Change of chirality at magic angles of twisted bilayer graphene

Abstract

We derive a simple formula for the real-space chirality of twisted bilayer graphene that can be related to the cross-product of its sheet currents. This quantity shows well-defined plateaus for the first remote band as function of the gate voltage which are approximately quantized for commensurate twist angles. The zeroth plateau corresponds to the first magic angle where a sign change occurs due to an emergent $C_6$-symmetry. Our observation offers a new definition of the magic angle based on a macroscopic observable which is accessible in typical transport experiments.

arXiv comment5 pages, 4 figures

References in corpus (25)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Moire bands in twisted double-layer graphene
• Tuning superconductivity in twisted 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
• Graphene bilayer with a twist: electronic structure
• Intrinsic quantized anomalous Hall effect in a moiré heterostructure
• Observation of Van Hove singularities in twisted graphene layers
• Flat Bands in Slightly Twisted Bilayer Graphene
• Origin of Magic Angles in Twisted Bilayer Graphene
• Localization of Dirac electrons by Moire patterns in graphene bilayers
• Signatures of Gate-Tunable Superconductivity in Trilayer Graphene/Boron Nitride Moiré Superlattice
• Tunable Moiré Bands and Strong Correlations in Small-Twist-Angle Bilayer Graphene
• A mechanism for anomalous Hall ferromagnetism in twisted bilayer graphene
• Kohn-Luttinger Superconductivity in Twisted Bilayer Graphene
• Non-Abelian gauge potentials in graphene bilayers
• Twisted Bilayer Graphene Aligned with Hexagonal Boron Nitride: Anomalous Hall Effect and a Lattice Model
• Chiral response of twisted bilayer graphene
• Twisting Dirac fermions: Circular dichroism in bilayer graphene
• Flat bands and chiral optical response of moiré insulators
• Mobilities and Scattering Times in Decoupled Graphene Monolayers
• Linear response of twisted bilayer graphene: continuum vs. tight-binding models
• Emergent magnetic texture in driven twisted bilayer graphene

Cited by in corpus (14)

• Roadmap for Photonics with 2D Materials
• Flat-band ferromagnetism in twisted bilayer graphene
• Time-Reversal Even Charge Hall Effect from Twisted Interface Coupling
• Plasmon-enhanced near-field chirality in twisted van der Waals heterostructures
• Chirality-induced spin texture switching in twisted bilayer graphene
• Theory of plasmonic edge states in chiral bilayer systems
• Chirality probe of twisted bilayer graphene in the linear transport regime
• Neutral magic-angle bilayer graphene: Condon instability and chiral resonances
• Intrinsic and extrinsic photogalvanic effects in twisted bilayer graphene
• Layer Hall counterflow as a model probe of magic-angle twisted bilayer graphene
• Twistronics and moiré superlattice physics in 2D transition metal dichalcogenides
• Optical response of alternating twisted trilayer graphene
• Graphene bilayer and trilayer Moiré lattice with Rashba spin-orbit coupling
• Interlayer electric multipole Hall effect in twisted multilayers