Abstract

The bands of graphite are extremely sensitive to topological defects which modify the electronic structure. In this paper we found non-dispersive flat bands no farther than 10 meV of the Fermi energy in slightly twisted bilayer graphene as a signature of a transition from a parabolic dispersion of bilayer graphene to the characteristic linear dispersion of graphene. This transition occurs for relative rotation angles of layers around $1.5^o$ and is related to a process of layer decoupling. We have performed ab-initio calculations to develop a tight binding model with an interaction Hamiltonian between layers that includes the $\pi$ orbitals of all atoms and takes into account interactions up to third nearest-neighbors within a layer.

Keywords

Bilayer grapheneGrapheneCondensed matter physicsHamiltonian (control theory)Tight bindingBilayerAtomic orbitalFermi levelFermi energyMaterials scienceSuperconductivityElectronic band structurePhysicsElectronic structureQuantum mechanicsNanotechnologyChemistry

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Year
2010
Type
article
Volume
82
Issue
12
Citations
859
Access
Closed

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Eric Suárez Morell, J.D. Correa, P. Vargas et al. (2010). Flat bands in slightly twisted bilayer graphene: Tight-binding calculations. Physical Review B , 82 (12) . https://doi.org/10.1103/physrevb.82.121407

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DOI
10.1103/physrevb.82.121407