Numerical studies of confined states in rotated bilayers of graphene

By G. T. D. Laissardière, D. Mayou, L. Magaud. 2012

223 citations recorded by the source corpus.

Rotated graphene multilayers form a new class of graphene-related systems with electronic properties that drastically depend on the rotation angles. It has been shown that bilayers behave like two isolated graphene planes for large rotation angles. For smaller angles, states in the Dirac cones belonging to the two layers interact resulting in the appearance of two Van Hove singularities. States become localized as the rotation angle decreases and the two Van Hove singularities merge into one peak at the Dirac energy. Here we go further and consider bilayers with very small rotation angles. In this case, well-defined regions of AA stacking exist in the bilayer supercell and we show that states are confined in these regions for energies in the [$\ensuremath{-}{\ensuremath{\gamma}}_{t}$, $+{\ensuremath{\gamma}}_{t}$] range with ${\ensuremath{\gamma}}_{t}$ the interplane mean interaction. As a consequence, the local densities of states show discrete peaks for energies different from the Dirac energy.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/709faa44cef2907db60f1e60a7465ea4856d0c49

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Franco Nori
2. A. O. Sboychakov
3. A. Rakhmanov
4. A. Rozhkov
5. Sahel Ashhab
6. I. Georgescu
7. K. Bliokh
8. J. You

In Materials Chemistry

1. Franco Nori
2. A. O. Sboychakov
3. A. Rakhmanov
4. A. Rozhkov

Citations in the corpus

• Electronic properties of graphene-based bilayer systems (2015, methodology): “[375], the authors focused on the small angles.”