Magic-angle twisted bilayer graphene under orthogonal and in-plane magnetic fields
arXiv:2307.09960 · doi:10.1088/1361-648X/ad4431
Abstract
We investigate the effect of a magnetic field on the band structure of bilayer graphene with a magic twist angle of 1.08°. The coupling of a tight-binding model and the Peierls phase allows the calculation of the energy bands of periodic two-dimensional systems. For an orthogonal magnetic field, the Landau levels are dispersive, particularly for magnetic lengths comparable to or larger than the twisted bilayer cell size. A high in-plane magnetic field modifies the low-energy bands and gap, which we demonstrate to be a direct consequence of the minimal coupling.
arXiv comment14 pages, 7 figures
References in corpus (62)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Electronic transport in two dimensional graphene
- Moire bands in twisted double-layer graphene
- Tuning superconductivity in twisted bilayer graphene
- Landau level degeneracy and quantum Hall effect in a graphite bilayer
- Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
- Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
- Graphene bilayer with a twist: electronic structure
- Observation of Van Hove singularities in twisted graphene layers
- Magic Angle Spectroscopy
- Flat Bands in Slightly Twisted Bilayer Graphene
- Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene
- Graphene Bilayers with a Twist
- Origin of Magic Angles in Twisted Bilayer Graphene
- Landau Level Splitting in Graphene in High Magnetic Fields
- Imaging Electronic Correlations in Twisted Bilayer Graphene near the Magic Angle
- Charge-Order and Broken Rotational Symmetry in Magic Angle Twisted Bilayer Graphene
- All "Magic Angles" Are "Stable" Topological
- Strongly Correlated Chern Insulators in Magic-Angle Twisted Bilayer Graphene
- Faithful Tight-binding Models and Fragile Topology of Magic-angle Bilayer Graphene
- Nematicity and Competing Orders in Superconducting Magic-Angle Graphene
- Energy Spectrum and Quantum Hall Effect in Twisted Bilayer Graphene
- Numerical studies of confined states in rotated bilayers of graphene
- An exact continuum model for low-energy electronic states of twisted bilayer graphene
- Correlated Insulating States in Twisted Double Bilayer Graphene
- The pseudo-Landau-level representation of twisted bilayer graphene: band topology and the implications on the correlated insulating phase
- Moire Butterflies
- Electronic Structure Theory of Weakly Interacting Bilayers
- Visualization of the flat electronic band in twisted bilayer graphene near the magic angle twist
- Quantum Hall Effect, Screening and Layer-Polarized Insulating States in Twisted Bilayer Graphene
- Electronic Compressibility of Magic-Angle Graphene Superlattices
- Topologically Protected Zero Modes in Twisted Bilayer Graphene
- Imaging Chern mosaic and Berry-curvature magnetism in magic-angle graphene
- Continuum model for relaxed twisted bilayer graphenes and moiré electron-phonon interaction
- Chiral response of twisted bilayer graphene
- The Landau Level of Fragile Topology
- Spin-orbit coupling in a graphene bilayer and in graphite
- Landau levels in twisted bilayer graphene and semiclassical orbits
- Structural relaxation and low energy properties of Twisted Bilayer Graphene
- Derivation of Wannier orbitals and minimal-basis tight-binding hamiltonians for twisted bilayer graphene: a first-principles approach
- Landau Level Degeneracy in Twisted Bilayer Graphene: Role of Symmetry Breaking
- In-plane critical magnetic fields in magic-angle twisted trilayer graphene
- Reentrant Correlated Insulators in Twisted Bilayer Graphene at 25T ( Flux)
- Minimum model for the electronic structure of twisted bilayer graphene and related structures
- Linear response of twisted bilayer graphene: continuum vs. tight-binding models
- Creating Magnetic Fields in excess of 1000 T by Misoriented Stacking in a Graphene Bilayer
- Twisted bilayer graphene in a parallel magnetic field
- Bilayer graphene with parallel magnetic field and twisting: Phases and phase transitions in a highly tunable Dirac system
- Periodic Landau gauge and Quantum Hall effect in twisted bilayer graphene
- Magnetic ratchet effect in bilayer graphene
- Landau Levels as a Probe for Band Topology in Graphene Moiré Superlattices
- An accurate tight binding model for twisted bilayer graphene describes topological flat bands without geometric relaxation
- Transport properties of bilayer graphene in a strong in-plane magnetic field
- four-band Wannier tight-binding model for generic twisted graphene systems
- Convenient Peierls phase choice for periodic atomistic systems under magnetic field
- Non-identical moiré twins in bilayer graphene
- Quantum nonlinear planar Hall effect in bilayer graphene: an orbital effect of a steady in-plane magnetic field
- Generalized Peierls substitution for the tight-binding model of twisted multilayer graphene in a magnetic field
- In-plane orbital magnetization as a probe for symmetry breaking in strained twisted bilayer graphene
- Tunable zero-energy transmission resonances in shifted graphene bilayer
- In-plane magnetoelectric response in bilayer graphene
- Absence of Edge States in The Valley Chern Insulator in Moiré Graphene