Waals structures
• Topological flat bands in rhombohedral tetralayer and multilayer graphene on hexagonal boron nitride moire superlattices
• Recent Developments in Fractional Chern Insulators
• TSTG II: Projected Hartree-Fock Study of Twisted Symmetric Trilayer Graphene
• Spin polarized nematic order, quantum valley Hall states, and field tunable topological transitions in twisted multilayer graphene systems
• Electron-hole asymmetry and band gaps of commensurate double moire patterns in twisted bilayer graphene on hexagonal boron nitride
• Proximity spin-orbit and exchange coupling in ABA and ABC trilayer graphene van der Waals heterostructures
• Spectroscopic visualization of flat bands in magic-angle twisted monolayer-bilayer graphene: localization-delocalization coexisting electronic states
• Stacking and gate tunable topological flat bands, gaps and anisotropic strip patterns in twisted trilayer graphene
• Valley-selective Floquet Chern Flat Bands in Twisted Multilayer Graphene
• Local spectroscopy of a gate-switchable moiré quantum anomalous Hall insulator
• Moire Band Structures of the Double twisted Few Layer Graphene
• Flat bands, electron interactions and magnetic order in magic-angle mono-trilayer graphene
• Nearly flat bands in twisted triple bilayer graphene
• Observation of dichotomic field-tunable electronic structure in twisted monolayer-bilayer graphene
• Neutral magic-angle bilayer graphene: Condon instability and chiral resonances
• Orbital Hall Conductivity in a Graphene/Haldane and Haldane/Haldane Bilayers
• Energy Spectrum Theory of Incommensurate Systems
• Sliding-dependent electronic structures of alternating-twist tetralayer graphene
• Shift current response in twisted double bilayer graphenes
• Perpendicular electronic transport and moiré-induced resonance in twisted interfaces of three-dimensional graphite
• Electronic properties of twisted multilayer graphene
• Higher Chern bands in helical homotrilayer transition metal dichalcogenides