Landau Levels as a Probe for Band Topology in Graphene Moiré Superlattices
arXiv:2005.10620 · doi:10.1103/PhysRevLett.126.056401
Abstract
We propose Landau levels as a probe for the topological character of electronic bands in two-dimensional moiré superlattices. We consider two configurations of twisted double bilayer graphene (TDBG) that have very similar band structures, but show different valley Chern numbers of the flat bands. These differences between the AB-AB and AB-BA configurations of TDBG clearly manifest as different Landau level sequences in the Hofstadter butterfly spectra calculated using the tight-binding model. The Landau level sequences are explained from the point of view of the distribution of orbital magnetization in momentum space that is governed by the rotational and time-reversal symmetries. Our results can be readily extended to other twisted graphene multilayers and -BN/graphene heterostructures thus establishing the Hofstadter butterfly spectra as a powerful tool for detecting the non-trivial valley band topology.
arXiv comment5 pages, 3 figures
References in corpus (37)
- Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Moire bands in twisted double-layer graphene
- WannierTools: An open-source software package for novel topological materials
- Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
- Hofstadter's butterfly in moire superlattices: A fractal quantum Hall effect
- Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
- Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
- Intrinsic quantized anomalous Hall effect in a moiré heterostructure
- Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
- Flat Bands in Slightly Twisted Bilayer Graphene
- Signatures of Gate-Tunable Superconductivity in Trilayer Graphene/Boron Nitride Moiré Superlattice
- Berry phase, hyperorbits, and the Hofstadter spectrum: semiclassical dynamics in magnetic Bloch bands
- Correlated states in twisted double bilayer graphene
- All "Magic Angles" Are "Stable" Topological
- Faithful Tight-binding Models and Fragile Topology of Magic-angle Bilayer Graphene
- Failure of Nielsen-Ninomiya theorem and fragile topology in two-dimensional systems with space-time inversion symmetry: application to twisted bilayer graphene at magic angle
- A mechanism for anomalous Hall ferromagnetism in twisted bilayer graphene
- Correlated Insulating States in Twisted Double Bilayer Graphene
- Quantum valley Hall effect, orbital magnetism, and anomalous Hall effect in twisted multilayer graphene systems
- 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
- Structural and electronic transformation in low-angle twisted bilayer graphene
- Moiré Flat Bands in Twisted Double Bilayer Graphene
- The Landau Level of Fragile Topology
- Landau levels in twisted bilayer graphene and semiclassical orbits
- Landau Level Degeneracy in Twisted Bilayer Graphene: Role of Symmetry Breaking
- Intrinsic Band Gap and Electrically Tunable Flat Bands in Twisted Double Bilayer Graphene
- Hofstadter butterflies of bilayer graphene
- Gap Opening in Twisted Double Bilayer Graphene by Crystal fields
- Band-unfolding approach to Moirè-induced band-gap opening and Fermi-level-velocity reduction in twisted bilayer graphene
- Tunable bandwidths and gaps in twisted double bilayer graphene system on the verge of correlations
- Topological metals induced by Zeeman effect
- Periodic Landau gauge and Quantum Hall effect in twisted bilayer graphene
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- Generalized Peierls substitution for the tight-binding model of twisted multilayer graphene in a magnetic field
- Trigonal Warping, Satellite Dirac Points and Multiple Field Tuned Topological Transitions in Twisted Double Bilayer Graphene
- Tunable moire spinons in magnetically encapsulated twisted van der Waals quantum spin-liquids
- Quantum oscillations in field-induced correlated insulators of a moiré superlattice
- Fragile topological phase on the triangular kagome lattice and its bulk-boundary correspondence
- Emergent Symmetry and Valley Chern Insulator in Twisted Double-Bilayer Graphene
- An effective curved space-time geometric theory of generic twist angle graphene with application to a rotating bilayer configuration
- Magic-angle twisted bilayer graphene under orthogonal and in-plane magnetic fields
- Landau-Level Quantization and Band Splitting of FeSe Monolayers Revealed by Scanning Tunneling Spectroscopy
- Hofstadter Butterfly in Graphene