• Corpus ID: 118926204

Lattice Deformation, Low Energy Models and Flat Bands in Twisted Graphene Bilayers.

  title={Lattice Deformation, Low Energy Models and Flat Bands in Twisted Graphene Bilayers.},
  author={Niels R. Walet and Francisco Guinea},
  journal={arXiv: Strongly Correlated Electrons},
Twisted graphene bilayers show a complex electronic structure, further modified by interaction effects. The main features can be obtained from effective models, which make use a few phenomenological parameters. We analyze the influence of effects at the atomic scale, such as interlayer hopping and lattice relaxation, on the electronic bands. We assume that the twist angle and the size of the Moire pattern is fixed, as it is usually the case in experiments. We obtain a strong dependence of the… 
3 Citations

Figures from this paper

Electronic-structure methods for twisted moiré layers
When single layers of 2D materials are stacked on top of one another with a small twist in orientation, the resulting structure often involves incommensurate moiré patterns. In these patterns, the
Large-area, periodic, and tunable intrinsic pseudo-magnetic fields in low-angle twisted bilayer graphene
Experimental tuning of large area periodic pseudo-magnetic fields within twisted bilayer graphene and massive Dirac electrons having circularly localized pseudo-Landau levels are reported.
Kekulé Spiral Order at All Nonzero Integer Fillings in Twisted Bilayer Graphene
Y.H. Kwan, G. Wagner, T. Soejima, M.P. Zaletel, 3 S.H. Simon, S.A. Parameswaran, and N. Bultinck 4 Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3PU, United Kingdom


Lattice relaxation and energy band modulation in twisted bilayer graphene
We theoretically study the lattice relaxation in the twisted bilayer graphene (TBG) and its effect on the electronic band structure. We develop an effective continuum theory to describe the lattice
Graphene bilayer with a twist: electronic structure.
A graphene bilayer with a relative small angle rotation between the layers is considered and it is found that the low energy dispersion is linear, as in a single layer, but the Fermi velocity can be significantly smaller than the single-layer value.
Continuum models for twisted bilayer graphene: Effect of lattice deformation and hopping parameters
We analyze a description of twisted graphene bilayers, that incorporates deformation of the layers due to the nature modern interlayer potentials, and a modification of the hopping parameters between
Maximally Localized Wannier Orbitals and the Extended Hubbard Model for Twisted Bilayer Graphene
We develop an effective extended Hubbard model to describe the low-energy electronic properties of the twisted bilayer graphene. By using the Bloch states in the effective continuum model and with
Band symmetries and singularities in twisted multilayer graphene
The electronic spectra of rotationally faulted graphene bilayers are calculated using a continuum formulation for small fault angles that identifies two distinct electronic states of the coupled
All Magic Angles in Twisted Bilayer Graphene are Topological.
This work proves, using an approximate low-energy particle-hole symmetry, that the gapped set of bands that exist around all magic angles have a nontrivial topology stabilized by a magnetic symmetry, provided band gaps appear at fillings of ±4 electrons per moiré unit cell.
Single-electron gap in the spectrum of twisted bilayer graphene
We investigate the gap in the single-electron spectrum of twisted bilayer graphene. In a perfect infinite lattice of a twisted bilayer, the gap varies exponentially in response to weak changes of the
Interlayer Potential for Graphene/h-BN Heterostructures.
The results demonstrate the potential of the developed force-field to model the structural, mechanical, tribological, and dynamic properties of layered heterostructures based on graphene and h-BN.
Strain solitons and topological defects in bilayer graphene
Bilayer graphene has been a subject of intense study in recent years. The interlayer registry between the layers can have dramatic effects on the electronic properties: for example, in the presence
Tuning superconductivity in twisted bilayer graphene
This study demonstrates twisted bilayer graphene to be a distinctively tunable platform for exploring correlated states by inducing superconductivity at a twist angle larger than 1.1°—in which correlated phases are otherwise absent—by varying the interlayer spacing with hydrostatic pressure.