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

Xianqing Lin and David Tománek
Phys. Rev. B 98, 081410(R) – Published 27 August 2018
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Abstract

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.

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  • Received 21 June 2018

DOI:https://doi.org/10.1103/PhysRevB.98.081410

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Xianqing Lin1,2 and David Tománek1,*

  • 1Physics and Astronomy Department, Michigan State University, East Lansing, Michigan 48824, USA
  • 2College of Science, Zhejiang University of Technology, Hangzhou 310023, China

  • *tomanek@pa.msu.edu

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Issue

Vol. 98, Iss. 8 — 15 August 2018

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