Zero Energy Modes and Gate-Tunable Gap in Graphene on hexagonal Boron Nitride
arXiv:1205.3194 · doi:10.1103/PhysRevB.86.115415
Abstract
In this Letter, we derive an effective theory of graphene on a hexagonal Boron Nitride (h-BN) substrate. We show that the h-BN substrate generically opens a spectral gap in graphene despite the lattice mismatch. The origin of that gap is particularly intuitive in the regime of strong coupling between graphene and its substrate, when the low-energy physics is determined by the topology of a network of zero energy modes. For twisted graphene bilayers, where inversion symmetry is present, this network percolates through the system and the spectrum is gapless. The breaking of that symmetry by h-BN causes the zero energy modes to close into rings. The eigenstates of these rings hybridize into flat bands with gaps in between. The size of this band gap can be tuned by a gate voltage and it can reach the order of magnitude needed to confine electrons at room temperature.
4.1 pages, 4 figures
References in corpus (15)
- The electronic properties of graphene
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Topological Insulators with Inversion Symmetry
- Graphene bilayer with a twist: electronic structure
- Substrate-induced bandgap in graphene on hexagonal boron nitride
- STM Spectroscopy of ultra-flat graphene on hexagonal boron nitride
- Emergence of Superlattice Dirac Points in Graphene on Hexagonal Boron Nitride
- Topological confinement in bilayer graphene
- Commensuration and Interlayer Coherence in Twisted Bilayer Graphene
- Adhesion and electronic structure of graphene on hexagonal boron nitride substrates
- Domain walls in gapped graphene
- Energy gap tuning in graphene on hexagonal boron nitride bilayer system
- Band Symmetries and Singularities in Twisted Multilayer Graphene
- Local sublattice-symmetry breaking in rotationally faulted multilayer graphene
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