Minimum model for the electronic structure of twisted bilayer graphene and related structures

We introduce a minimum tight-binding model with only three parameters extracted from graphene and untwisted bilayer graphene. This model reproduces quantitatively the electronic structure of not only these two systems and bulk graphite near the Fermi level, but also that of twisted bilayer graphene...

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Bibliographic Details
Published in:Physical review. B 2018-08, Vol.98 (8), p.081410(R), Article 081410
Main Authors: Lin, Xianqing, Tománek, David
Format: Article
Language:English
Subjects:
Bilayers
Electronic structure
Electrons
Graphene
Quantum theory
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Summary:We introduce a minimum tight-binding model with only three parameters extracted from graphene and untwisted bilayer graphene. This model reproduces quantitatively the electronic structure of not only these two systems and bulk graphite near the Fermi level, but also that of twisted bilayer graphene including the value of the first magic angle, at which bands at EF flatten without overlap and two gaps open, one above and one below EF. Our approach also predicts the second and third magic angle. The Hamiltonian is sufficiently transparent and flexible to be adopted to other twisted layered systems.
ISSN:2469-9950
2469-9969
DOI:10.1103/PhysRevB.98.081410