Dirac-Harper Theory for One Dimensional Moiré Superlattices
arXiv:2007.05475 · doi:10.1103/PhysRevLett.125.166803
Abstract
We study a Dirac Harper model for moiré bilayer superlattices where layer antisymmetric strain periodically modulates the interlayer coupling between two honeycomb lattices in one spatial dimension. Discrete and continuum formulations of this model are analyzed. For sufficiently long moiré period the we find low energy spectra that host a manifold of weakly dispersive bands arising from a hierarchy of momentum and position dependent mass inversions. We analyze their charge distributions, mode count and valley-coherence using exact symmetries of the lattice model and approximate symmetries of a four-flavor version of the Jackiw-Rebbi one dimensional solution.
arXiv comment10 pages, 9 figures
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- A Non-Hermitian Moiré Valley Filter
- Topological origin of flat-bands as pseudo-Landau levels in uniaxial strained graphene nanoribbons and induced magnetic ordering due to electron-electron interactions
- Intrinsically-multilayer moiré heterostructures
- One-Dimensional Moiré Physics and Chemistry in Heterostrained Bilayer Graphene
- Anomalous Electrodynamics and Quantum Geometry in the Dirac-Harper model for a Graphene Bilayer
- Structural and electronic signatures of strain-tunable marginally twisted bilayer graphene
- Topological states constructed by two different trivial quantum wires
- Semiclassical quantization conditions in strained moiré lattices
- Designing a Transition Photonic Band with a Synthetic Moire Sphere
- Interaction-driven charge textures and unconventional superconductivity in strained monolayer graphene
- Straintronics and twistronics in bilayer graphene