Effective Floquet model for minimally twisted bilayer graphene
arXiv:2011.12989 · doi:10.1103/PhysRevB.103.195432
Abstract
We construct an effective Floquet lattice model for the triangular network that emerges in interlayer-biased minimally twisted bilayer graphene and which supports two chiral channels per link for a given valley and spin. We introduce the Floquet scheme with the one-channel triangular network and subsequently extend it to the two-channel case. From the bulk topological index (winding number) and finite system calculations, we find that both cases host anomalous Floquet insulators (AFIs) with a different gap-opening mechanism. In the one-channel network, either time-reversal or in-plane inversion symmetry has to be broken to open a gap. In contrast, in the two-channel network, interchannel coupling can open a gap without breaking these symmetries yielding a valley AFI with counterpropagating edge states. This phase is topologically trivial with respect to the total winding number but robust in the absence of intervalley scattering. Finally, we demonstrate the applicability of the Floquet model with magnetotransport calculations.
arXiv comment15 pages, 15 figures
References in corpus (56)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Many-Body Physics with Ultracold Gases
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Topological Photonics
- Topological Photonics
- Moire bands in twisted double-layer graphene
- Tuning superconductivity in twisted bilayer graphene
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
- Graphene bilayer with a twist: electronic structure
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- Analogs of quantum Hall effect edge states in photonic crystals
- Topological characterization of periodically-driven quantum systems
- Observation of Van Hove singularities in twisted graphene layers
- Magic Angle Spectroscopy
- Flat Bands in Slightly Twisted Bilayer Graphene
- Atomic and electronic reconstruction at van der Waals interface in twisted bilayer graphene
- Imaging Electronic Correlations in Twisted Bilayer Graphene near the Magic Angle
- Strain Solitons and Topological Defects in Bilayer Graphene
- Lattice relaxation and energy band modulation in twisted bilayer graphenes
- Tunable Moiré Bands and Strong Correlations in Small-Twist-Angle Bilayer Graphene
- Strange metal in magic-angle graphene with near Planckian dissipation
- Topological confinement in bilayer graphene
- Floquet scattering theory of quantum pumps
- Valley Chern Numbers and Boundary Modes in Gapped Bilayer Graphene
- Photonic crystals for nano-light in moiré graphene superlattices
- Optical Resonator Analog of a Two-Dimensional Topological Insulator
- Observation of Topological Band Gap Solitons
- Band Structure of Twisted Bilayer Graphene: Emergent Symmetries, Commensurate Approximants and Wannier Obstructions
- Realization of an anomalous Floquet topological system with ultracold atoms
- Multiterminal Conductance of a Floquet Topological Insulator
- Topologically Protected Helical States in Minimally Twisted Bilayer Graphene
- Direct imaging of topological edge states at a bilayer graphene domain wall
- Random Network Models and Quantum Phase Transitions in Two Dimensions
- Helical networks in twisted bilayer graphene under interlayer bias
- Transport through a network of topological states in twisted bilayer graphene
- Network Models of Photonic Floquet Topological Insulators
- Topological kink states at a tilt boundary in gated multi-layer graphene
- Current Noise in ac-Driven Nanoscale Conductors
- Helical Network Model for Twisted Bilayer Graphene
- Giant oscillations in a triangular network of one-dimensional states in marginally twisted graphene
- Electrically tunable gauge fields in tiny-angle twisted bilayer graphene
- Current partition at topological zero-line intersections
- Network Models of Quantum Percolation and Their Field-Theory Representations
- Topological Valley Hall Edge State Lasing
- Edge State Transport in Floquet Topological Insulators
- Perfect one-dimensional chiral states in biased twisted bilayer graphene
- Phase rotation symmetry and the topology of oriented scattering networks
- Perfect and controllable nesting in the small angle twist bilayer graphene
- The emergence of one-dimensional channels in marginal-angle twisted bilayer graphene
- Aharonov-Bohm Oscillations in Minimally Twisted Bilayer Graphene
- Chiral zigzag modes and flatbands in network models of twisted bilayer graphene
- Hofstadter butterfly and Floquet topological insulators in minimally twisted bilayer graphene
- Topological chiral modes in random scattering networks
- Quantum Hall network models as Floquet topological insulators
- Quantum site percolation on triangular lattice and the integer quantum Hall effect
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