Theory of engineering flat bands in graphene using doubly-periodic electrostatic gating
arXiv:2110.15477
Abstract
We explore the use of applied electrical potentials to induce band flattening in graphene for bands near zero energy. We consider various families of doubly periodic potentials and simulate their effect on the electronic band structure using a tight-binding and a continuum approach. From these families, we find that an applied potential with symmetries of wallpaper group 17, in particular a Kagome potential, works best for inducing a high degree of band flattening for a range of realistic potential amplitudes and periods. Our work indicates that it should be possible to engineer the band structure of graphene using electrostatic gating, thus enabling a new approach to the development of graphene-based metamaterials.
arXiv comment10 pages, 11 figures
References in corpus (17)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Two-Dimensional Gas of Massless Dirac Fermions in Graphene
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Moire bands in twisted double-layer graphene
- Graphene bilayer with a twist: electronic structure
- Flat Bands in Slightly Twisted Bilayer Graphene
- Origin of Magic Angles in Twisted Bilayer Graphene
- Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
- Twistronics: Manipulating the Electronic Properties of Two-dimensional Layered Structures through their Twist Angle
- New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials
- Faithful Tight-binding Models and Fragile Topology of Magic-angle Bilayer Graphene
- Band touching from real space topology in frustrated hopping models
- Extra Dirac points in the energy spectrum for superlattices on single-layer graphene
- Emerging Zero Modes for Graphene in a Periodic Potential
- Landau Levels and Quantum Hall Effect in Graphene Superlattices
- Gate-tunable flat bands in van der Waals patterned dielectric superlattices