Electron Interactions and Gap Opening in Graphene Superlattices

Abstract

We develop a theory of interaction effects in graphene superlattices, where tunable superlattice periodicity can be used as a knob to control the gap at the Dirac point. Applied to graphene on hexa-boron-nitride (G/h-BN), our theory predicts substantial many-body enhancement of this gap. Tunable by the moire superlattice periodicity, a few orders of magnitude enhancement is reachable under optimal conditions. The Dirac point gap enhancement can be much larger than that of the minigaps opened by Bragg scattering at principal superlattice harmonics. This naturally explains the conundrum of large Dirac point gaps recently observed in G/h-BN heterostructures and their tunability by the G/h-BN twist angle.

5pgs, 2fgs

References in corpus (13)

• Boron nitride substrates for high-quality graphene electronics
• Substrate-induced band gap opening in epitaxial graphene
• Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
• Cloning of Dirac fermions in graphene superlattices
• Emergence of Superlattice Dirac Points in Graphene on Hexagonal Boron Nitride
• Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
• Ab initio Study of Graphene on SiC
• New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials
• Generic Miniband Structure of Graphene on a Hexagonal Substrate
• Quantum critical point in graphene approached in the limit of infinitely strong Coulomb interaction
• Zero Energy Modes and Gate-Tunable Gap in Graphene on hexagonal Boron Nitride
• Anomalous thermodynamics of Coulomb interacting massless Dirac fermions in two spatial dimensions
• Band structure and gaps of triangular graphene superlattices

Cited by in corpus (78)

• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Commensurate-incommensurate transition for graphene on hexagonal boron nitride
• Twistable electronics with dynamically rotatable heterostructures
• Superlattice-induced insulating states and valley-protected orbits in twisted bilayer graphene
• Novel effects of strains in graphene and other two dimensional materials
• Origin of band gaps in graphene on hexagonal boron nitride
• Dynamic band structure tuning of graphene moiré superlattices with pressure
• Ab-Initio Theory of Moiré Superlattice Bands in Layered Two-Dimensional Materials
• Second generation Dirac cones and inversion symmetry breaking induced gaps in graphene/hexagonal boron nitride
• High-frequency rectification via chiral Bloch electrons
• Observation of an intrinsic bandgap and Landau level renormalization in graphene/boron-nitride heterostructures
• Pressure-induced commensurate stacking of graphene on boron nitride
• Tunable crystal symmetry in graphene-boron nitride heterostructures with coexisting moiré superlattices
• Macroscopic self-reorientation of interacting two-dimensional crystals
• New generation of moiré superlattices in doubly aligned hBN/graphene/hBN heterostructures
• Creating One-dimensional Nanoscale Periodic Ripples in a Continuous Mosaic Graphene Monolayer
• Topological Bloch Bands in Graphene Superlattices
• Electron quantum metamaterials in van der Waals heterostructures
• Composite Fermions and Broken Symmetries in Graphene
• Band gaps in incommensurable graphene on hexagonal boron nitride
• Effect of structural relaxation on the electronic structure of graphene on hexagonal boron nitride
• Flat Bands in Twisted Bilayers of Two-Dimensional Polar Materials
• Graphene on Hexagonal Boron Nitride
• Moiré band model and band gaps of graphene on hexagonal boron nitride
• Moiré Commensurability and the Quantum Anomalous Hall Effect in Twisted Bilayer Graphene on Hexagonal Boron Nitride
• A chiral twist on the high-$T_c$ phase diagram in Moiré heterostructures
• Gate-dependent Pseudospin Mixing in Graphene/Boron Nitride Moire Superlattices
• Moire superlattice effects in graphene/boron-nitride van der Waals heterostructures
• Double moiré with a twist: super-moiré in encapsulated graphene
• Understanding the origin of band gap formation in graphene on metals: graphene on Cu/Ir(111)
• Band structure of twisted bilayer graphene on hexagonal boron nitride
• Electronic structure of spontaneously strained graphene on hexagonal Boron Nitride
• Magic-angle semimetals
• Pressure-Induced Metal-Insulator Transition in Twisted Bi-layer Graphene
• An accurate description of the structural and electronic properties of twisted bilayer graphene-boron nitride heterostructures
• Metal-Insulator Transition in Graphene on Boron Nitride
• Topological flat bands in rhombohedral tetralayer and multilayer graphene on hexagonal boron nitride moire superlattices
• Electric dipole induced universality for Dirac fermions in graphene
• Many-particle effects in the cyclotron resonance of encapsulated monolayer graphene
• Superstructure-induced splitting of Dirac cones in silicene
• Effective Interactions in a Graphene Layer Induced by the Proximity to a Ferromagnet
• Qualitative analysis of trapped Dirac fermions in graphene
• Midgap states and band gap modification in defective graphene/h-BN heterostructures
• Edge modes and non local conductance in graphene superlattices
• Electronic properties of twisted bilayer graphene suspended and encapsulated with hexagonal boron nitride
• Terahertz photocurrent probe of quantum geometry and interactions in magic-angle twisted bilayer graphene
• Accurate Measurement of the Gap of Graphene/hBN Moiré Superlattice through Photocurrent Spectroscopy
• Band gap engineering in AA-stacked bilayer graphene
• Many-body dynamics and gap opening in interacting periodically driven systems
• Excitonic mass gap in uniaxially strained graphene
• Valley Order and Loop Currents in Graphene on Hexagonal Boron Nitride
• Scattering theory and ground-state energy of Dirac fermions in graphene with two Coulomb impurities
• Infrared absorption of closely-aligned heterostructures of monolayer and bilayer graphene with hexagonal boron nitride
• Interlayer Transport through a Graphene / Rotated-Boron-Nitride / Graphene Heterostructure
• Topological valley currents via ballistic edge modes in graphene superlattices near the primary Dirac point
• Sublattice symmetry breaking and ultra low energy excitations in Graphene-on-hBN Heterostructures
• A primer on twistronics: A massless Dirac fermion's journey to moiré patterns and flat bands in twisted bilayer graphene
• Transport Properties in Gapped Bilayer Graphene
• Supercriticality of novel type induced by electric dipole in gapped graphene
• Supercritical electric dipole and migration of electron wave function in graphene
• Electronic structure of graphene-nanoribbons on hexagonal boron nitride
• Moiré effects in graphene--hBN heterostructures
• Tunable Electronic Band Structures and Zero-Energy Modes of Heterosubstrate-induced Graphene Superlattices
• Thermopower in hBN/graphene/hBN superlattices
• In-plane Chiral Tunneling and Out-of-plane Valley-polarized Quantum Tunneling in Twisted Graphene Trilayer
• Interaction-induced metallic state in graphene on hexagonal boron nitride
• Two-electron bound states near a Coulomb impurity in gapped graphene
• Impacts of in-plane strain on commensurate graphene/hexagonal boron nitride superlattices
• Milli-Tesla Quantization enabled by Tuneable Coulomb Screening in Large-Angle Twisted Graphene
• Designing Band Structures by Patterned Dielectric Superlattices
• Wigner crystallization at large fine structure constant
• Charge transport and electron-hole asymmetry in low-mobility graphene/hexagonal boron nitride heterostructures
• Substrate effects on transport properties of a biased AA-stacked bilayer graphene
• Review of the tight-binding method applicable to the properties of moiré superlattices
• Topological phase diagram of twisted bilayer graphene as a function of the twist angle
• Magnetic ordering tendencies in hexagonal boron nitride-bilayer graphene moiré structures
• Soft pair excitations and double-log divergences due to carrier interactions in graphene
• Renormalization group analysis of weakly interacting van der Waals Fermi system