Electronic properties of graphene hexagonal boron nitride moiré superlattice

Abstract

We theoretically investigate the electronic structures of moiré superlattices arising in monolayer / bilayer graphene stacked on hexagonal boron nitride (hBN) in presence and absence of magnetic field. We develop an effective continuum model from a microscopic tight-binding lattice Hamiltonian, and calculate the electronic structures of graphene-hBN systems with different rotation angles. Using the effective model, we explain the characteristic band properties such as the gap opening at the corners of the superlattice Brillouin zone (mini-Dirac point). We also investigate the energy spectrum and quantum Hall effect of graphene-hBN systems in uniform magnetic field and demonstrate the evolution of the fractal spectrum as a function of the magnetic field. The spectrum generally splits in the valley degrees of freedom ($K$ and $K^{\prime }$) due to the lack of the inversion symmetry, and the valley splitting is more significant in bilayer graphene on hBN than in monolayer graphene on hBN because of the stronger inversion-symmetry breaking in bilayer.

arXiv comment14 pages, 10 figures

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Cited by in corpus (129)

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• Fractional fractal quantum Hall effect in graphene superlattices
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• Theories for the correlated insulating states and quantum anomalous Hall phenomena in twisted bilayer graphene
• Electrically controllable magnetism in twisted bilayer graphene
• High-temperature quantum oscillations caused by recurring Bloch states in graphene superlattices
• Tunable crystal symmetry in graphene-boron nitride heterostructures with coexisting moiré superlattices
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• New generation of moiré superlattices in doubly aligned hBN/graphene/hBN heterostructures
• Quasicrystalline electronic states in 30${}^{\circ }$ rotated twisted bilayer graphene
• Observation of the quantum valley Hall state in ballistic graphene superlattices
• Anomalous Hall Crystals in Rhombohedral Multilayer Graphene I: Interaction-Driven Chern Bands and Fractional Quantum Hall States at Zero Magnetic Field
• Flat Bands in Twisted Bilayers of Two-Dimensional Polar Materials
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• Moiré Commensurability and the Quantum Anomalous Hall Effect in Twisted Bilayer Graphene on Hexagonal Boron Nitride
• Moire superlattice effects in graphene/boron-nitride van der Waals heterostructures
• Double moiré with a twist: super-moiré in encapsulated graphene
• Skyrmions in twisted van der Waals magnets
• Band structure of twisted bilayer graphene on hexagonal boron nitride
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• Edge modes and non local conductance in graphene superlattices
• Electrostatic Superlattices on Scaled Graphene Lattices
• Electronic properties of twisted bilayer graphene suspended and encapsulated with hexagonal boron nitride
• Accurate Measurement of the Gap of Graphene/hBN Moiré Superlattice through Photocurrent Spectroscopy
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• Topological phases and twisting of graphene on a dichalcogenide monolayer
• Fractal energy gaps and topological invariants in hBN/Graphene/hBN double moiré systems
• Quasicrystalline electronic states in twisted bilayers and the effects of interlayer and sublattice symmetries
• Twist-controlled Resonant Tunnelling between Monolayer and Bilayer Graphene
• Narrow bands in magnetic field and strong-coupling Hofstadter spectra
• Self-consistent theory for the fractional quantum anomalous Hall effect in rhombohedral pentalayer graphene
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• Moiré phonons in graphene/hexagonal boron nitride moiré superlattice
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• Electronic structure of transferred graphene/h-BN van der Waals heterostructures with nonzero stacking angles by nano-ARPES
• Topological Flat Bands in Graphene Super-moiré Lattices
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• Anomalous Cyclotron Motion in Graphene Superlattice Cavities
• Infrared absorption of closely-aligned heterostructures of monolayer and bilayer graphene with hexagonal boron nitride
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• Anisotropic Optical Properties of Hexagonal Boron Nitride Thin Films
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• Electron-hole Hybridization in Bilayer Graphene