Graphene quantum dot on boron nitride: Dirac cone replica and Hofstadter butterfly
arXiv:1409.3783 · doi:10.1103/PhysRevB.90.165404
Abstract
Graphene flakes placed on hexagonal boron nitride feature in the presence of a magnetic field a complex electronic structure due to a hexagonal moiré potential resulting from the van der Waals interaction with the substrate. The slight lattice mismatch gives rise to a periodic supercell potential. Zone folding is expected to create replica of the original Dirac cone and Hofstadter butterflies. Our large-scale tight binding simulation reveals an unexpected coexistence of a relativistic and non-relativistic Landau level structure. The presence of the zeroth Landau level and its associated butterfly is shown to be the unambiguous signature for the occurrence of Dirac cone replica.
8 pages, 6 figures
References in corpus (15)
- The electronic properties of graphene
- Boron nitride substrates for high-quality graphene electronics
- STM Spectroscopy of ultra-flat graphene on hexagonal boron nitride
- Emergence of Superlattice Dirac Points in Graphene on Hexagonal Boron Nitride
- Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
- Dirac Cones and Minigaps for Graphene on Ir(111)
- Scanning Tunneling Spectroscopy of Graphene on Graphite
- New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials
- Intrinsic and extrinsic corrugation of monolayer graphene deposited on SiO2
- Hierarchy of Hofstadter states and replica quantum Hall ferromagnetism in graphene superlattices
- Observation of an intrinsic bandgap and Landau level renormalization in graphene/boron-nitride heterostructures
- Electronic structure, imaging contrast and chemical reactivity of graphene moiré on metals
- Graphene on boron-nitride: Moiré pattern in the van der Waals energy
- Transition to Landau Levels in Graphene Quantum Dots
- Hall plateau diagram for the Hofstadter butterfly energy spectrum
Cited by in corpus (4)
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- Band gap formation in commensurate twisted bilayer graphene/hBN moiré lattices
- Finger-gate manipulated quantum transport in Dirac materials